306252240 has 160 divisors (see below), whose sum is σ = 1090096896. Its totient is φ = 69672960.

The previous prime is 306252227. The next prime is 306252277. The reversal of 306252240 is 42252603.

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 306252240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 707064 + ... + 707496.

Almost surely, 2^306252240 is an apocalyptic number.

306252240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

306252240 is the 10104-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 306252240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545048448).

306252240 is an abundant number, since it is smaller than the sum of its proper divisors (783844656).

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

306252240 is a wasteful number, since it uses less digits than its factorization.

306252240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 306252240 is about 17500.0639998830. The cubic root of 306252240 is about 674.0515183377.

The spelling of 306252240 in words is "three hundred six million, two hundred fifty-two thousand, two hundred forty".