30240288 has 144 divisors (see below), whose sum is σ = 95351256. Its totient is φ = 9031680.

The previous prime is 30240271. The next prime is 30240289. The reversal of 30240288 is 88204203.

It can be written as a sum of positive squares in 4 ways, for example, as 22014864 + 8225424 = 4692^2 + 2868^2 .

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

It is not an unprimeable number, because it can be changed into a prime (30240289) 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, 153406 + ... + 153602.

Almost surely, 2^30240288 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 30240288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47675628).

30240288 is an abundant number, since it is smaller than the sum of its proper divisors (65110968).

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

30240288 is a wasteful number, since it uses less digits than its factorization.

30240288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 256 counting only the distinct ones).

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

The square root of 30240288 is about 5499.1170200315. The cubic root of 30240288 is about 311.5506351544.

The spelling of 30240288 in words is "thirty million, two hundred forty thousand, two hundred eighty-eight".