316734440 has 96 divisors (see below), whose sum is σ = 808980480. Its totient is φ = 111408000.

The previous prime is 316734359. The next prime is 316734461. The reversal of 316734440 is 44437613.

316734440 = 104² + 105² + ... + 983².

It is a super-3 number, since 3×316734440³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 316734397 and 316734406.

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, 148985 + ... + 151095.

It is an arithmetic number, because the mean of its divisors is an integer number (8426880).

Almost surely, 2^316734440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 316734440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404490240).

316734440 is an abundant number, since it is smaller than the sum of its proper divisors (492246040).

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

316734440 is a wasteful number, since it uses less digits than its factorization.

316734440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2175 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 32.

The square root of 316734440 is about 17797.0345844469. The cubic root of 316734440 is about 681.6557402324.

The spelling of 316734440 in words is "three hundred sixteen million, seven hundred thirty-four thousand, four hundred forty".