240340320 has 144 divisors (see below), whose sum is σ = 894780432. Its totient is φ = 58260480.

The previous prime is 240340283. The next prime is 240340327. The reversal of 240340320 is 23043042.

240340320 is a `hidden beast` number, since 2 + 4 + 0 + 340 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 240340293 and 240340302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240340327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8254 + ... + 23426.

It is an arithmetic number, because the mean of its divisors is an integer number (6213753).

Almost surely, 2^240340320 is an apocalyptic number.

240340320 is a gapful number since it is divisible by the number (20) 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 240340320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447390216).

240340320 is an abundant number, since it is smaller than the sum of its proper divisors (654440112).

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

240340320 is a wasteful number, since it uses less digits than its factorization.

240340320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15205 (or 15194 counting only the distinct ones).

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

The square root of 240340320 is about 15502.9132746075. The cubic root of 240340320 is about 621.7400995066.

Adding to 240340320 its reverse (23043042), we get a palindrome (263383362).

The spelling of 240340320 in words is "two hundred forty million, three hundred forty thousand, three hundred twenty".