30302880 has 48 divisors (see below), whose sum is σ = 95455584. Its totient is φ = 8080640.

The previous prime is 30302873. The next prime is 30302927. The reversal of 30302880 is 8820303.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 30302880.

It is an unprimeable number.

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, 31086 + ... + 32045.

It is an arithmetic number, because the mean of its divisors is an integer number (1988658).

Almost surely, 2^30302880 is an apocalyptic number.

30302880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30302880 is an abundant number, since it is smaller than the sum of its proper divisors (65152704).

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

30302880 is a wasteful number, since it uses less digits than its factorization.

30302880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63149 (or 63141 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 30302880 is about 5504.8051736642. The cubic root of 30302880 is about 311.7654384280.

The spelling of 30302880 in words is "thirty million, three hundred two thousand, eight hundred eighty".