312934644 has 96 divisors (see below), whose sum is σ = 889553280. Its totient is φ = 94348800.

The previous prime is 312934613. The next prime is 312934649. The reversal of 312934644 is 446439213.

It is a happy number.

312934644 is a `hidden beast` number, since 3 + 1 + 2 + 9 + 3 + 4 + 644 = 666.

312934644 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 312934599 and 312934608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312934649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 285762 + ... + 286854.

It is an arithmetic number, because the mean of its divisors is an integer number (9266180).

Almost surely, 2^312934644 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 312934644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444776640).

312934644 is an abundant number, since it is smaller than the sum of its proper divisors (576618636).

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

312934644 is a wasteful number, since it uses less digits than its factorization.

312934644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1358 (or 1350 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 312934644 is about 17689.9588467582. The cubic root of 312934644 is about 678.9188731544.

It can be divided in two parts, 31293 and 4644, that added together give a cube (35937 = 33³).

The spelling of 312934644 in words is "three hundred twelve million, nine hundred thirty-four thousand, six hundred forty-four".