3003040 has 36 divisors (see below), whose sum is σ = 7146846. Its totient is φ = 1192448.

The previous prime is 3003029. The next prime is 3003043. The reversal of 3003040 is 403003.

3003040 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 2598544 + 404496 = 1612^2 + 636^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (3003043) 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, 21852 + ... + 21988.

Almost surely, 2^3003040 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 3003040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3573423).

3003040 is an abundant number, since it is smaller than the sum of its proper divisors (4143806).

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

3003040 is an equidigital number, since it uses as much as digits as its factorization.

3003040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 3003040 is about 1732.9281577723. The cubic root of 3003040 is about 144.2736565703.

Multiplying 3003040 by its sum of digits (10), we get a square (30030400 = 5480²).

3003040 divided by its sum of digits (10) gives a square (300304 = 548²).

Adding to 3003040 its reverse (403003), we get a palindrome (3406043).

The spelling of 3003040 in words is "three million, three thousand, forty".