313918380 has 108 divisors (see below), whose sum is σ = 1005181632. Its totient is φ = 79289280.

The previous prime is 313918373. The next prime is 313918441. The reversal of 313918380 is 83819313.

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 a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 62565 + ... + 67395.

Almost surely, 2^313918380 is an apocalyptic number.

313918380 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 313918380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502590816).

313918380 is an abundant number, since it is smaller than the sum of its proper divisors (691263252).

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

313918380 is a wasteful number, since it uses less digits than its factorization.

313918380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4884 (or 4860 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 313918380 is about 17717.7419554524. The cubic root of 313918380 is about 679.6295415819.

The spelling of 313918380 in words is "three hundred thirteen million, nine hundred eighteen thousand, three hundred eighty".