313939080 has 432 divisors, whose sum is σ = 1313659620. Its totient is φ = 64447488.

The previous prime is 313939069. The next prime is 313939081. The reversal of 313939080 is 80939313.

313939080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 214856964 + 99082116 = 14658^2 + 9954^2 .

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

It is not an unprimeable number, because it can be changed into a prime (313939081) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 8484822 + ... + 8484858.

Almost surely, 2^313939080 is an apocalyptic number.

313939080 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 313939080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656829810).

313939080 is an abundant number, since it is smaller than the sum of its proper divisors (999720540).

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

313939080 is a wasteful number, since it uses less digits than its factorization.

313939080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 313939080 is about 17718.3261060406. The cubic root of 313939080 is about 679.6444796711.

The spelling of 313939080 in words is "three hundred thirteen million, nine hundred thirty-nine thousand, eighty".