313419168 has 72 divisors (see below), whose sum is σ = 894357828. Its totient is φ = 104113152.

The previous prime is 313419143. The next prime is 313419179. The reversal of 313419168 is 861914313.

It can be written as a sum of positive squares in 2 ways, for example, as 274631184 + 38787984 = 16572^2 + 6228^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nude number because it is divisible by every one of its digits.

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 11 ways as a sum of consecutive naturals, for example, 89580 + ... + 93012.

Almost surely, 2^313419168 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 313419168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447178914).

313419168 is an abundant number, since it is smaller than the sum of its proper divisors (580938660).

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

313419168 is a wasteful number, since it uses less digits than its factorization.

313419168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3766 (or 3755 counting only the distinct ones).

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

The square root of 313419168 is about 17703.6484375396. The cubic root of 313419168 is about 679.2690877709.

The spelling of 313419168 in words is "three hundred thirteen million, four hundred nineteen thousand, one hundred sixty-eight".