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34088141 is a prime number
BaseRepresentation
bin1000001000001…
…0010011001101
32101010212010202
42002002103031
532211310031
63214343245
7562513223
oct202022315
971125122
1034088141
1118272a1a
12b4bab25
1370a69c9
144754b13
152ed52cb
hex20824cd

34088141 has 2 divisors, whose sum is σ = 34088142. Its totient is φ = 34088140.

The previous prime is 34088107. The next prime is 34088143. The reversal of 34088141 is 14188043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31685641 + 2402500 = 5629^2 + 1550^2 .

It is an emirp because it is prime and its reverse (14188043) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34088141 - 218 = 33825997 is a prime.

Together with 34088143, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34088143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17044070 + 17044071.

It is an arithmetic number, because the mean of its divisors is an integer number (17044071).

Almost surely, 234088141 is an apocalyptic number.

It is an amenable number.

34088141 is a deficient number, since it is larger than the sum of its proper divisors (1).

34088141 is an equidigital number, since it uses as much as digits as its factorization.

34088141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 34088141 is about 5838.5050312559. The cubic root of 34088141 is about 324.2408823173.

The spelling of 34088141 in words is "thirty-four million, eighty-eight thousand, one hundred forty-one".