306972540 has 288 divisors, whose sum is σ = 1140572160. Its totient is φ = 65318400.

The previous prime is 306972529. The next prime is 306972551. The reversal of 306972540 is 45279603.

It is an interprime number because it is at equal distance from previous prime (306972529) and next prime (306972551).

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

It is a junction number, because it is equal to n+sod(n) for n = 306972495 and 306972504.

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 95 ways as a sum of consecutive naturals, for example, 1132605 + ... + 1132875.

It is an arithmetic number, because the mean of its divisors is an integer number (3960320).

Almost surely, 2^306972540 is an apocalyptic number.

306972540 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 306972540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570286080).

306972540 is an abundant number, since it is smaller than the sum of its proper divisors (833599620).

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

306972540 is a wasteful number, since it uses less digits than its factorization.

306972540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 306972540 is about 17520.6318379218. The cubic root of 306972540 is about 674.5795570996.

The spelling of 306972540 in words is "three hundred six million, nine hundred seventy-two thousand, five hundred forty".