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34066061 is a prime number
BaseRepresentation
bin1000000111110…
…0111010001101
32101002201211222
42001330322031
532210103221
63214053125
7562361651
oct201747215
971081758
1034066061
1118258377
12b4aa1a5
137099943
14474aa61
152ecd9ab
hex207ce8d

34066061 has 2 divisors, whose sum is σ = 34066062. Its totient is φ = 34066060.

The previous prime is 34066037. The next prime is 34066091. The reversal of 34066061 is 16066043.

34066061 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19096900 + 14969161 = 4370^2 + 3869^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34066061 is a prime.

It is a Chen prime.

It is equal to p2093156 and since 34066061 and 2093156 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34066061.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34066091) 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, 17033030 + 17033031.

It is an arithmetic number, because the mean of its divisors is an integer number (17033031).

Almost surely, 234066061 is an apocalyptic number.

It is an amenable number.

34066061 is a deficient number, since it is larger than the sum of its proper divisors (1).

34066061 is an equidigital number, since it uses as much as digits as its factorization.

34066061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 34066061 is about 5836.6138299531. The cubic root of 34066061 is about 324.1708600672.

The spelling of 34066061 in words is "thirty-four million, sixty-six thousand, sixty-one".