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313400309 is a prime number
BaseRepresentation
bin10010101011100…
…001101111110101
3210211201101101212
4102223201233311
51120212302214
651033131205
710523600345
oct2253415765
9724641355
10313400309
111509a7322
1288b59b05
134cc10291
142d8a0d25
151c7a953e
hex12ae1bf5

313400309 has 2 divisors, whose sum is σ = 313400310. Its totient is φ = 313400308.

The previous prime is 313400299. The next prime is 313400317. The reversal of 313400309 is 903004313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 191739409 + 121660900 = 13847^2 + 11030^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-313400309 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313400209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156700154 + 156700155.

It is an arithmetic number, because the mean of its divisors is an integer number (156700155).

Almost surely, 2313400309 is an apocalyptic number.

It is an amenable number.

313400309 is a deficient number, since it is larger than the sum of its proper divisors (1).

313400309 is an equidigital number, since it uses as much as digits as its factorization.

313400309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 23.

The square root of 313400309 is about 17703.1157992033. The cubic root of 313400309 is about 679.2554632131.

The spelling of 313400309 in words is "three hundred thirteen million, four hundred thousand, three hundred nine".