313443312 has 160 divisors (see below), whose sum is σ = 1011268608. Its totient is φ = 81451008.

The previous prime is 313443301. The next prime is 313443337. The reversal of 313443312 is 213344313.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 318373 + ... + 319355.

Almost surely, 2^313443312 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 313443312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505634304).

313443312 is an abundant number, since it is smaller than the sum of its proper divisors (697825296).

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

313443312 is a wasteful number, since it uses less digits than its factorization.

313443312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1081 counting only the distinct ones).

The product of its digits is 2592, while the sum is 24.

The square root of 313443312 is about 17704.3303177499. The cubic root of 313443312 is about 679.2865296437.

Adding to 313443312 its reverse (213344313), we get a palindrome (526787625).

The spelling of 313443312 in words is "three hundred thirteen million, four hundred forty-three thousand, three hundred twelve".