30934368 has 72 divisors (see below), whose sum is σ = 90378288. Its totient is φ = 10029312.

The previous prime is 30934357. The next prime is 30934391. The reversal of 30934368 is 86343903.

30934368 is a `hidden beast` number, since 309 + 343 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9205 + ... + 12107.

It is an arithmetic number, because the mean of its divisors is an integer number (1255254).

Almost surely, 2^30934368 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 30934368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45189144).

30934368 is an abundant number, since it is smaller than the sum of its proper divisors (59443920).

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

30934368 is a wasteful number, since it uses less digits than its factorization.

30934368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2956 (or 2945 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 30934368 is about 5561.8673123332. The cubic root of 30934368 is about 313.9162149506.

The spelling of 30934368 in words is "thirty million, nine hundred thirty-four thousand, three hundred sixty-eight".