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268047361 is a prime number
BaseRepresentation
bin11111111101000…
…01010000000001
3200200101012212001
433332201100001
51022110003421
642333104001
76433236121
oct1776412001
9620335761
10268047361
1112833aa4a
1275928001
13436c110a
1427856c81
15187eb691
hexffa1401

268047361 has 2 divisors, whose sum is σ = 268047362. Its totient is φ = 268047360.

The previous prime is 268047349. The next prime is 268047379. The reversal of 268047361 is 163740862.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 242736400 + 25310961 = 15580^2 + 5031^2 .

It is a cyclic number.

It is not a de Polignac number, because 268047361 - 217 = 267916289 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 268047361.

It is not a weakly prime, because it can be changed into another prime (268047301) by changing a digit.

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 as a sum of consecutive naturals, namely, 134023680 + 134023681.

It is an arithmetic number, because the mean of its divisors is an integer number (134023681).

Almost surely, 2268047361 is an apocalyptic number.

It is an amenable number.

268047361 is a deficient number, since it is larger than the sum of its proper divisors (1).

268047361 is an equidigital number, since it uses as much as digits as its factorization.

268047361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 268047361 is about 16372.1519966069. The cubic root of 268047361 is about 644.7685494507.

The spelling of 268047361 in words is "two hundred sixty-eight million, forty-seven thousand, three hundred sixty-one".