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667833345 = 32514840741
BaseRepresentation
bin100111110011100…
…101010000000001
31201112122110010100
4213303211100001
52331431131340
6150133553013
722356326664
oct4763452001
91645573110
10667833345
11312a7a093
121677a5769
13a848917a
14649a36db
153d96b830
hex27ce5401

667833345 has 12 divisors (see below), whose sum is σ = 1157577876. Its totient is φ = 356177760.

The previous prime is 667833329. The next prime is 667833377. The reversal of 667833345 is 543338766.

It can be written as a sum of positive squares in 2 ways, for example, as 397165041 + 270668304 = 19929^2 + 16452^2 .

It is not a de Polignac number, because 667833345 - 24 = 667833329 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 14840741 = 667833345 / (6 + 6 + 7 + 8 + 3 + 3 + 3 + 4 + 5).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 667833345.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7420326 + ... + 7420415.

It is an arithmetic number, because the mean of its divisors is an integer number (96464823).

Almost surely, 2667833345 is an apocalyptic number.

It is an amenable number.

667833345 is a deficient number, since it is larger than the sum of its proper divisors (489744531).

667833345 is a wasteful number, since it uses less digits than its factorization.

667833345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14840752 (or 14840749 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 45.

The square root of 667833345 is about 25842.4717277586. The cubic root of 667833345 is about 874.0897614593.

The spelling of 667833345 in words is "six hundred sixty-seven million, eight hundred thirty-three thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 45 14840741 44522223 74203705 133566669 222611115 667833345