30000240 has 320 divisors, whose sum is σ = 117849600. Its totient is φ = 6967296.

The previous prime is 30000199. The next prime is 30000247. The reversal of 30000240 is 4200003.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30000247) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 697659 + ... + 697701.

It is an arithmetic number, because the mean of its divisors is an integer number (368280).

Almost surely, 2^30000240 is an apocalyptic number.

30000240 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 30000240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58924800).

30000240 is an abundant number, since it is smaller than the sum of its proper divisors (87849360).

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

30000240 is a wasteful number, since it uses less digits than its factorization.

30000240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 89 counting only the distinct ones).

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

The square root of 30000240 is about 5477.2474839101. The cubic root of 30000240 is about 310.7240791885.

Adding to 30000240 its reverse (4200003), we get a palindrome (34200243).

The spelling of 30000240 in words is "thirty million, two hundred forty", and thus it is an aban number.