319983144 has 64 divisors (see below), whose sum is σ = 879863040. Its totient is φ = 96357120.

The previous prime is 319983127. The next prime is 319983173. The reversal of 319983144 is 441389913.

319983144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 319983096 and 319983105.

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, 3754 + ... + 25574.

It is an arithmetic number, because the mean of its divisors is an integer number (13747860).

Almost surely, 2^319983144 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 319983144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439931520).

319983144 is an abundant number, since it is smaller than the sum of its proper divisors (559879896).

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

319983144 is a wasteful number, since it uses less digits than its factorization.

319983144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21890 (or 21886 counting only the distinct ones).

The product of its digits is 93312, while the sum is 42.

The square root of 319983144 is about 17888.0726742710. The cubic root of 319983144 is about 683.9783687287.

The spelling of 319983144 in words is "three hundred nineteen million, nine hundred eighty-three thousand, one hundred forty-four".