240901344 has 96 divisors (see below), whose sum is σ = 709712640. Its totient is φ = 79491456.

The previous prime is 240901337. The next prime is 240901421. The reversal of 240901344 is 443109042.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87639 + ... + 90345.

It is an arithmetic number, because the mean of its divisors is an integer number (7392840).

Almost surely, 2^240901344 is an apocalyptic number.

240901344 is a gapful number since it is divisible by the number (24) 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 240901344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354856320).

240901344 is an abundant number, since it is smaller than the sum of its proper divisors (468811296).

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

240901344 is a wasteful number, since it uses less digits than its factorization.

240901344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2829 (or 2815 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 240901344 is about 15520.9968752010. The cubic root of 240901344 is about 622.2234974653.

The spelling of 240901344 in words is "two hundred forty million, nine hundred one thousand, three hundred forty-four".