30144384 has 96 divisors (see below), whose sum is σ = 87834240. Its totient is φ = 9922560.

The previous prime is 30144371. The next prime is 30144391. The reversal of 30144384 is 48344103.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 157729 + ... + 157919.

It is an arithmetic number, because the mean of its divisors is an integer number (914940).

Almost surely, 2^30144384 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 30144384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43917120).

30144384 is an abundant number, since it is smaller than the sum of its proper divisors (57689856).

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

30144384 is a wasteful number, since it uses less digits than its factorization.

30144384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 30144384 is about 5490.3901500713. The cubic root of 30144384 is about 311.2209359807.

Adding to 30144384 its reverse (48344103), we get a palindrome (78488487).

The spelling of 30144384 in words is "thirty million, one hundred forty-four thousand, three hundred eighty-four".