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313307 is a prime number
BaseRepresentation
bin1001100011111011011
3120220202222
41030133123
540011212
610414255
72443301
oct1143733
9526688
10313307
111a4435
1213138b
13ac7b7
1482271
1562c72
hex4c7db

313307 has 2 divisors, whose sum is σ = 313308. Its totient is φ = 313306.

The previous prime is 313301. The next prime is 313321. The reversal of 313307 is 703313.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 313307 - 210 = 312283 is a prime.

It is a super-2 number, since 2×3133072 = 196322552498, which contains 22 as substring.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 313307.

It is not a weakly prime, because it can be changed into another prime (313301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156653 + 156654.

It is an arithmetic number, because the mean of its divisors is an integer number (156654).

2313307 is an apocalyptic number.

313307 is a deficient number, since it is larger than the sum of its proper divisors (1).

313307 is an equidigital number, since it uses as much as digits as its factorization.

313307 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 189, while the sum is 17.

The square root of 313307 is about 559.7383317230. The cubic root of 313307 is about 67.9188044710.

The spelling of 313307 in words is "three hundred thirteen thousand, three hundred seven".