306354906 has 128 divisors (see below), whose sum is σ = 810028800. Its totient is φ = 84602880.

The previous prime is 306354901. The next prime is 306354907. The reversal of 306354906 is 609453603.

It is not an unprimeable number, because it can be changed into a prime (306354901) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 748830 + ... + 749238.

It is an arithmetic number, because the mean of its divisors is an integer number (6328350).

Almost surely, 2^306354906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 306354906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405014400).

306354906 is an abundant number, since it is smaller than the sum of its proper divisors (503673894).

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

306354906 is a wasteful number, since it uses less digits than its factorization.

306354906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 306354906 is about 17502.9970576470. The cubic root of 306354906 is about 674.1268314649.

The spelling of 306354906 in words is "three hundred six million, three hundred fifty-four thousand, nine hundred six".