306513840 has 80 divisors (see below), whose sum is σ = 968161248. Its totient is φ = 80191488.

The previous prime is 306513821. The next prime is 306513853. The reversal of 306513840 is 48315603.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×306513840² = 187901468223091200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 306513798 and 306513807.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 672 + ... + 24768.

Almost surely, 2^306513840 is an apocalyptic number.

306513840 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 306513840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484080624).

306513840 is an abundant number, since it is smaller than the sum of its proper divisors (661647408).

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

306513840 is a wasteful number, since it uses less digits than its factorization.

306513840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24166 (or 24160 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 306513840 is about 17507.5366628204. The cubic root of 306513840 is about 674.2433881655.

The spelling of 306513840 in words is "three hundred six million, five hundred thirteen thousand, eight hundred forty".