312342912 has 128 divisors (see below), whose sum is σ = 1053619200. Its totient is φ = 89233920.

The previous prime is 312342883. The next prime is 312342913. The reversal of 312342912 is 219243213.

It is a happy number.

312342912 is a `hidden beast` number, since 312 + 342 + 9 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312342913) 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, 17737 + ... + 30647.

It is an arithmetic number, because the mean of its divisors is an integer number (8231400).

Almost surely, 2^312342912 is an apocalyptic number.

312342912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312342912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526809600).

312342912 is an abundant number, since it is smaller than the sum of its proper divisors (741276288).

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

312342912 is a wasteful number, since it uses less digits than its factorization.

312342912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12941 (or 12923 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 312342912 is about 17673.2258515530. The cubic root of 312342912 is about 678.4906777747.

The spelling of 312342912 in words is "three hundred twelve million, three hundred forty-two thousand, nine hundred twelve".