30002004 has 18 divisors (see below), whose sum is σ = 75838490. Its totient is φ = 10000656.

The previous prime is 30001999. The next prime is 30002009. The reversal of 30002004 is 40020003.

It is an interprime number because it is at equal distance from previous prime (30001999) and next prime (30002009).

It can be written as a sum of positive squares in only one way, i.e., 26010000 + 3992004 = 5100^2 + 1998^2 .

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 (30002009) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 416659 + ... + 416730.

Almost surely, 2^30002004 is an apocalyptic number.

It is an amenable number.

30002004 is an abundant number, since it is smaller than the sum of its proper divisors (45836486).

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

30002004 is a wasteful number, since it uses less digits than its factorization.

30002004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833399 (or 833394 counting only the distinct ones).

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

The square root of 30002004 is about 5477.4085113309. The cubic root of 30002004 is about 310.7301692124.

Adding to 30002004 its reverse (40020003), we get a palindrome (70022007).

The spelling of 30002004 in words is "thirty million, two thousand, four", and thus it is an eban number.