306563340 has 96 divisors (see below), whose sum is σ = 906909696. Its totient is φ = 77253120.

The previous prime is 306563339. The next prime is 306563357. The reversal of 306563340 is 43365603.

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 = 306563298 and 306563307.

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 31 ways as a sum of consecutive naturals, for example, 78064 + ... + 81896.

It is an arithmetic number, because the mean of its divisors is an integer number (9446976).

Almost surely, 2^306563340 is an apocalyptic number.

306563340 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 306563340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453454848).

306563340 is an abundant number, since it is smaller than the sum of its proper divisors (600346356).

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

306563340 is a wasteful number, since it uses less digits than its factorization.

306563340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3919 (or 3917 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 30.

The square root of 306563340 is about 17508.9502826412. The cubic root of 306563340 is about 674.2796815253.

The spelling of 306563340 in words is "three hundred six million, five hundred sixty-three thousand, three hundred forty".