30288100 has 36 divisors (see below), whose sum is σ = 66228400. Its totient is φ = 12022560.

The previous prime is 30288061. The next prime is 30288113. The reversal of 30288100 is 188203.

It is a super-2 number, since 2×30288100² = 1834738003220000, which contains 22 as substring.

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, 12811 + ... + 14989.

Almost surely, 2^30288100 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 30288100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33114200).

30288100 is an abundant number, since it is smaller than the sum of its proper divisors (35940300).

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

30288100 is a wasteful number, since it uses less digits than its factorization.

30288100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2332 (or 2325 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 30288100 is about 5503.4625464338. The cubic root of 30288100 is about 311.7147431086.

The spelling of 30288100 in words is "thirty million, two hundred eighty-eight thousand, one hundred".