306473940 has 72 divisors (see below), whose sum is σ = 931513128. Its totient is φ = 81561600.

The previous prime is 306473927. The next prime is 306473963. The reversal of 306473940 is 49374603.

306473940 is a `hidden beast` number, since 3 + 0 + 647 + 3 + 9 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 59166864 + 247307076 = 7692^2 + 15726^2 .

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 = 306473895 and 306473904.

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 23 ways as a sum of consecutive naturals, for example, 106764 + ... + 109596.

Almost surely, 2^306473940 is an apocalyptic number.

306473940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

306473940 is an abundant number, since it is smaller than the sum of its proper divisors (625039188).

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

306473940 is a wasteful number, since it uses less digits than its factorization.

306473940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3449 (or 3444 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 306473940 is about 17506.3971164829. The cubic root of 306473940 is about 674.2141306735.

The spelling of 306473940 in words is "three hundred six million, four hundred seventy-three thousand, nine hundred forty".