311430096 has 100 divisors (see below), whose sum is σ = 923511204. Its totient is φ = 101260800.

The previous prime is 311430059. The next prime is 311430127. The reversal of 311430096 is 690034113.

It can be written as a sum of positive squares in 2 ways, for example, as 66194496 + 245235600 = 8136^2 + 15660^2 .

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 19 ways as a sum of consecutive naturals, for example, 50206 + ... + 56066.

Almost surely, 2^311430096 is an apocalyptic number.

311430096 is a gapful number since it is divisible by the number (36) 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 311430096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461755602).

311430096 is an abundant number, since it is smaller than the sum of its proper divisors (612081108).

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

311430096 is a wasteful number, since it uses less digits than its factorization.

311430096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5922 (or 5907 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 311430096 is about 17647.3821288031. The cubic root of 311430096 is about 677.8290743065.

The spelling of 311430096 in words is "three hundred eleven million, four hundred thirty thousand, ninety-six".