320243144 has 64 divisors (see below), whose sum is σ = 706890240. Its totient is φ = 134599680.

The previous prime is 320243141. The next prime is 320243149. The reversal of 320243144 is 441342023.

It is not an unprimeable number, because it can be changed into a prime (320243141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51887 + ... + 57729.

It is an arithmetic number, because the mean of its divisors is an integer number (11045160).

Almost surely, 2^320243144 is an apocalyptic number.

320243144 is a gapful number since it is divisible by the number (34) 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 320243144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353445120).

320243144 is an abundant number, since it is smaller than the sum of its proper divisors (386647096).

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

320243144 is a wasteful number, since it uses less digits than its factorization.

320243144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5910 (or 5906 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 320243144 is about 17895.3386109344. The cubic root of 320243144 is about 684.1635724756.

Adding to 320243144 its reverse (441342023), we get a palindrome (761585167).

The spelling of 320243144 in words is "three hundred twenty million, two hundred forty-three thousand, one hundred forty-four".