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3000257 = 13241433
BaseRepresentation
bin1011011100011111000001
312122102120122
423130133001
51232002012
6144150025
734334051
oct13343701
95572518
103000257
11176a157
121008315
13810800
14581561
153e3e72
hex2dc7c1

3000257 has 12 divisors (see below), whose sum is σ = 3335724. Its totient is φ = 2695680.

The previous prime is 3000251. The next prime is 3000289. The reversal of 3000257 is 7520003.

It can be written as a sum of positive squares in 6 ways, for example, as 1825201 + 1175056 = 1351^2 + 1084^2 .

It is not a de Polignac number, because 3000257 - 210 = 2999233 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3000251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6713 + ... + 7145.

It is an arithmetic number, because the mean of its divisors is an integer number (277977).

Almost surely, 23000257 is an apocalyptic number.

It is an amenable number.

3000257 is a deficient number, since it is larger than the sum of its proper divisors (335467).

3000257 is a wasteful number, since it uses less digits than its factorization.

3000257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 17.

The square root of 3000257 is about 1732.1249954896. The cubic root of 3000257 is about 144.2290753369.

The spelling of 3000257 in words is "three million, two hundred fifty-seven", and thus it is an aban number.

Divisors: 1 13 41 169 433 533 5629 6929 17753 73177 230789 3000257