309242208 has 96 divisors (see below), whose sum is σ = 894983040. Its totient is φ = 92712960.

The previous prime is 309242203. The next prime is 309242221. The reversal of 309242208 is 802242903.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (309242203) 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 15 ways as a sum of consecutive naturals, for example, 100923 + ... + 103941.

It is an arithmetic number, because the mean of its divisors is an integer number (9322740).

Almost surely, 2^309242208 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 309242208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447491520).

309242208 is an abundant number, since it is smaller than the sum of its proper divisors (585740832).

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

309242208 is a wasteful number, since it uses less digits than its factorization.

309242208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3140 (or 3132 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 309242208 is about 17585.2838475812. The cubic root of 309242208 is about 676.2380264222.

The spelling of 309242208 in words is "three hundred nine million, two hundred forty-two thousand, two hundred eight".