313896240 has 240 divisors, whose sum is σ = 1225713216. Its totient is φ = 70502400.

The previous prime is 313896227. The next prime is 313896241. The reversal of 313896240 is 42698313.

313896240 is a `hidden beast` number, since 31 + 389 + 6 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×313896240² = 197061698972275200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 313896195 and 313896204.

It is not an unprimeable number, because it can be changed into a prime (313896241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 306930 + ... + 307950.

Almost surely, 2^313896240 is an apocalyptic number.

313896240 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 313896240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612856608).

313896240 is an abundant number, since it is smaller than the sum of its proper divisors (911816976).

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

313896240 is a wasteful number, since it uses less digits than its factorization.

313896240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 313896240 is about 17717.1171469853. The cubic root of 313896240 is about 679.6135635944.

The spelling of 313896240 in words is "three hundred thirteen million, eight hundred ninety-six thousand, two hundred forty".