312978330 has 240 divisors, whose sum is σ = 1027040256. Its totient is φ = 66977280.

The previous prime is 312978307. The next prime is 312978343. The reversal of 312978330 is 33879213.

It is a happy number.

312978330 is a `hidden beast` number, since 31 + 297 + 8 + 330 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1638535 + ... + 1638725.

Almost surely, 2^312978330 is an apocalyptic number.

312978330 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 312978330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513520128).

312978330 is an abundant number, since it is smaller than the sum of its proper divisors (714061926).

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

312978330 is a wasteful number, since it uses less digits than its factorization.

312978330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 312978330 is about 17691.1935719442. The cubic root of 312978330 is about 678.9504642767.

The spelling of 312978330 in words is "three hundred twelve million, nine hundred seventy-eight thousand, three hundred thirty".