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264353 is a prime number
BaseRepresentation
bin1000000100010100001
3111102121212
41000202201
531424403
65355505
72150465
oct1004241
9442555
10264353
11170681
12108b95
139342b
146c4a5
15534d8
hex408a1

264353 has 2 divisors, whose sum is σ = 264354. Its totient is φ = 264352.

The previous prime is 264349. The next prime is 264359. The reversal of 264353 is 353462.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 262144 + 2209 = 512^2 + 47^2 .

It is a cyclic number.

It is not a de Polignac number, because 264353 - 22 = 264349 is a prime.

It is a Sophie Germain prime.

It is a d-powerful number, because it can be written as 23 + 6 + 3 + 49 + 5 + 37 .

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (264359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 132176 + 132177.

It is an arithmetic number, because the mean of its divisors is an integer number (132177).

2264353 is an apocalyptic number.

It is an amenable number.

264353 is a deficient number, since it is larger than the sum of its proper divisors (1).

264353 is an equidigital number, since it uses as much as digits as its factorization.

264353 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2160, while the sum is 23.

The square root of 264353 is about 514.1527010529. The cubic root of 264353 is about 64.1792662801.

The spelling of 264353 in words is "two hundred sixty-four thousand, three hundred fifty-three".