313938240 has 448 divisors, whose sum is σ = 1292156928. Its totient is φ = 62668800.

The previous prime is 313938223. The next prime is 313938257. The reversal of 313938240 is 42839313.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (313938223) and next prime (313938257).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (33).

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 63 ways as a sum of consecutive naturals, for example, 2291452 + ... + 2291588.

Almost surely, 2^313938240 is an apocalyptic number.

313938240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

313938240 is the 10230-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313938240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646078464).

313938240 is an abundant number, since it is smaller than the sum of its proper divisors (978218688).

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

313938240 is a wasteful number, since it uses less digits than its factorization.

313938240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 313938240 is about 17718.3024017540. The cubic root of 313938240 is about 679.6438735005.

The spelling of 313938240 in words is "three hundred thirteen million, nine hundred thirty-eight thousand, two hundred forty".