30368000 has 144 divisors (see below), whose sum is σ = 82585776. Its totient is φ = 11059200.

The previous prime is 30367913. The next prime is 30368011. The reversal of 30368000 is 86303.

It can be written as a sum of positive squares in 8 ways, for example, as 14622976 + 15745024 = 3824^2 + 3968^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 415964 + ... + 416036.

Almost surely, 2^30368000 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 30368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41292888).

30368000 is an abundant number, since it is smaller than the sum of its proper divisors (52217776).

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

30368000 is an equidigital number, since it uses as much as digits as its factorization.

30368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 30368000 is about 5510.7168317742. The cubic root of 30368000 is about 311.9886035723.

The spelling of 30368000 in words is "thirty million, three hundred sixty-eight thousand".