313306000 has 240 divisors, whose sum is σ = 926190720. Its totient is φ = 102009600.

The previous prime is 313305929. The next prime is 313306001. The reversal of 313306000 is 603313.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (313306001) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2253931 + ... + 2254069.

It is an arithmetic number, because the mean of its divisors is an integer number (3859128).

Almost surely, 2^313306000 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 313306000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463095360).

313306000 is an abundant number, since it is smaller than the sum of its proper divisors (612884720).

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

313306000 is a wasteful number, since it uses less digits than its factorization.

313306000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

The square root of 313306000 is about 17700.4519716306. The cubic root of 313306000 is about 679.1873221080.

Adding to 313306000 its reverse (603313), we get a palindrome (313909313).

The spelling of 313306000 in words is "three hundred thirteen million, three hundred six thousand".