309974016 has 88 divisors (see below), whose sum is σ = 901400544. Its totient is φ = 93921280.

The previous prime is 309974009. The next prime is 309974017. The reversal of 309974016 is 610479903.

309974016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (88).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (309974017) by changing a digit.

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, 29206 + ... + 38378.

It is an arithmetic number, because the mean of its divisors is an integer number (10243188).

Almost surely, 2^309974016 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 309974016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450700272).

309974016 is an abundant number, since it is smaller than the sum of its proper divisors (591426528).

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

309974016 is a wasteful number, since it uses less digits than its factorization.

309974016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9207 (or 9189 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 309974016 is about 17606.0789501808. The cubic root of 309974016 is about 676.7710353168.

The spelling of 309974016 in words is "three hundred nine million, nine hundred seventy-four thousand, sixteen".