30024288 has 144 divisors (see below), whose sum is σ = 99773856. Its totient is φ = 8386560.

The previous prime is 30024271. The next prime is 30024289. The reversal of 30024288 is 88242003.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30024289) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106708 + ... + 106988.

It is an arithmetic number, because the mean of its divisors is an integer number (692874).

Almost surely, 2^30024288 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 30024288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49886928).

30024288 is an abundant number, since it is smaller than the sum of its proper divisors (69749568).

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

30024288 is a wasteful number, since it uses less digits than its factorization.

30024288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 30024288 is about 5479.4423073886. The cubic root of 30024288 is about 310.8070818241.

The spelling of 30024288 in words is "thirty million, twenty-four thousand, two hundred eighty-eight".