313328736 has 180 divisors, whose sum is σ = 1072373148. Its totient is φ = 89486208.

The previous prime is 313328713. The next prime is 313328737. The reversal of 313328736 is 637823313.

It is a happy number.

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 a self number, because there is not a number n which added to its sum of digits gives 313328736.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313328737) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 125775 + ... + 128241.

Almost surely, 2^313328736 is an apocalyptic number.

313328736 is a gapful number since it is divisible by the number (36) 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 313328736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536186574).

313328736 is an abundant number, since it is smaller than the sum of its proper divisors (759044412).

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

313328736 is a wasteful number, since it uses less digits than its factorization.

313328736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2503 (or 2479 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 313328736 is about 17701.0942034666. The cubic root of 313328736 is about 679.2037508065.

The spelling of 313328736 in words is "three hundred thirteen million, three hundred twenty-eight thousand, seven hundred thirty-six".