312947424 has 144 divisors (see below), whose sum is σ = 965895840. Its totient is φ = 95723520.

The previous prime is 312947413. The next prime is 312947447. The reversal of 312947424 is 424749213.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 199957 + ... + 201515.

It is an arithmetic number, because the mean of its divisors is an integer number (6707610).

Almost surely, 2^312947424 is an apocalyptic number.

312947424 is a gapful number since it is divisible by the number (34) 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 312947424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482947920).

312947424 is an abundant number, since it is smaller than the sum of its proper divisors (652948416).

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

312947424 is a wasteful number, since it uses less digits than its factorization.

312947424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633 (or 1622 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 312947424 is about 17690.3200649395. The cubic root of 312947424 is about 678.9281151961.

The spelling of 312947424 in words is "three hundred twelve million, nine hundred forty-seven thousand, four hundred twenty-four".