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34073201 is a prime number
BaseRepresentation
bin1000000111111…
…0101001110001
32101010002122102
42001332221301
532210320301
63214150145
7562421531
oct201765161
971102572
1034073201
1118262778
12b4b2355
13709cc76
14474d4c1
152ed0b6b
hex207ea71

34073201 has 2 divisors, whose sum is σ = 34073202. Its totient is φ = 34073200.

The previous prime is 34073191. The next prime is 34073233. The reversal of 34073201 is 10237043.

34073201 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., 20205025 + 13868176 = 4495^2 + 3724^2 .

It is a cyclic number.

It is not a de Polignac number, because 34073201 - 222 = 29878897 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (34073701) 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, 17036600 + 17036601.

It is an arithmetic number, because the mean of its divisors is an integer number (17036601).

Almost surely, 234073201 is an apocalyptic number.

It is an amenable number.

34073201 is a deficient number, since it is larger than the sum of its proper divisors (1).

34073201 is an equidigital number, since it uses as much as digits as its factorization.

34073201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 34073201 is about 5837.2254539293. The cubic root of 34073201 is about 324.1935064410.

The spelling of 34073201 in words is "thirty-four million, seventy-three thousand, two hundred one".