311431680 has 240 divisors, whose sum is σ = 1233296064. Its totient is φ = 71147520.

The previous prime is 311431649. The next prime is 311431693. The reversal of 311431680 is 86134113.

It is a tau number, because it is divible by the number of its divisors (240).

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, 160315 + ... + 162245.

Almost surely, 2^311431680 is an apocalyptic number.

311431680 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 311431680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616648032).

311431680 is an abundant number, since it is smaller than the sum of its proper divisors (921864384).

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

311431680 is a wasteful number, since it uses less digits than its factorization.

311431680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1967 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 311431680 is about 17647.4270079238. The cubic root of 311431680 is about 677.8302234990.

Adding to 311431680 its reverse (86134113), we get a palindrome (397565793).

It can be divided in two parts, 31143 and 1680, that added together give a palindrome (32823).

The spelling of 311431680 in words is "three hundred eleven million, four hundred thirty-one thousand, six hundred eighty".