30240000 has 360 divisors, whose sum is σ = 127709120. Its totient is φ = 6912000.

The previous prime is 30239999. The next prime is 30240013. The reversal of 30240000 is 4203.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4319997 + ... + 4320003.

Almost surely, 2^30240000 is an apocalyptic number.

30240000 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 30240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63854560).

30240000 is an abundant number, since it is smaller than the sum of its proper divisors (97469120).

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

30240000 is an frugal number, since it uses more digits than its factorization.

30240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 30240000 is about 5499.0908339470. The cubic root of 30240000 is about 311.5496461111.

Adding to 30240000 its reverse (4203), we get a palindrome (30244203).

The spelling of 30240000 in words is "thirty million, two hundred forty thousand".