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34092829 is a prime number
BaseRepresentation
bin1000001000001…
…1011100011101
32101011002120101
42002003130131
532211432304
63214421101
7562533001
oct202033435
971132511
1034092829
11182764a1
12b501791
1370a8b94
144756701
152ed68a4
hex208371d

34092829 has 2 divisors, whose sum is σ = 34092830. Its totient is φ = 34092828.

The previous prime is 34092827. The next prime is 34092847. The reversal of 34092829 is 92829043.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32467204 + 1625625 = 5698^2 + 1275^2 .

It is a cyclic number.

It is not a de Polignac number, because 34092829 - 21 = 34092827 is a prime.

Together with 34092827, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34092827) 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, 17046414 + 17046415.

It is an arithmetic number, because the mean of its divisors is an integer number (17046415).

Almost surely, 234092829 is an apocalyptic number.

It is an amenable number.

34092829 is a deficient number, since it is larger than the sum of its proper divisors (1).

34092829 is an equidigital number, since it uses as much as digits as its factorization.

34092829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 34092829 is about 5838.9064900887. The cubic root of 34092829 is about 324.2557454685.

The spelling of 34092829 in words is "thirty-four million, ninety-two thousand, eight hundred twenty-nine".