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3008213 = 13192641
BaseRepresentation
bin1011011110011011010101
312122211111022
423132123111
51232230323
6144250525
734366205
oct13363325
95584438
103008213
11177512a
121010a45
13814310
14584405
153e64c8
hex2de6d5

3008213 has 12 divisors (see below), whose sum is σ = 3424428. Its totient is φ = 2626560.

The previous prime is 3008207. The next prime is 3008219. The reversal of 3008213 is 3128003.

It is an interprime number because it is at equal distance from previous prime (3008207) and next prime (3008219).

It can be written as a sum of positive squares in 2 ways, for example, as 1620529 + 1387684 = 1273^2 + 1178^2 .

It is not a de Polignac number, because 3008213 - 24 = 3008197 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3008191 and 3008200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3008219) 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, 4373 + ... + 5013.

It is an arithmetic number, because the mean of its divisors is an integer number (285369).

Almost surely, 23008213 is an apocalyptic number.

It is an amenable number.

3008213 is a deficient number, since it is larger than the sum of its proper divisors (416215).

3008213 is a wasteful number, since it uses less digits than its factorization.

3008213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 3008213 is about 1734.4200759908. The cubic root of 3008213 is about 144.3564503944.

The spelling of 3008213 in words is "three million, eight thousand, two hundred thirteen".

Divisors: 1 13 19 247 361 641 4693 8333 12179 158327 231401 3008213