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34135853 is a prime number
BaseRepresentation
bin1000001000110…
…1111100101101
32101020021120212
42002031330231
532214321403
63215352205
7563102303
oct202157455
971207525
1034135853
11182a5854
12b522665
1370c263b
144768273
152ee44d8
hex208df2d

34135853 has 2 divisors, whose sum is σ = 34135854. Its totient is φ = 34135852.

The previous prime is 34135823. The next prime is 34135873. The reversal of 34135853 is 35853143.

34135853 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., 34128964 + 6889 = 5842^2 + 83^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34135853 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34135823) 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, 17067926 + 17067927.

It is an arithmetic number, because the mean of its divisors is an integer number (17067927).

Almost surely, 234135853 is an apocalyptic number.

It is an amenable number.

34135853 is a deficient number, since it is larger than the sum of its proper divisors (1).

34135853 is an equidigital number, since it uses as much as digits as its factorization.

34135853 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 21600, while the sum is 32.

The square root of 34135853 is about 5842.5895799722. The cubic root of 34135853 is about 324.3920880684.

Adding to 34135853 its reverse (35853143), we get a palindrome (69988996).

The spelling of 34135853 in words is "thirty-four million, one hundred thirty-five thousand, eight hundred fifty-three".