312947376 has 80 divisors (see below), whose sum is σ = 926512128. Its totient is φ = 89164800.

The previous prime is 312947363. The next prime is 312947413. The reversal of 312947376 is 673749213.

312947376 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 (42).

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 15 ways as a sum of consecutive naturals, for example, 143736 + ... + 145896.

Almost surely, 2^312947376 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 312947376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463256064).

312947376 is an abundant number, since it is smaller than the sum of its proper divisors (613564752).

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

312947376 is a wasteful number, since it uses less digits than its factorization.

312947376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2610 (or 2604 counting only the distinct ones).

The product of its digits is 190512, while the sum is 42.

The square root of 312947376 is about 17690.3187082653. The cubic root of 312947376 is about 678.9280804846.

It can be divided in two parts, 3129 and 47376, that added together give a palindrome (50505).

The spelling of 312947376 in words is "three hundred twelve million, nine hundred forty-seven thousand, three hundred seventy-six".