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34073141 is a prime number
BaseRepresentation
bin1000000111111…
…0101000110101
32101010002120012
42001332220311
532210320031
63214150005
7562421414
oct201765065
971102505
1034073141
1118262723
12b4b2305
13709cc2b
14474d47b
152ed0b2b
hex207ea35

34073141 has 2 divisors, whose sum is σ = 34073142. Its totient is φ = 34073140.

The previous prime is 34073131. The next prime is 34073147. The reversal of 34073141 is 14137043.

34073141 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., 21893041 + 12180100 = 4679^2 + 3490^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34073141 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34073147) 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, 17036570 + 17036571.

It is an arithmetic number, because the mean of its divisors is an integer number (17036571).

Almost surely, 234073141 is an apocalyptic number.

It is an amenable number.

34073141 is a deficient number, since it is larger than the sum of its proper divisors (1).

34073141 is an equidigital number, since it uses as much as digits as its factorization.

34073141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 34073141 is about 5837.2203144990. The cubic root of 34073141 is about 324.1933161486.

The spelling of 34073141 in words is "thirty-four million, seventy-three thousand, one hundred forty-one".