313290000 has 225 divisors, whose sum is σ = 1114504963. Its totient is φ = 82128000.

The previous prime is 313289983. The next prime is 313290011. The reversal of 313290000 is 92313.

The square root of 313290000 is 17700.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 24561936 + 288728064 = 4956^2 + 16992^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5309971 + ... + 5310029.

Almost surely, 2^313290000 is an apocalyptic number.

313290000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

313290000 is the 17700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313290000

313290000 is an abundant number, since it is smaller than the sum of its proper divisors (801214963).

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

313290000 is an equidigital number, since it uses as much as digits as its factorization.

313290000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The cubic root of 313290000 is about 679.1757602673.

The spelling of 313290000 in words is "three hundred thirteen million, two hundred ninety thousand".