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34048097 is a prime number
BaseRepresentation
bin1000000111100…
…0100001100001
32101001211012122
42001320201201
532204014342
63213434025
7562255406
oct201704141
971054178
1034048097
1118245926
12b49b915
137091705
1447442ad
152ec84d2
hex2078861

34048097 has 2 divisors, whose sum is σ = 34048098. Its totient is φ = 34048096.

The previous prime is 34048051. The next prime is 34048099. The reversal of 34048097 is 79084043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31854736 + 2193361 = 5644^2 + 1481^2 .

It is a cyclic number.

It is not a de Polignac number, because 34048097 - 26 = 34048033 is a prime.

Together with 34048099, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (34048099) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17024048 + 17024049.

It is an arithmetic number, because the mean of its divisors is an integer number (17024049).

Almost surely, 234048097 is an apocalyptic number.

It is an amenable number.

34048097 is a deficient number, since it is larger than the sum of its proper divisors (1).

34048097 is an equidigital number, since it uses as much as digits as its factorization.

34048097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 34048097 is about 5835.0747210297. The cubic root of 34048097 is about 324.1138685526.

The spelling of 34048097 in words is "thirty-four million, forty-eight thousand, ninety-seven".