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34135873 is a prime number
BaseRepresentation
bin1000001000110…
…1111101000001
32101020021121121
42002031331001
532214321443
63215352241
7563102332
oct202157501
971207547
1034135873
11182a5872
12b522681
1370c2655
144768289
152ee44ed
hex208df41

34135873 has 2 divisors, whose sum is σ = 34135874. Its totient is φ = 34135872.

The previous prime is 34135853. The next prime is 34135883. The reversal of 34135873 is 37853143.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19642624 + 14493249 = 4432^2 + 3807^2 .

It is an emirp because it is prime and its reverse (37853143) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34135873 is a prime.

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 (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17067936 + 17067937.

It is an arithmetic number, because the mean of its divisors is an integer number (17067937).

Almost surely, 234135873 is an apocalyptic number.

It is an amenable number.

34135873 is a deficient number, since it is larger than the sum of its proper divisors (1).

34135873 is an equidigital number, since it uses as much as digits as its factorization.

34135873 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 30240, while the sum is 34.

The square root of 34135873 is about 5842.5912915418. The cubic root of 34135873 is about 324.3921514215.

The spelling of 34135873 in words is "thirty-four million, one hundred thirty-five thousand, eight hundred seventy-three".