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34274610241 is a prime number
BaseRepresentation
bin11111111010111011…
…010000110001000001
310021110122201121020221
4133322323100301001
51030143300011431
623425011503041
72322233244244
oct377273206101
9107418647227
1034274610241
111359913aa73
1267865b7a81
133302b64b81
14193204325b
15d59045111
hex7faed0c41

34274610241 has 2 divisors, whose sum is σ = 34274610242. Its totient is φ = 34274610240.

The previous prime is 34274610239. The next prime is 34274610287. The reversal of 34274610241 is 14201647243.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17561550400 + 16713059841 = 132520^2 + 129279^2 .

It is a cyclic number.

It is not a de Polignac number, because 34274610241 - 21 = 34274610239 is a prime.

Together with 34274610239, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 34274610197 and 34274610206.

It is not a weakly prime, because it can be changed into another prime (34274610641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17137305120 + 17137305121.

It is an arithmetic number, because the mean of its divisors is an integer number (17137305121).

Almost surely, 234274610241 is an apocalyptic number.

It is an amenable number.

34274610241 is a deficient number, since it is larger than the sum of its proper divisors (1).

34274610241 is an equidigital number, since it uses as much as digits as its factorization.

34274610241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32256, while the sum is 34.

The spelling of 34274610241 in words is "thirty-four billion, two hundred seventy-four million, six hundred ten thousand, two hundred forty-one".