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313346953 is a prime number
BaseRepresentation
bin10010101011010…
…100101110001001
3210211121200012201
4102223110232021
51120204100303
651032040201
710523255653
oct2253245611
9724550181
10313346953
11150970227
1288b33061
134cbc1bca
142d8896d3
151c79881d
hex12ad4b89

313346953 has 2 divisors, whose sum is σ = 313346954. Its totient is φ = 313346952.

The previous prime is 313346923. The next prime is 313346959. The reversal of 313346953 is 359643313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 313042249 + 304704 = 17693^2 + 552^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-313346953 is a prime.

It is not a weakly prime, because it can be changed into another prime (313346959) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156673476 + 156673477.

It is an arithmetic number, because the mean of its divisors is an integer number (156673477).

Almost surely, 2313346953 is an apocalyptic number.

It is an amenable number.

313346953 is a deficient number, since it is larger than the sum of its proper divisors (1).

313346953 is an equidigital number, since it uses as much as digits as its factorization.

313346953 is an evil number, because the sum of its binary digits is even.

The product of its digits is 87480, while the sum is 37.

The square root of 313346953 is about 17701.6087686967. The cubic root of 313346953 is about 679.2169135687.

It can be divided in two parts, 3133 and 46953, that added together give a triangular number (50086 = T316).

The spelling of 313346953 in words is "three hundred thirteen million, three hundred forty-six thousand, nine hundred fifty-three".