312242880 has 112 divisors (see below), whose sum is σ = 1015678944. Its totient is φ = 81223680.

The previous prime is 312242873. The next prime is 312242897. The reversal of 312242880 is 88242213.

312242880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×312242880² = 194991232221388800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35394 + ... + 43326.

It is an arithmetic number, because the mean of its divisors is an integer number (9068562).

Almost surely, 2^312242880 is an apocalyptic number.

312242880 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 312242880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507839472).

312242880 is an abundant number, since it is smaller than the sum of its proper divisors (703436064).

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

312242880 is a wasteful number, since it uses less digits than its factorization.

312242880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7994 (or 7984 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 312242880 is about 17670.3955813106. The cubic root of 312242880 is about 678.4182381326.

The spelling of 312242880 in words is "three hundred twelve million, two hundred forty-two thousand, eight hundred eighty".