30368320 has 56 divisors (see below), whose sum is σ = 74029824. Its totient is φ = 11859456.

The previous prime is 30368309. The next prime is 30368321. The reversal of 30368320 is 2386303.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (30368321) 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, 12657 + ... + 14863.

Almost surely, 2^30368320 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 30368320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37014912).

30368320 is an abundant number, since it is smaller than the sum of its proper divisors (43661504).

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

30368320 is a wasteful number, since it uses less digits than its factorization.

30368320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2267 (or 2257 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 30368320 is about 5510.7458660330. The cubic root of 30368320 is about 311.9896994189.

The spelling of 30368320 in words is "thirty million, three hundred sixty-eight thousand, three hundred twenty".