30018144 has 96 divisors (see below), whose sum is σ = 86365440. Its totient is φ = 9073152.

The previous prime is 30018127. The next prime is 30018167. The reversal of 30018144 is 44181003.

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

It is a self number, because there is not a number n which added to its sum of digits gives 30018144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83437 + ... + 83795.

It is an arithmetic number, because the mean of its divisors is an integer number (899640).

Almost surely, 2^30018144 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 30018144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43182720).

30018144 is an abundant number, since it is smaller than the sum of its proper divisors (56347296).

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

30018144 is a wasteful number, since it uses less digits than its factorization.

30018144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 30018144 is about 5478.8816377067. The cubic root of 30018144 is about 310.7858797784.

Adding to 30018144 its reverse (44181003), we get a palindrome (74199147).

The spelling of 30018144 in words is "thirty million, eighteen thousand, one hundred forty-four".