312426020 has 48 divisors (see below), whose sum is σ = 688262400. Its totient is φ = 118901376.

The previous prime is 312426011. The next prime is 312426041. The reversal of 312426020 is 20624213.

It is a super-2 number, since 2×312426020² = 195220035946080800, which contains 22 as substring.

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 = 312425983 and 312426001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89834 + ... + 93246.

It is an arithmetic number, because the mean of its divisors is an integer number (14338800).

Almost surely, 2^312426020 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 312426020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344131200).

312426020 is an abundant number, since it is smaller than the sum of its proper divisors (375836380).

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

312426020 is a wasteful number, since it uses less digits than its factorization.

312426020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3644 (or 3642 counting only the distinct ones).

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

The square root of 312426020 is about 17675.5769354214. The cubic root of 312426020 is about 678.5508498917.

The spelling of 312426020 in words is "three hundred twelve million, four hundred twenty-six thousand, twenty".