313034000 has 80 divisors (see below), whose sum is σ = 760973616. Its totient is φ = 124544000.

The previous prime is 313033991. The next prime is 313034011. The reversal of 313034000 is 430313.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 147962896 + 165071104 = 12164^2 + 12848^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 561722 + ... + 562278.

Almost surely, 2^313034000 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 313034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380486808).

313034000 is an abundant number, since it is smaller than the sum of its proper divisors (447939616).

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

313034000 is a wasteful number, since it uses less digits than its factorization.

313034000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 313034000 is about 17692.7668836731. The cubic root of 313034000 is about 678.9907172569.

Adding to 313034000 its reverse (430313), we get a palindrome (313464313).

The spelling of 313034000 in words is "three hundred thirteen million, thirty-four thousand".