306108972 has 72 divisors (see below), whose sum is σ = 835458624. Its totient is φ = 93943296.

The previous prime is 306108967. The next prime is 306108991. The reversal of 306108972 is 279801603.

306108972 is a `hidden beast` number, since 30 + 610 + 8 + 9 + 7 + 2 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 276973 + ... + 278075.

It is an arithmetic number, because the mean of its divisors is an integer number (11603592).

Almost surely, 2^306108972 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 306108972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417729312).

306108972 is an abundant number, since it is smaller than the sum of its proper divisors (529349652).

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

306108972 is a wasteful number, since it uses less digits than its factorization.

306108972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1719 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 306108972 is about 17495.9701645836. The cubic root of 306108972 is about 673.9463924937.

It can be divided in two parts, 306 and 108972, that added together give a triangular number (109278 = T₄₆₇).

The spelling of 306108972 in words is "three hundred six million, one hundred eight thousand, nine hundred seventy-two".