240384312 has 96 divisors (see below), whose sum is σ = 762259680. Its totient is φ = 67000320.

The previous prime is 240384311. The next prime is 240384329. The reversal of 240384312 is 213483042.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240384311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14848 + ... + 26480.

It is an arithmetic number, because the mean of its divisors is an integer number (7940205).

Almost surely, 2^240384312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240384312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381129840).

240384312 is an abundant number, since it is smaller than the sum of its proper divisors (521875368).

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

240384312 is a wasteful number, since it uses less digits than its factorization.

240384312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11693 (or 11686 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 240384312 is about 15504.3320397881. The cubic root of 240384312 is about 621.7780317212.

The spelling of 240384312 in words is "two hundred forty million, three hundred eighty-four thousand, three hundred twelve".