313045200 has 180 divisors, whose sum is σ = 1170094380. Its totient is φ = 77045760.

The previous prime is 313045199. The next prime is 313045211. The reversal of 313045200 is 2540313.

It can be written as a sum of positive squares in 6 ways, for example, as 7354944 + 305690256 = 2712^2 + 17484^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 43456 + ... + 50144.

Almost surely, 2^313045200 is an apocalyptic number.

313045200 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 313045200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585047190).

313045200 is an abundant number, since it is smaller than the sum of its proper divisors (857049180).

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

313045200 is a wasteful number, since it uses less digits than its factorization.

313045200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6726 (or 6712 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 313045200 is about 17693.0833943663. The cubic root of 313045200 is about 678.9988149985.

Adding to 313045200 its reverse (2540313), we get a palindrome (315585513).

The spelling of 313045200 in words is "three hundred thirteen million, forty-five thousand, two hundred".