306977040 has 120 divisors (see below), whose sum is σ = 1069181568. Its totient is φ = 81855360.

The previous prime is 306977039. The next prime is 306977081. The reversal of 306977040 is 40779603.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 306976986 and 306977004.

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, 11545 + ... + 27335.

Almost surely, 2^306977040 is an apocalyptic number.

306977040 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 306977040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534590784).

306977040 is an abundant number, since it is smaller than the sum of its proper divisors (762204528).

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

306977040 is a wasteful number, since it uses less digits than its factorization.

306977040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15819 (or 15801 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 306977040 is about 17520.7602574774. The cubic root of 306977040 is about 674.5828533697.

The spelling of 306977040 in words is "three hundred six million, nine hundred seventy-seven thousand, forty".