313411984 has 80 divisors (see below), whose sum is σ = 663957504. Its totient is φ = 142876800.

The previous prime is 313411981. The next prime is 313412009. The reversal of 313411984 is 489114313.

It is not an unprimeable number, because it can be changed into a prime (313411981) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 946699 + ... + 947029.

Almost surely, 2^313411984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313411984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331978752).

313411984 is an abundant number, since it is smaller than the sum of its proper divisors (350545520).

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

313411984 is a wasteful number, since it uses less digits than its factorization.

313411984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 470 counting only the distinct ones).

The product of its digits is 10368, while the sum is 34.

The square root of 313411984 is about 17703.4455403461. The cubic root of 313411984 is about 679.2638978028.

The spelling of 313411984 in words is "three hundred thirteen million, four hundred eleven thousand, nine hundred eighty-four".