313350000 has 120 divisors (see below), whose sum is σ = 1012278960. Its totient is φ = 83520000.

The previous prime is 313349969. The next prime is 313350013. The reversal of 313350000 is 53313.

It is a tau number, because it is divible by the number of its divisors (120).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148956 + ... + 151044.

It is an arithmetic number, because the mean of its divisors is an integer number (8435658).

Almost surely, 2^313350000 is an apocalyptic number.

313350000 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 313350000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506139480).

313350000 is an abundant number, since it is smaller than the sum of its proper divisors (698928960).

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

313350000 is an equidigital number, since it uses as much as digits as its factorization.

313350000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2125 (or 2099 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 15.

The square root of 313350000 is about 17701.6948341112. The cubic root of 313350000 is about 679.2191151403.

The spelling of 313350000 in words is "three hundred thirteen million, three hundred fifty thousand".