306131840 has 128 divisors (see below), whose sum is σ = 873054720. Its totient is φ = 100362240.

The previous prime is 306131831. The next prime is 306131867. The reversal of 306131840 is 48131603.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101555 + ... + 104525.

It is an arithmetic number, because the mean of its divisors is an integer number (6820740).

Almost surely, 2^306131840 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 306131840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436527360).

306131840 is an abundant number, since it is smaller than the sum of its proper divisors (566922880).

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

306131840 is a wasteful number, since it uses less digits than its factorization.

306131840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3020 (or 3008 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 306131840 is about 17496.6236742979. The cubic root of 306131840 is about 673.9631745591.

The spelling of 306131840 in words is "three hundred six million, one hundred thirty-one thousand, eight hundred forty".