3006441 has 6 divisors (see below), whose sum is σ = 4342650. Its totient is φ = 2004288.

The previous prime is 3006439. The next prime is 3006457. The reversal of 3006441 is 1446003.

It can be written as a sum of positive squares in only one way, i.e., 2822400 + 184041 = 1680^2 + 429^2 .

It is not a de Polignac number, because 3006441 - 2¹ = 3006439 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3006461) 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, 167016 + ... + 167033.

It is an arithmetic number, because the mean of its divisors is an integer number (723775).

Almost surely, 2^3006441 is an apocalyptic number.

It is an amenable number.

3006441 is a deficient number, since it is larger than the sum of its proper divisors (1336209).

3006441 is a wasteful number, since it uses less digits than its factorization.

3006441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334055 (or 334052 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3006441 is about 1733.9091671711. The cubic root of 3006441 is about 144.3281002440.

The spelling of 3006441 in words is "three million, six thousand, four hundred forty-one".