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3000003 = 31019901
BaseRepresentation
bin1011011100011011000011
312122102020020
423130123003
51232000003
6144144523
734333236
oct13343303
95572206
103000003
111769a46
121008143
13810666
1458141d
153e3d53
hex2dc6c3

3000003 has 8 divisors (see below), whose sum is σ = 4040016. Its totient is φ = 1980000.

The previous prime is 2999999. The next prime is 3000017.

It can be divided in two parts, 300000 and 3, that added together give a palindrome (300003).

3000003 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 3000003 - 22 = 2999999 is a prime.

3000003 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 2999955 and 3000000.

It is not an unprimeable number, because it can be changed into a prime (3000073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4648 + ... + 5253.

It is an arithmetic number, because the mean of its divisors is an integer number (505002).

Almost surely, 23000003 is an apocalyptic number.

3000003 is a deficient number, since it is larger than the sum of its proper divisors (1040013).

3000003 is a wasteful number, since it uses less digits than its factorization.

3000003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10005.

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

The square root of 3000003 is about 1732.0516735941. The cubic root of 3000003 is about 144.2250051057.

The spelling of 3000003 in words is "three million, three", and thus it is an aban number and an uban number.

Divisors: 1 3 101 303 9901 29703 1000001 3000003