313466832 has 120 divisors (see below), whose sum is σ = 1012851840. Its totient is φ = 88646400.

The previous prime is 313466821. The next prime is 313466837. The reversal of 313466832 is 238664313.

It is a super-2 number, since 2×313466832² = 196522909528232448, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313466837) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100269 + ... + 103347.

It is an arithmetic number, because the mean of its divisors is an integer number (8440432).

Almost surely, 2^313466832 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 313466832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506425920).

313466832 is an abundant number, since it is smaller than the sum of its proper divisors (699385008).

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

313466832 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (313466831) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (3201).

313466832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3201 (or 3192 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 313466832 is about 17704.9945495614. The cubic root of 313466832 is about 679.3035198712.

The spelling of 313466832 in words is "three hundred thirteen million, four hundred sixty-six thousand, eight hundred thirty-two".