331004144 has 60 divisors (see below), whose sum is σ = 703754064. Its totient is φ = 150291456.

The previous prime is 331004137. The next prime is 331004159. The reversal of 331004144 is 441400133.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 228029 + ... + 229475.

Almost surely, 2^331004144 is an apocalyptic number.

331004144 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 331004144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351877032).

331004144 is an abundant number, since it is smaller than the sum of its proper divisors (372749920).

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

331004144 is a wasteful number, since it uses less digits than its factorization.

331004144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1530 (or 1495 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 331004144 is about 18193.5192857237. The cubic root of 331004144 is about 691.7425284254.

Adding to 331004144 its reverse (441400133), we get a palindrome (772404277).

The spelling of 331004144 in words is "three hundred thirty-one million, four thousand, one hundred forty-four".