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34106873 is a prime number
BaseRepresentation
bin1000001000011…
…0110111111001
32101011210211112
42002012313321
532212404443
63215010105
7562621643
oct202066771
971153745
1034106873
1118285aa9
12b509935
1370b23a8
14475b893
152edab18
hex2086df9

34106873 has 2 divisors, whose sum is σ = 34106874. Its totient is φ = 34106872.

The previous prime is 34106867. The next prime is 34106887. The reversal of 34106873 is 37860143.

34106873 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 28015849 + 6091024 = 5293^2 + 2468^2 .

It is an emirp because it is prime and its reverse (37860143) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34106873 - 24 = 34106857 is a prime.

It is not a weakly prime, because it can be changed into another prime (34106173) 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, 17053436 + 17053437.

It is an arithmetic number, because the mean of its divisors is an integer number (17053437).

Almost surely, 234106873 is an apocalyptic number.

It is an amenable number.

34106873 is a deficient number, since it is larger than the sum of its proper divisors (1).

34106873 is an equidigital number, since it uses as much as digits as its factorization.

34106873 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 34106873 is about 5840.1089887090. The cubic root of 34106873 is about 324.3002633595.

The spelling of 34106873 in words is "thirty-four million, one hundred six thousand, eight hundred seventy-three".