313436790 has 80 divisors (see below), whose sum is σ = 845848080. Its totient is φ = 83280960.

The previous prime is 313436771. The next prime is 313436791. The reversal of 313436790 is 97634313.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313436791) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 306480 + ... + 307500.

It is an arithmetic number, because the mean of its divisors is an integer number (10573101).

Almost surely, 2^313436790 is an apocalyptic number.

313436790 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 313436790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422924040).

313436790 is an abundant number, since it is smaller than the sum of its proper divisors (532411290).

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

313436790 is a wasteful number, since it uses less digits than its factorization.

313436790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1419 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 313436790 is about 17704.1461245664. The cubic root of 313436790 is about 679.2818181724.

The spelling of 313436790 in words is "three hundred thirteen million, four hundred thirty-six thousand, seven hundred ninety".