319482144 has 180 divisors, whose sum is σ = 986431446. Its totient is φ = 101426688.

The previous prime is 319482113. The next prime is 319482203. The reversal of 319482144 is 441284913.

It is a happy number.

319482144 is a `hidden beast` number, since 31 + 9 + 482 + 144 = 666.

It can be written as a sum of positive squares in only one way, i.e., 302342544 + 17139600 = 17388^2 + 4140^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 319482099 and 319482108.

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 29 ways as a sum of consecutive naturals, for example, 1371052 + ... + 1371284.

Almost surely, 2^319482144 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 319482144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493215723).

319482144 is an abundant number, since it is smaller than the sum of its proper divisors (666949302).

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

319482144 is a wasteful number, since it uses less digits than its factorization.

319482144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 261 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 319482144 is about 17874.0634439962. The cubic root of 319482144 is about 683.6212122484.

The spelling of 319482144 in words is "three hundred nineteen million, four hundred eighty-two thousand, one hundred forty-four".