240199344 has 400 divisors, whose sum is σ = 907441920. Its totient is φ = 59512320.

The previous prime is 240199313. The next prime is 240199391. The reversal of 240199344 is 443991042.

240199344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 240199299 and 240199308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2893927 + ... + 2894009.

Almost surely, 2^240199344 is an apocalyptic number.

240199344 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 240199344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453720960).

240199344 is an abundant number, since it is smaller than the sum of its proper divisors (667242576).

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

240199344 is a wasteful number, since it uses less digits than its factorization.

240199344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 240199344 is about 15498.3658493404. The cubic root of 240199344 is about 621.6185113970.

The spelling of 240199344 in words is "two hundred forty million, one hundred ninety-nine thousand, three hundred forty-four".