313038432 has 240 divisors, whose sum is σ = 1071366912. Its totient is φ = 88179840.

The previous prime is 313038413. The next prime is 313038449. The reversal of 313038432 is 234830313.

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

It is a junction number, because it is equal to n+sod(n) for n = 313038396 and 313038405.

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 39 ways as a sum of consecutive naturals, for example, 4408957 + ... + 4409027.

Almost surely, 2^313038432 is an apocalyptic number.

313038432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313038432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535683456).

313038432 is an abundant number, since it is smaller than the sum of its proper divisors (758328480).

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

313038432 is an frugal number, since it uses more digits than its factorization.

313038432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 313038432 is about 17692.8921321530. The cubic root of 313038432 is about 678.9939216720.

Adding to 313038432 its reverse (234830313), we get a palindrome (547868745).

The spelling of 313038432 in words is "three hundred thirteen million, thirty-eight thousand, four hundred thirty-two".