313295040 has 392 divisors, whose sum is σ = 1199327040. Its totient is φ = 77635584.

The previous prime is 313294991. The next prime is 313295069. The reversal of 313295040 is 40592313.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 313294995 and 313295013.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3965721 + ... + 3965799.

Almost surely, 2^313295040 is an apocalyptic number.

313295040 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 313295040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599663520).

313295040 is an abundant number, since it is smaller than the sum of its proper divisors (886032000).

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

313295040 is an equidigital number, since it uses as much as digits as its factorization.

313295040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 313295040 is about 17700.1423723088. The cubic root of 313295040 is about 679.1794022896.

The spelling of 313295040 in words is "three hundred thirteen million, two hundred ninety-five thousand, forty".