312949248 has 80 divisors (see below), whose sum is σ = 845439936. Its totient is φ = 102850560.

The previous prime is 312949193. The next prime is 312949249. The reversal of 312949248 is 842949213.

It is not an unprimeable number, because it can be changed into a prime (312949249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110733 + ... + 113523.

Almost surely, 2^312949248 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 312949248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422719968).

312949248 is an abundant number, since it is smaller than the sum of its proper divisors (532490688).

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

312949248 is an equidigital number, since it uses as much as digits as its factorization.

312949248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2885 (or 2869 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 312949248 is about 17690.3716184822. The cubic root of 312949248 is about 678.9294342275.

The spelling of 312949248 in words is "three hundred twelve million, nine hundred forty-nine thousand, two hundred forty-eight".