306436144 has 40 divisors (see below), whose sum is σ = 681805568. Its totient is φ = 130697280.

The previous prime is 306436129. The next prime is 306436157. The reversal of 306436144 is 441634603.

It is a happy number.

It is a super-2 number, since 2×306436144² = 187806220699177472, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 17149 + ... + 30115.

Almost surely, 2^306436144 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 306436144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340902784).

306436144 is an abundant number, since it is smaller than the sum of its proper divisors (375369424).

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

306436144 is a wasteful number, since it uses less digits than its factorization.

306436144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13193 (or 13187 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

The square root of 306436144 is about 17505.3175920918. The cubic root of 306436144 is about 674.1864136406.

The spelling of 306436144 in words is "three hundred six million, four hundred thirty-six thousand, one hundred forty-four".