312324840 has 96 divisors (see below), whose sum is σ = 1025032320. Its totient is φ = 82468224.

The previous prime is 312324787. The next prime is 312324847. The reversal of 312324840 is 48423213.

It is not an unprimeable number, because it can be changed into a prime (312324847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32869 + ... + 41291.

It is an arithmetic number, because the mean of its divisors is an integer number (10677420).

Almost surely, 2^312324840 is an apocalyptic number.

312324840 is a gapful number since it is divisible by the number (30) 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 312324840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512516160).

312324840 is an abundant number, since it is smaller than the sum of its proper divisors (712707480).

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

312324840 is a wasteful number, since it uses less digits than its factorization.

312324840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8543 (or 8536 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 312324840 is about 17672.7145622850. The cubic root of 312324840 is about 678.4775918152.

The spelling of 312324840 in words is "three hundred twelve million, three hundred twenty-four thousand, eight hundred forty".