311718540 has 192 divisors, whose sum is σ = 1059932160. Its totient is φ = 67034880.

The previous prime is 311718487. The next prime is 311718551. The reversal of 311718540 is 45817113.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 311718498 and 311718507.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5110110 + ... + 5110170.

It is an arithmetic number, because the mean of its divisors is an integer number (5520480).

Almost surely, 2^311718540 is an apocalyptic number.

311718540 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 311718540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529966080).

311718540 is an abundant number, since it is smaller than the sum of its proper divisors (748213620).

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

311718540 is a wasteful number, since it uses less digits than its factorization.

311718540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 311718540 is about 17655.5526676454. The cubic root of 311718540 is about 678.0382763086.

The spelling of 311718540 in words is "three hundred eleven million, seven hundred eighteen thousand, five hundred forty".