240340032 has 84 divisors (see below), whose sum is σ = 705762876. Its totient is φ = 78151680.

The previous prime is 240340027. The next prime is 240340043. The reversal of 240340032 is 230043042.

It can be written as a sum of positive squares in 2 ways, for example, as 72999936 + 167340096 = 8544^2 + 12936^2 .

It is a super-2 number, since 2×240340032² = 115526661963522048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 240339987 and 240340014.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 18528 + ... + 28704.

It is an arithmetic number, because the mean of its divisors is an integer number (8401939).

Almost surely, 2^240340032 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 240340032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352881438).

240340032 is an abundant number, since it is smaller than the sum of its proper divisors (465422844).

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

240340032 is a wasteful number, since it uses less digits than its factorization.

240340032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10236 (or 10223 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 240340032 is about 15502.9039860279. The cubic root of 240340032 is about 621.7398511626.

Adding to 240340032 its reverse (230043042), we get a palindrome (470383074).

The spelling of 240340032 in words is "two hundred forty million, three hundred forty thousand, thirty-two".