313143840 has 192 divisors, whose sum is σ = 1104969600. Its totient is φ = 82824192.

The previous prime is 313143821. The next prime is 313143877. The reversal of 313143840 is 48341313.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 747151 + ... + 747569.

It is an arithmetic number, because the mean of its divisors is an integer number (5755050).

Almost surely, 2^313143840 is an apocalyptic number.

313143840 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 313143840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552484800).

313143840 is an abundant number, since it is smaller than the sum of its proper divisors (791825760).

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

313143840 is a wasteful number, since it uses less digits than its factorization.

313143840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 313143840 is about 17695.8707047718. The cubic root of 313143840 is about 679.0701246258.

It can be divided in two parts, 3131 and 43840, that added together give a triangular number (46971 = T₃₀₆).

The spelling of 313143840 in words is "three hundred thirteen million, one hundred forty-three thousand, eight hundred forty".