306406100 has 144 divisors (see below), whose sum is σ = 893026176. Its totient is φ = 88128000.

The previous prime is 306406099. The next prime is 306406123. The reversal of 306406100 is 1604603.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98570 + ... + 101630.

Almost surely, 2^306406100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 306406100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446513088).

306406100 is an abundant number, since it is smaller than the sum of its proper divisors (586620076).

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

306406100 is a wasteful number, since it uses less digits than its factorization.

306406100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3106 (or 3099 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 306406100 is about 17504.4594318134. The cubic root of 306406100 is about 674.1643797748.

The spelling of 306406100 in words is "three hundred six million, four hundred six thousand, one hundred".