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286680353 is a prime number
BaseRepresentation
bin10001000101100…
…110010100100001
3201222102212111212
4101011212110201
51041342232403
644240315505
710050512531
oct2105462441
9658385455
10286680353
11137907213
1280012b95
134751625b
142a1074c1
151a27c4d8
hex11166521

286680353 has 2 divisors, whose sum is σ = 286680354. Its totient is φ = 286680352.

The previous prime is 286680311. The next prime is 286680391. The reversal of 286680353 is 353086682.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 148547344 + 138133009 = 12188^2 + 11753^2 .

It is a cyclic number.

It is not a de Polignac number, because 286680353 - 214 = 286663969 is a prime.

It is a Sophie Germain prime.

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 286680353.

It is not a weakly prime, because it can be changed into another prime (286680853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 143340176 + 143340177.

It is an arithmetic number, because the mean of its divisors is an integer number (143340177).

Almost surely, 2286680353 is an apocalyptic number.

It is an amenable number.

286680353 is a deficient number, since it is larger than the sum of its proper divisors (1).

286680353 is an equidigital number, since it uses as much as digits as its factorization.

286680353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 207360, while the sum is 41.

The square root of 286680353 is about 16931.6376349129. The cubic root of 286680353 is about 659.3752528559.

The spelling of 286680353 in words is "two hundred eighty-six million, six hundred eighty thousand, three hundred fifty-three".