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34206829 is a prime number
BaseRepresentation
bin1000001001111…
…1010001101101
32101100212221121
42002133101231
532224104304
63221100541
7563516236
oct202372155
971325847
1034206829
1118344108
12b557751
137118a37
14478608d
15300a554
hex209f46d

34206829 has 2 divisors, whose sum is σ = 34206830. Its totient is φ = 34206828.

The previous prime is 34206793. The next prime is 34206853. The reversal of 34206829 is 92860243.

34206829 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29484900 + 4721929 = 5430^2 + 2173^2 .

It is a cyclic number.

It is not a de Polignac number, because 34206829 - 27 = 34206701 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34206794 and 34206803.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34206229) 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, 17103414 + 17103415.

It is an arithmetic number, because the mean of its divisors is an integer number (17103415).

Almost surely, 234206829 is an apocalyptic number.

It is an amenable number.

34206829 is a deficient number, since it is larger than the sum of its proper divisors (1).

34206829 is an equidigital number, since it uses as much as digits as its factorization.

34206829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 34206829 is about 5848.6604449224. The cubic root of 34206829 is about 324.6167600956.

The spelling of 34206829 in words is "thirty-four million, two hundred six thousand, eight hundred twenty-nine".