30258240 has 112 divisors (see below), whose sum is σ = 98438208. Its totient is φ = 7870464.

The previous prime is 30258233. The next prime is 30258247. The reversal of 30258240 is 4285203.

It is an interprime number because it is at equal distance from previous prime (30258233) and next prime (30258247).

It is a super-2 number, since 2×30258240² = 1831122175795200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 30258240.

It is not an unprimeable number, because it can be changed into a prime (30258247) 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 15 ways as a sum of consecutive naturals, for example, 40914 + ... + 41646.

Almost surely, 2^30258240 is an apocalyptic number.

30258240 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 30258240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49219104).

30258240 is an abundant number, since it is smaller than the sum of its proper divisors (68179968).

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

30258240 is a wasteful number, since it uses less digits than its factorization.

30258240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 30258240 is about 5500.7490399036. The cubic root of 30258240 is about 311.6122731325.

The spelling of 30258240 in words is "thirty million, two hundred fifty-eight thousand, two hundred forty".