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34000061 is a prime number
BaseRepresentation
bin1000000110110…
…0110010111101
32100222101022112
42001230302331
532201000221
63212423405
7561665354
oct201546275
970871275
1034000061
1118212827
12b477b65
1370758a4
14473099b
152eb915b
hex206ccbd

34000061 has 2 divisors, whose sum is σ = 34000062. Its totient is φ = 34000060.

The previous prime is 34000019. The next prime is 34000067. The reversal of 34000061 is 16000043.

34000061 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., 26327161 + 7672900 = 5131^2 + 2770^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34000061 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34000067) 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, 17000030 + 17000031.

It is an arithmetic number, because the mean of its divisors is an integer number (17000031).

Almost surely, 234000061 is an apocalyptic number.

It is an amenable number.

34000061 is a deficient number, since it is larger than the sum of its proper divisors (1).

34000061 is an equidigital number, since it uses as much as digits as its factorization.

34000061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 34000061 is about 5830.9571255498. The cubic root of 34000061 is about 323.9613738691.

The spelling of 34000061 in words is "thirty-four million, sixty-one", and thus it is an aban number.