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34496029 is a prime number
BaseRepresentation
bin1000001110010…
…1111000011101
32101220120122201
42003211320131
532312333104
63231211501
7566132341
oct203457035
971816581
1034496029
1118521417
12b676b91
1371ba569
14481d621
1530660a4
hex20e5e1d

34496029 has 2 divisors, whose sum is σ = 34496030. Its totient is φ = 34496028.

The previous prime is 34496003. The next prime is 34496041. The reversal of 34496029 is 92069443.

34496029 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., 34222500 + 273529 = 5850^2 + 523^2 .

It is a cyclic number.

It is not a de Polignac number, because 34496029 - 25 = 34495997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34496069) 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, 17248014 + 17248015.

It is an arithmetic number, because the mean of its divisors is an integer number (17248015).

Almost surely, 234496029 is an apocalyptic number.

It is an amenable number.

34496029 is a deficient number, since it is larger than the sum of its proper divisors (1).

34496029 is an equidigital number, since it uses as much as digits as its factorization.

34496029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46656, while the sum is 37.

The square root of 34496029 is about 5873.3320185394. The cubic root of 34496029 is about 325.5290129975.

The spelling of 34496029 in words is "thirty-four million, four hundred ninety-six thousand, twenty-nine".