312683280 has 320 divisors, whose sum is σ = 1213255680. Its totient is φ = 64862208.

The previous prime is 312683279. The next prime is 312683297. The reversal of 312683280 is 82386213.

312683280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2249451 + ... + 2249589.

It is an arithmetic number, because the mean of its divisors is an integer number (3791424).

Almost surely, 2^312683280 is an apocalyptic number.

312683280 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 312683280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606627840).

312683280 is an abundant number, since it is smaller than the sum of its proper divisors (900572400).

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

312683280 is a wasteful number, since it uses less digits than its factorization.

312683280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 312683280 is about 17682.8527110305. The cubic root of 312683280 is about 678.7370444773.

The spelling of 312683280 in words is "three hundred twelve million, six hundred eighty-three thousand, two hundred eighty".