320030144 has 56 divisors (see below), whose sum is σ = 741273600. Its totient is φ = 134228736.

The previous prime is 320030111. The next prime is 320030149. The reversal of 320030144 is 441030023.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320030149) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 13457 + ... + 28655.

Almost surely, 2^320030144 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 320030144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370636800).

320030144 is an abundant number, since it is smaller than the sum of its proper divisors (421243456).

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

320030144 is a wasteful number, since it uses less digits than its factorization.

320030144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15265 (or 15255 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 320030144 is about 17889.3863505711. The cubic root of 320030144 is about 684.0118552942.

Adding to 320030144 its reverse (441030023), we get a palindrome (761060167).

The spelling of 320030144 in words is "three hundred twenty million, thirty thousand, one hundred forty-four".