30748320 has 144 divisors (see below), whose sum is σ = 106378272. Its totient is φ = 8087040.

The previous prime is 30748307. The next prime is 30748349. The reversal of 30748320 is 2384703.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 188559 + ... + 188721.

It is an arithmetic number, because the mean of its divisors is an integer number (738738).

Almost surely, 2^30748320 is an apocalyptic number.

30748320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30748320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53189136).

30748320 is an abundant number, since it is smaller than the sum of its proper divisors (75629952).

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

30748320 is a wasteful number, since it uses less digits than its factorization.

30748320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 30748320 is about 5545.1167706370. The cubic root of 30748320 is about 313.2856222309.

The spelling of 30748320 in words is "thirty million, seven hundred forty-eight thousand, three hundred twenty".