313413224 has 64 divisors (see below), whose sum is σ = 651110400. Its totient is φ = 140774400.

The previous prime is 313413223. The next prime is 313413301. The reversal of 313413224 is 422314313.

It is a self number, because there is not a number n which added to its sum of digits gives 313413224.

It is not an unprimeable number, because it can be changed into a prime (313413223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 332594 + ... + 333534.

It is an arithmetic number, because the mean of its divisors is an integer number (10173600).

Almost surely, 2^313413224 is an apocalyptic number.

313413224 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

313413224 is an abundant number, since it is smaller than the sum of its proper divisors (337697176).

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

313413224 is a wasteful number, since it uses less digits than its factorization.

313413224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1070 counting only the distinct ones).

The product of its digits is 1728, while the sum is 23.

The square root of 313413224 is about 17703.4805617427. The cubic root of 313413224 is about 679.2647936270.

Adding to 313413224 its reverse (422314313), we get a palindrome (735727537).

The spelling of 313413224 in words is "three hundred thirteen million, four hundred thirteen thousand, two hundred twenty-four".