320024340 has 72 divisors (see below), whose sum is σ = 980801640. Its totient is φ = 84455424.

The previous prime is 320024329. The next prime is 320024347. The reversal of 320024340 is 43420023.

320024340 is a `hidden beast` number, since 320 + 0 + 2 + 4 + 340 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 26998416 + 293025924 = 5196^2 + 17118^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320024347) 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, 8296 + ... + 26624.

It is an arithmetic number, because the mean of its divisors is an integer number (13622245).

Almost surely, 2^320024340 is an apocalyptic number.

320024340 is a gapful number since it is divisible by the number (30) 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 320024340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490400820).

320024340 is an abundant number, since it is smaller than the sum of its proper divisors (660777300).

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

320024340 is a wasteful number, since it uses less digits than its factorization.

320024340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18441 (or 18436 counting only the distinct ones).

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

The square root of 320024340 is about 17889.2241307442. The cubic root of 320024340 is about 684.0077202371.

Adding to 320024340 its reverse (43420023), we get a palindrome (363444363).

The spelling of 320024340 in words is "three hundred twenty million, twenty-four thousand, three hundred forty".