3004144 has 60 divisors (see below), whose sum is σ = 6943752. Its totient is φ = 1248000.

The previous prime is 3004123. The next prime is 3004151. The reversal of 3004144 is 4414003.

3004144 = T₅₅ + T₅₆ + ... + T₂₆₂.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29694 + ... + 29794.

Almost surely, 2^3004144 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 3004144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3471876).

3004144 is an abundant number, since it is smaller than the sum of its proper divisors (3939608).

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

3004144 is a wasteful number, since it uses less digits than its factorization.

3004144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 3004144 is about 1733.2466644999. The cubic root of 3004144 is about 144.2913340574.

Adding to 3004144 its reverse (4414003), we get a palindrome (7418147).

It can be divided in two parts, 300 and 4144, that added together give a palindrome (4444).

The spelling of 3004144 in words is "three million, four thousand, one hundred forty-four".