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34106617 is a prime number
BaseRepresentation
bin1000001000011…
…0110011111001
32101011210111001
42002012303321
532212402432
63215005001
7562621126
oct202066371
971153431
1034106617
1118285896
12b509761
1370b223c
14475b74d
152eda9e7
hex2086cf9

34106617 has 2 divisors, whose sum is σ = 34106618. Its totient is φ = 34106616.

The previous prime is 34106599. The next prime is 34106627. The reversal of 34106617 is 71660143.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29713401 + 4393216 = 5451^2 + 2096^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34106617 is a prime.

It is a super-2 number, since 2×341066172 = 2326522646369378, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (34106627) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17053308 + 17053309.

It is an arithmetic number, because the mean of its divisors is an integer number (17053309).

Almost surely, 234106617 is an apocalyptic number.

It is an amenable number.

34106617 is a deficient number, since it is larger than the sum of its proper divisors (1).

34106617 is an equidigital number, since it uses as much as digits as its factorization.

34106617 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 34106617 is about 5840.0870712687. The cubic root of 34106617 is about 324.2994519778.

The spelling of 34106617 in words is "thirty-four million, one hundred six thousand, six hundred seventeen".