3002004 has 18 divisors (see below), whose sum is σ = 7588490. Its totient is φ = 1000656.

The previous prime is 3002003. The next prime is 3002039. The reversal of 3002004 is 4002003.

It can be written as a sum of positive squares in only one way, i.e., 2566404 + 435600 = 1602^2 + 660^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3002003) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 41659 + ... + 41730.

Almost surely, 2^3002004 is an apocalyptic number.

It is an amenable number.

3002004 is an abundant number, since it is smaller than the sum of its proper divisors (4586486).

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

3002004 is a wasteful number, since it uses less digits than its factorization.

3002004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83399 (or 83394 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 3002004 is about 1732.6292159605. The cubic root of 3002004 is about 144.2570639731.

Adding to 3002004 its reverse (4002003), we get a palindrome (7004007).

Subtracting 3002004 from its reverse (4002003), we obtain a palindrome (999999).

It can be divided in two parts, 300 and 2004, that added together give a square (2304 = 48²).

The spelling of 3002004 in words is "three million, two thousand, four".