300 (number)

300 (three hundred) is the natural number following 299 and preceding 301.

Mathematical properties

The number 300 is a triangular number and the sum of a pair of twin primes (149 + 151), as well as the sum of ten consecutive primes (13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47). It is palindromic in 3 consecutive bases: 300₁₀ = 606₇ = 454₈ = 363₉, and also in bases 13, 19, 24, 29, 49 and 59.

Other fields

Three hundred is:

• In bowling, a perfect score, achieved by rolling strikes in all ten frames (a total of twelve strikes)
• The lowest possible Fair Isaac credit score
• Three hundred ft/s is the maximum legal speed of a shot paintball
• In the Hebrew Bible, the size of the military force deployed by the Israelite judge Gideon against the Midianites (Judges 7:7-8)
• According to Islamic tradition, 300 is the number of ancient Israeli king Thalut's soldiers victorious against Goliath's soldiers
• According to Herodotus, 300 is the number of ancient Spartans resisting one million Persian invaders during the Battle of Thermopylae
• In Islamic history, 300 is the number of Muhammad's followers victorious in the Battle of Badr
• Three hundred is the number of families followers of Jewish heretic Sabbatai Zevi forced to convert to Islam by the Ottoman Sultan and became the ancestors of Donmeh
• Three hundred is the number of seats in the Hellenic parliament

Integers from 301 to 399

300s

301

301 = 7 × 43. 301 is the sum of three consecutive primes (97 + 101 + 103), happy number in base 10^[1]

An HTTP status code, indicating the content has been moved and the change is permanent (permanent redirect). It is also the number of a debated Turkish penal code.

302

302 = 2 × 151. 302 is a nontotient^[2] and a happy number^[1]

302 is the HTTP status code indicating the content has been moved (temporary redirect). It is also the displacement in cubic inches of Ford's "5.0" V8 and the area code for the state of Delaware.

303

303 = 3 × 101

303 is the "See other" HTTP status code, indicating content can be found elsewhere. Model number of the Roland TB-303 synthesizer which is accredited as having been used to create the first acid house music tracks, in the late 1980s.

304

304 = 2⁴ × 19. 304 is the sum of six consecutive primes (41 + 43 + 47 + 53 + 59 + 61), sum of eight consecutive primes (23 + 29 + 31 + 37 + 41 + 43 + 47 + 53), primitive semiperfect number,^[3] untouchable number,^[4] nontotient^[2]

304 is the HTTP code indicating the content has not been modified, and the record number of wickets taken in English cricket season by Tich Freeman in 1928. 304 is also the name of a card game popular in Sri Lanka and southern India.

It is also one of the telephone area codes for West Virginia.

305

305 = 5 × 61.

305 is the HTTP status code indicating a proxy must be used.

306

306 = 2 × 3² × 17. 306 is the sum of four consecutive primes (71 + 73 + 79 + 83), pronic number,^[5] Harshad number, and an untouchable number.^[4]

It is also a telephone area code for the province of Saskatchewan, Canada.

307

307 is a prime number, Chen prime,^[6] and the HTTP status code for "temporary redirect"

308

308 = 2² × 7 × 11. 308 is a nontotient,^[2] totient sum of the first 31 integers, Harshad number, heptagonal pyramidal number,^[7] and the sum of two consecutive primes (151 + 157).

309

309 = 3 × 103

310s

310

310 = 2 × 5 × 31. 310 is a sphenic number,^[8] noncototient,^[9] and self number.^[10]

311

311: a prime number, see 311 (number).

312

312 = 2³ × 3 × 13. 312 is Harshad number and self number^[10]

313

313: a prime number, see 313 (number).

314

314 = 2 × 157. 314 is a nontotient.^[2]

315

315 = 3² × 5 × 7. 315 is a Harshad number

316

316 = 2² × 79. 316 is a centered triangular number^[11] and a centered heptagonal number^[12]

317

317 is a prime number, Eisenstein prime with no imaginary part, Chen prime,^[6] and a strictly non-palindromic number.

317 is also shorthand for the LM317 adjustable regulator chip. It is also the area code for the Indianapolis region.

318

318 = 2 × 3 × 53. It is a sphenic number,^[8] nontotient,^[2] and the sum of twelve consecutive primes (7 + 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47)

319

319 = 11 × 29. 319 is the sum of three consecutive primes (103 + 107 + 109), Smith number,^[13] cannot be represented as the sum of fewer than 19 fourth powers, happy number in base 10^[1]

"319" is a song by Prince.

British Rail Class 319s are dual-voltage electric multiple unit trains

320s

320

320 = 2⁶ × 5 = (2⁵) × (2 × 5). 320 is a Leyland number,^[14] maximum determinant of a 10 by 10 matrix of zeros and ones, and a Harshad number. The largest of only two numbers (92 is the other) which has an hexadecimal representation of its MD5-value that starts with the number itself. A popular bitrate.

321

321 = 3 × 107, a Delannoy number^[15]

An area code in central Florida.

322

322 = 2 × 7 × 23. 322 is a sphenic,^[8] nontotient, untouchable,^[4] Lucas number,^[16] and a Harshad number.

It is also seen as a Skull and Bones reference of power

323

323 = 17 × 19. 323 is the sum of nine consecutive primes (19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53), the sum of the 13 consecutive primes (5 + 7 + 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47), Motzkin number,^[17] self number.^[10] A Lucas and Fibonacci pseudoprime. See 323 (disambiguation)

324

324 = 2² × 3⁴ = 18². 324 is the sum of four consecutive primes (73 + 79 + 83 + 89), totient sum of the first 32 integers, untouchable number,^[4] and a Harshad number.

325

325 = 5² × 13. 325 is a triangular number, hexagonal number,^[18] nonagonal number,^[19] centered nonagonal number.^[20] 325 is the smallest number to be the sum of two squares in 3 different ways: 1² + 18², 6² + 17² and 10² + 15². 325 is also the smallest (and only known) 3-hyperperfect number.

326

326 = 2 × 163. 326 is a nontotient, noncototient,^[9] and an untouchable number.^[4] 326 is the sum of the 14 consecutive primes (3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47).

327

327 = 3 × 109. 327 is a perfect totient number.^[21]

328

328 = 2³ × 41. 328 is the sum of the first fifteen primes, and a refactorable number.^[22] It is the sum of the first fifteen primes (2 + 3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47).

329

329 = 7 × 47. 329 is the sum of three consecutive primes (107 + 109 + 113), and a highly cototient number.^[23]

330s

330

330 = 2 × 3 × 5 × 11. 330 is sum of six consecutive primes (43 + 47 + 53 + 59 + 61 + 67), pentatope number (and hence a binomial coefficient ), a pentagonal number,^[24] divisible by the number of primes below it, sparsely totient number,^[25] and a Harshad number. It is also the number of dimples on a British golf ball.

331

331 is a prime number, cuban prime,^[26] sum of five consecutive primes (59 + 61 + 67 + 71 + 73), centered pentagonal number,^[27] centered hexagonal number,^[28] and Mertens function returns 0.^[29]

332

332 = 2² × 83, Mertens function returns 0.^[29]

333

333 = 3² × 37, Mertens function returns 0,^[29] Harshad number.

Symbolically, 333 is used to represent Choronzon, a demon used in the philosophy of Thelema.

334

334 = 2 × 167, nontotient, self number,^[10]

334 was the long-time highest score for Australia in Test cricket (held by Sir Donald Bradman and Mark Taylor). 334 is also the name of a science fiction novel by Thomas M. Disch.

335

335 = 5 × 67, divisible by the number of primes below it.

336

336 = 2⁴ × 3 × 7, Harshad number, untouchable number,^[4] also the number of dimples on an American golf ball.

337

337, prime number, permutable prime with 373 and 733, Chen prime,^[6] star number

338

338 = 2 × 13², nontotient.

339

339 = 3 × 113

340s

340

340 = 2² × 5 × 17, sum of eight consecutive primes (29 + 31 + 37 + 41 + 43 + 47 + 53 + 59), sum of ten consecutive primes (17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53), sum of the first four powers of 4 (4¹ + 4² + 4³ + 4⁴), divisible by the number of primes below it, nontotient, noncototient.^[9]

341

341 = 11 × 31, sum of seven consecutive primes (37 + 41 + 43 + 47 + 53 + 59 + 61), octagonal number,^[30] centered cube number,^[31] super-Poulet number. 341 is the smallest Fermat pseudoprime; it is the least composite odd modulus m greater than the base b, that satisfies the Fermat property "b^m−1 − 1 is divisible by m", for bases up to 128 of b = 2, 15, 60, 63, 78, and 108.

342

342 = 2 × 3² × 19, pronic number,^[5] Harshad number, untouchable number.^[4]

343

343 = 7³, nice Friedman number since 343 = (3 + 4)³. It's the only known example of x²+x+1 = y³, in this case, x=18, y=7. It is z³ in a triplet (x,y,z) such that x⁵ + y² = z³.

The speed of sound in dry air at 20 °C (68 °F) is 343 m/s.

344

344 = 2³ × 43, octahedral number,^[32] noncototient,^[9] totient sum of the first 33 integers, refactorable number.^[22]

345

345 = 3 × 5 × 23, sphenic number,^[8] self number.^[10]

346

346 = 2 × 173, Smith number,^[13] noncototient.^[9]

347

347 is a prime number, safe prime,^[33] Eisenstein prime with no imaginary part, Chen prime,^[6] Friedman number since 347 = 7³ + 4, and a strictly non-palindromic number.

It is the number of an area code in New York.

348

348 = 2² × 3 × 29, sum of four consecutive primes (79 + 83 + 89 + 97), refactorable number.^[22]

349

349, prime number, sum of three consecutive primes (109 + 113 + 127), since 1976 the number of seats in the Swedish parliament.^[34]

350s

350

350 = 2 × 5² × 7, primitive semiperfect number,^[3] divisible by the number of primes below it, nontotient, a truncated icosahedron of frequency 6 has 350 hexagonal faces and 12 pentagonal faces.

350.org is an international environmental organization. 350 is the number of cubic inches displaced in the most common form of the Small Block Chevrolet V8. The number of seats in the Congress of Deputies (Spain) is 350.

351

351 = 3³ × 13, triangular number, sum of five consecutive primes (61 + 67 + 71 + 73 + 79), member of Padovan sequence,^[35] Harshad number.

It is also the 351 Windsor engine from Ford Motor Company as well as the 351 (building) in St. John's, Newfoundland and Labrador.

352

352 = 2⁵ × 11, the number of n-Queens Problem solutions for n = 9. It is the sum of two consecutive primes (173 + 179).

The number of international appearances by Kristine Lilly for the USA women's national football (soccer) team, an all-time record for the sport.

353

353 is a prime number, Chen prime,^[6] Proth prime,^[36] Eisenstein prime with no imaginary part, palindromic prime, and Mertens function returns 0.^[29] 353 is the base of the smallest 4th power that is the sum of 4 other 4th powers, discovered by Norrie in 1911: 353⁴ = 30⁴ + 120⁴ + 272⁴ + 315⁴.

354

354 = 2 × 3 × 59, sphenic number,^[8] nontotient, also SMTP code meaning start of mail input. It is also sum of absolute value of the coefficients of Conway's polynomial.

355

355 = 5 × 71, Smith number,^[13] Mertens function returns 0,^[29] divisible by the number of primes below it. the numerator of the best simplified rational approximation of pi having a denominator of four digits or fewer. This fraction (355/113) is known as Milü.

356

356 = 2² × 89, Mertens function returns 0,^[29] self number.^[10]

357

357 = 3 × 7 × 17, sphenic number.^[8]

357 also refers to firearms or ammunition of .357 caliber, with the best-known cartridge of that size being the .357 Magnum. The .357 SIG, whose name was inspired by the performance of the .357 Magnum, is actually a 9 mm or .355 caliber.

358

358 = 2 × 179, sum of six consecutive primes (47 + 53 + 59 + 61 + 67 + 71), Mertens function returns 0.^[29] It is the country calling code for Finland.

359

359 is a prime number, safe prime,^[33] Eisenstein prime with no imaginary part, Chen prime,^[6] and strictly non-palindromic number.

360s

360

360 has its own article.

361

361 = 19², centered triangular number,^[11] centered octagonal number, centered decagonal number,^[37] member of the Mian–Chowla sequence;^[38] also the number of positions on a standard 19 x 19 Go board.

362

362 = 2 × 181, Mertens function returns 0,^[29] nontotient, noncototient.^[9]

363

363 = 3 × 11², sum of nine consecutive primes (23 + 29 + 31 + 37 + 41 + 43 + 47 + 53 + 59), Mertens function returns 0,^[29] perfect totient number.^[21]

364

364 = 2² × 7 × 13, tetrahedral number,^[39] sum of twelve consecutive primes (11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53), Mertens function returns 0,^[29] nontotient, Harshad number. It is a repdigit in base 3 (111111), base 9 (444), base 25 (EE), base 27 (DD), base 51 (77) and base 90 (44).

The total number of gifts received in the song "The Twelve Days of Christmas".

365

365 = 5 × 73, it has its own article

366

366 = 2 × 3 × 61, sphenic number,^[8] Mertens function returns 0,^[29] noncototient.^[9] Also, the number of days in a leap year; it is 26-gonal and 123-gonal.

367

367 is a prime number, Perrin number,^[40] self number,^[10] happy number, and a strictly non-palindromic number.

368

368 = 2⁴ × 23 It is also a Leyland number.^[14]

369

369 = 3²× 41, it is the magic constant of the 9 × 9 normal magic square and n-queens problem for n = 9; there are 369 free polyominoes of order 8. With 370, a Ruth–Aaron pair with only distinct prime factors counted.

370s

370

370 = 2 × 5 × 37, sphenic number,^[8] sum of four consecutive primes (83 + 89 + 97 + 101), Nontotient, with 369 part of a Ruth–Aaron pair with only distinct prime factors counted, Harshad number, Base 10 Armstrong number since 3³ + 7³ + 0³ = 370.

System/370 is a computing architecture from IBM.

371

371 = 7 × 53, sum of three consecutive primes (113 + 127 + 131), sum of seven consecutive primes (41 + 43 + 47 + 53 + 59 + 61 + 67), sum of the primes from its least to its greatest prime factor (sequence A055233 in the OEIS), the next such composite number is 2935561623745, Armstrong number since 3³ + 7³ + 1³ = 371.

372

372 = 2² × 3 × 31, sum of eight consecutive primes (31 + 37 + 41 + 43 + 47 + 53 + 59 + 61), Harshad number, noncototient,^[9] untouchable number,^[4] refactorable number.^[22]

373

373, prime number, balanced prime,^[41] sum of five consecutive primes (67 + 71 + 73 + 79 + 83), permutable prime with 337 and 733, palindromic prime in 3 consecutive bases: 565₈ = 454₉ = 373₁₀ and also in base 4: 11311₄, two-sided primes.

374

374 = 2 × 11 × 17, sphenic number,^[8] nontotient.

375

375 = 3 × 5³, Harshad number

376

376 = 2³ × 47, pentagonal number,^[24] 1-automorphic number,^[42] nontotient, refactorable number.^[22]

377

377 = 13 × 29, Fibonacci number, a Lucas and Fibonacci pseudoprime, the sum of the squares of the first six primes, a common approximation for the impedance of free space in ohms.

377 is an approximation of 2π60, which crops up frequently in calculations involving 60 Hz AC power.

378

378 = 2 × 3³ × 7, triangular number, hexagonal number,^[18] Smith number,^[13] Harshad number, self number.^[10]

379

379 is a prime number, Chen prime,^[6] and a happy number in base 10. It is the sum of the 15 consecutive primes (3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53).

380s

380

380 = 2² × 5 × 19, pronic number.^[5]

381

381 = 3 × 127, sum of the first sixteen primes. Palindrome in base 2 and base 8.

Represents the term "I Love You", (3) words, (8) letters, (1) meaning.

It is the sum of the 16 consecutive primes (2 + 3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53).

382

382 = 2 × 191, sum of ten consecutive primes (19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53 + 59), Smith number.^[13]

383

383, prime number, safe prime,^[33] Woodall prime,^[43] Thabit number, Eisenstein prime with no imaginary part, palindromic prime.

384

384 has its own article

385

385 = 5 × 7 × 11, sphenic number,^[8] square pyramidal number,^[44] the number of integer partitions of 18.

386

386 = 2 × 193, Nontotient, noncototient,^[9] centered heptagonal number,^[12]

386 is also shorthand for the Intel 80386 microprocessor chip. 386 generation refers to South Koreans, especially politicians, born in the '60s (ko:386 세대).

387

387 = 3² × 43, also shorthand for the Intel 80387, math coprocessor chip to the 386.

388

388 = 2² × 97

389

389, prime number, Eisenstein prime with no imaginary part, Chen prime,^[6] highly cototient number,^[23] self number,^[10] strictly non-palindromic number. Smallest conductor of a rank 2 Elliptic curve.

Also, 389 equals the displacement in cubic inches of the famous Pontiac GTO V-8 engine of 1964–66. The port number for LDAP, and the name for the Fedora Directory Server project.

390s

390

390 = 2 × 3 × 5 × 13, sum of four consecutive primes (89 + 97 + 101 + 103), nontotient,

System/390 is a computing architecture from IBM.

391

391 = 17 × 23, Smith number,^[13] centered pentagonal number.^[27]

392

392 = 2³ × 7², Harshad number.

393

393 = 3 × 131, Mertens function returns 0.^[29]

393 is the number of county equivalents in Canada

394

394 = 2 × 197, a Schroder number,^[45] nontotient, noncototient.^[9]

395

395 = 5 × 79, sum of three consecutive primes (127 + 131 + 137), sum of five consecutive primes (71 + 73 + 79 + 83 + 89).

396

396 = 2² × 3² × 11, sum of a twin prime (197 + 199), totient sum of the first 36 integers, refactorable number,^[22] Harshad number, digit-reassembly number.

396 also refers to the displacement in cubic inches of early Chevrolet Big-Block engines.

397

397, prime number, cuban prime,^[26] centered hexagonal number.^[28]

398

398 = 2 × 199, Nontotient.

399

399 = 3 × 7 × 19, sphenic number,^[8] smallest Lucas–Carmichael number, Harshad number.

References