30144300 has 72 divisors (see below), whose sum is σ = 88275600. Its totient is φ = 7941120.

The previous prime is 30144293. The next prime is 30144319. The reversal of 30144300 is 344103.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 30144300.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26136 + ... + 27264.

It is an arithmetic number, because the mean of its divisors is an integer number (1226050).

Almost surely, 2^30144300 is an apocalyptic number.

30144300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30144300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44137800).

30144300 is an abundant number, since it is smaller than the sum of its proper divisors (58131300).

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

30144300 is a wasteful number, since it uses less digits than its factorization.

30144300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1235 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 30144300 is about 5490.3825003364. The cubic root of 30144300 is about 311.2206468988.

Adding to 30144300 its reverse (344103), we get a palindrome (30488403).

The spelling of 30144300 in words is "thirty million, one hundred forty-four thousand, three hundred".