312949224 has 128 divisors (see below), whose sum is σ = 1036800000. Its totient is φ = 85516992.

The previous prime is 312949193. The next prime is 312949249. The reversal of 312949224 is 422949213.

312949224 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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30277 + ... + 39275.

It is an arithmetic number, because the mean of its divisors is an integer number (8100000).

Almost surely, 2^312949224 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 312949224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518400000).

312949224 is an abundant number, since it is smaller than the sum of its proper divisors (723850776).

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

312949224 is a wasteful number, since it uses less digits than its factorization.

312949224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9044 (or 9034 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 312949224 is about 17690.3709401471. The cubic root of 312949224 is about 678.9294168719.

The spelling of 312949224 in words is "three hundred twelve million, nine hundred forty-nine thousand, two hundred twenty-four".