3003000 has 256 divisors, whose sum is σ = 12579840. Its totient is φ = 576000.

The previous prime is 3002981. The next prime is 3003017. The reversal of 3003000 is 3003.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3003000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 230994 + ... + 231006.

It is an arithmetic number, because the mean of its divisors is an integer number (49140).

Almost surely, 2^3003000 is an apocalyptic number.

3003000 is a gapful number since it is divisible by the number (30) 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 3003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6289920).

3003000 is an abundant number, since it is smaller than the sum of its proper divisors (9576840).

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

3003000 is a wasteful number, since it uses less digits than its factorization.

3003000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 6.

The square root of 3003000 is about 1732.9166165745. The cubic root of 3003000 is about 144.2730160003.

Adding to 3003000 its reverse (3003), we get a palindrome (3006003).

3003000 divided by its reverse (3003) gives a cube (1000 = 10³).

The spelling of 3003000 in words is "three million, three thousand".