240034320 has 80 divisors (see below), whose sum is σ = 826792320. Its totient is φ = 64008576.

The previous prime is 240034309. The next prime is 240034331. The reversal of 240034320 is 23430042.

It is an interprime number because it is at equal distance from previous prime (240034309) and next prime (240034331).

It is a tau number, because it is divible by the number of its divisors (80).

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

240034320 is a modest number, since divided by 34320 gives 240 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 240034293 and 240034302.

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 15 ways as a sum of consecutive naturals, for example, 53404 + ... + 57723.

It is an arithmetic number, because the mean of its divisors is an integer number (10334904).

Almost surely, 2^240034320 is an apocalyptic number.

240034320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240034320 is an abundant number, since it is smaller than the sum of its proper divisors (586758000).

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

240034320 is a wasteful number, since it uses less digits than its factorization.

240034320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111149 (or 111137 counting only the distinct ones).

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

The square root of 240034320 is about 15493.0410184702. The cubic root of 240034320 is about 621.4761220621.

Adding to 240034320 its reverse (23430042), we get a palindrome (263464362).

The spelling of 240034320 in words is "two hundred forty million, thirty-four thousand, three hundred twenty".