312381330 has 64 divisors (see below), whose sum is σ = 780848640. Its totient is φ = 79881984.

The previous prime is 312381281. The next prime is 312381347. The reversal of 312381330 is 33183213.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 312381330.

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, 135447 + ... + 137733.

It is an arithmetic number, because the mean of its divisors is an integer number (12200760).

Almost surely, 2^312381330 is an apocalyptic number.

312381330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 312381330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390424320).

312381330 is an abundant number, since it is smaller than the sum of its proper divisors (468467310).

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

312381330 is a wasteful number, since it uses less digits than its factorization.

312381330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2483.

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 312381330 is about 17674.3127164821. The cubic root of 312381330 is about 678.5184946230.

The spelling of 312381330 in words is "three hundred twelve million, three hundred eighty-one thousand, three hundred thirty".