313879104 has 336 divisors, whose sum is σ = 1174455360. Its totient is φ = 81285120.

The previous prime is 313879081. The next prime is 313879117. The reversal of 313879104 is 401978313.

It is a happy number.

313879104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 931224 + ... + 931560.

Almost surely, 2^313879104 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 313879104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587227680).

313879104 is an abundant number, since it is smaller than the sum of its proper divisors (860576256).

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

313879104 is a wasteful number, since it uses less digits than its factorization.

313879104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 313879104 is about 17716.6335402638. The cubic root of 313879104 is about 679.6011963761.

The spelling of 313879104 in words is "three hundred thirteen million, eight hundred seventy-nine thousand, one hundred four".