313451040 has 144 divisors (see below), whose sum is σ = 1148660352. Its totient is φ = 71640576.

The previous prime is 313451029. The next prime is 313451051. The reversal of 313451040 is 40154313.

It is an interprime number because it is at equal distance from previous prime (313451029) and next prime (313451051).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 313450998 and 313451016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16857 + ... + 30183.

It is an arithmetic number, because the mean of its divisors is an integer number (7976808).

Almost surely, 2^313451040 is an apocalyptic number.

313451040 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 313451040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574330176).

313451040 is an abundant number, since it is smaller than the sum of its proper divisors (835209312).

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

313451040 is a wasteful number, since it uses less digits than its factorization.

313451040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13359 (or 13344 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 313451040 is about 17704.5485680940. The cubic root of 313451040 is about 679.2921122407.

It can be divided in two parts, 31345 and 1040, that added together give a triangular number (32385 = T₂₅₄).

The spelling of 313451040 in words is "three hundred thirteen million, four hundred fifty-one thousand, forty".