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314365057 is a prime number
BaseRepresentation
bin10010101111001…
…101010010000001
3210220112101210021
4102233031102001
51120434140212
651105533441
710535026126
oct2257152201
9726471707
10314365057
111514a6136
1289344281
135018a436
142da7274d
151c8ea307
hex12bcd481

314365057 has 2 divisors, whose sum is σ = 314365058. Its totient is φ = 314365056.

The previous prime is 314365043. The next prime is 314365063. The reversal of 314365057 is 750563413.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 292546816 + 21818241 = 17104^2 + 4671^2 .

It is a cyclic number.

It is not a de Polignac number, because 314365057 - 27 = 314364929 is a prime.

It is a super-2 number, since 2×3143650572 = 197650778125226498, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (314365027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157182528 + 157182529.

It is an arithmetic number, because the mean of its divisors is an integer number (157182529).

Almost surely, 2314365057 is an apocalyptic number.

It is an amenable number.

314365057 is a deficient number, since it is larger than the sum of its proper divisors (1).

314365057 is an equidigital number, since it uses as much as digits as its factorization.

314365057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 37800, while the sum is 34.

The square root of 314365057 is about 17730.3428336849. The cubic root of 314365057 is about 679.9517389336.

The spelling of 314365057 in words is "three hundred fourteen million, three hundred sixty-five thousand, fifty-seven".