30946944 has 128 divisors (see below), whose sum is σ = 97430400. Its totient is φ = 8515584.

The previous prime is 30946939. The next prime is 30946957. The reversal of 30946944 is 44964903.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77754 + ... + 78150.

It is an arithmetic number, because the mean of its divisors is an integer number (761175).

Almost surely, 2^30946944 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 30946944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48715200).

30946944 is an abundant number, since it is smaller than the sum of its proper divisors (66483456).

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

30946944 is a wasteful number, since it uses less digits than its factorization.

30946944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 30946944 is about 5562.9977530105. The cubic root of 30946944 is about 313.9587488238.

The spelling of 30946944 in words is "thirty million, nine hundred forty-six thousand, nine hundred forty-four".