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34846117 is a prime number
BaseRepresentation
bin1000010011101…
…1010110100101
32102120100212221
42010323112211
532410033432
63242512341
7602121115
oct204732645
972510787
1034846117
1118740449
12b8056b1
1372b0a07
1448b1045
1530d4b97
hex213b5a5

34846117 has 2 divisors, whose sum is σ = 34846118. Its totient is φ = 34846116.

The previous prime is 34846103. The next prime is 34846151. The reversal of 34846117 is 71164843.

It is a happy number.

34846117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (34846151) can be obtained adding 34846117 to its sum of digits (34).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21986721 + 12859396 = 4689^2 + 3586^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34846117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34846177) 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, 17423058 + 17423059.

It is an arithmetic number, because the mean of its divisors is an integer number (17423059).

Almost surely, 234846117 is an apocalyptic number.

It is an amenable number.

34846117 is a deficient number, since it is larger than the sum of its proper divisors (1).

34846117 is an equidigital number, since it uses as much as digits as its factorization.

34846117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 16128, while the sum is 34.

The square root of 34846117 is about 5903.0599692024. The cubic root of 34846117 is about 326.6265348219.

The spelling of 34846117 in words is "thirty-four million, eight hundred forty-six thousand, one hundred seventeen".