313412420 has 24 divisors (see below), whose sum is σ = 658563864. Its totient is φ = 125289216.

The previous prime is 313412381. The next prime is 313412443. The reversal of 313412420 is 24214313.

It can be written as a sum of positive squares in 4 ways, for example, as 30096196 + 283316224 = 5486^2 + 16832^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 313412392 and 313412401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39074 + ... + 46406.

It is an arithmetic number, because the mean of its divisors is an integer number (27440161).

Almost surely, 2^313412420 is an apocalyptic number.

It is an amenable number.

313412420 is an abundant number, since it is smaller than the sum of its proper divisors (345151444).

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

313412420 is a wasteful number, since it uses less digits than its factorization.

313412420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9479 (or 9477 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 313412420 is about 17703.4578543289. The cubic root of 313412420 is about 679.2642127865.

Adding to 313412420 its reverse (24214313), we get a palindrome (337626733).

The spelling of 313412420 in words is "three hundred thirteen million, four hundred twelve thousand, four hundred twenty".