313150032 has 90 divisors (see below), whose sum is σ = 946112622. Its totient is φ = 96118272.

The previous prime is 313150031. The next prime is 313150063. The reversal of 313150032 is 230051313.

313150032 is a `hidden beast` number, since 3 + 131 + 500 + 32 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 125350416 + 187799616 = 11196^2 + 13704^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 313149987 and 313150014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313150031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 765444 + ... + 765852.

Almost surely, 2^313150032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313150032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473056311).

313150032 is an abundant number, since it is smaller than the sum of its proper divisors (632962590).

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

313150032 is a wasteful number, since it uses less digits than its factorization.

313150032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 313150032 is about 17696.0456599773. The cubic root of 313150032 is about 679.0746004970.

The spelling of 313150032 in words is "three hundred thirteen million, one hundred fifty thousand, thirty-two".