313393752 has 128 divisors (see below), whose sum is σ = 1047360000. Its totient is φ = 84820608.

The previous prime is 313393747. The next prime is 313393777. The reversal of 313393752 is 257393313.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 23274 + ... + 34182.

It is an arithmetic number, because the mean of its divisors is an integer number (8182500).

Almost surely, 2^313393752 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 313393752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523680000).

313393752 is an abundant number, since it is smaller than the sum of its proper divisors (733966248).

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

313393752 is a wasteful number, since it uses less digits than its factorization.

313393752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10950 (or 10940 counting only the distinct ones).

The product of its digits is 51030, while the sum is 36.

The square root of 313393752 is about 17702.9306048462. The cubic root of 313393752 is about 679.2507260245.

The spelling of 313393752 in words is "three hundred thirteen million, three hundred ninety-three thousand, seven hundred fifty-two".