304347906 has 48 divisors (see below), whose sum is σ = 700127064. Its totient is φ = 95219712.

The previous prime is 304347887. The next prime is 304347913. The reversal of 304347906 is 609743403.

304347906 is a `hidden beast` number, since 304 + 347 + 9 + 0 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 238980681 + 65367225 = 15459^2 + 8085^2 .

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, 131350 + ... + 133646.

Almost surely, 2^304347906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 304347906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350063532).

304347906 is an abundant number, since it is smaller than the sum of its proper divisors (395779158).

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

304347906 is a wasteful number, since it uses less digits than its factorization.

304347906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2755 (or 2752 counting only the distinct ones).

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

The square root of 304347906 is about 17445.5698101266. The cubic root of 304347906 is about 672.6514860759.

The spelling of 304347906 in words is "three hundred four million, three hundred forty-seven thousand, nine hundred six".