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313083252 = 22332898919
BaseRepresentation
bin10010101010010…
…100010101110100
3210211010021111000
4102222110111310
51120122131002
651022243300
710521110106
oct2252242564
9724107430
10313083252
11150800099
1288a26530
134cb2bb81
142d81b576
151c74561c
hex12a94574

313083252 has 24 divisors (see below), whose sum is σ = 811697600. Its totient is φ = 104361048.

The previous prime is 313083209. The next prime is 313083259. The reversal of 313083252 is 252380313.

313083252 is a `hidden beast` number, since 31 + 308 + 325 + 2 = 666.

It is a super-2 number, since 2×3130832522 = 196042245365791008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313083259) 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 in 7 ways as a sum of consecutive naturals, for example, 1449352 + ... + 1449567.

Almost surely, 2313083252 is an apocalyptic number.

It is an amenable number.

313083252 is an abundant number, since it is smaller than the sum of its proper divisors (498614348).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

313083252 is a wasteful number, since it uses less digits than its factorization.

313083252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2898932 (or 2898924 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 313083252 is about 17694.1586971520. The cubic root of 313083252 is about 679.0263256328.

The spelling of 313083252 in words is "three hundred thirteen million, eighty-three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 2898919 5797838 8696757 11595676 17393514 26090271 34787028 52180542 78270813 104361084 156541626 313083252