313260000 has 240 divisors, whose sum is σ = 1076955264. Its totient is φ = 79552000.

The previous prime is 313259993. The next prime is 313260061. The reversal of 313260000 is 62313.

313260000 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 (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1379887 + ... + 1380113.

Almost surely, 2^313260000 is an apocalyptic number.

313260000 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 313260000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538477632).

313260000 is an abundant number, since it is smaller than the sum of its proper divisors (763695264).

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

313260000 is a wasteful number, since it uses less digits than its factorization.

313260000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 313260000 is about 17699.1525220842. The cubic root of 313260000 is about 679.1540807551.

The spelling of 313260000 in words is "three hundred thirteen million, two hundred sixty thousand".