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34049993 is a prime number
BaseRepresentation
bin1000000111100…
…0111111001001
32101001220210212
42001320333021
532204044433
63213450505
7562264055
oct201707711
971056725
1034049993
111824729a
12b4a0a35
137092533
144744c65
152ec8d48
hex2078fc9

34049993 has 2 divisors, whose sum is σ = 34049994. Its totient is φ = 34049992.

The previous prime is 34049989. The next prime is 34050011. The reversal of 34049993 is 39994043.

It is a happy number.

34049993 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., 32126224 + 1923769 = 5668^2 + 1387^2 .

It is an emirp because it is prime and its reverse (39994043) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34049993 - 22 = 34049989 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34049993.

It is not a weakly prime, because it can be changed into another prime (34049923) 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, 17024996 + 17024997.

It is an arithmetic number, because the mean of its divisors is an integer number (17024997).

Almost surely, 234049993 is an apocalyptic number.

It is an amenable number.

34049993 is a deficient number, since it is larger than the sum of its proper divisors (1).

34049993 is an equidigital number, since it uses as much as digits as its factorization.

34049993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 104976, while the sum is 41.

The square root of 34049993 is about 5835.2371845539. The cubic root of 34049993 is about 324.1198846351.

The spelling of 34049993 in words is "thirty-four million, forty-nine thousand, nine hundred ninety-three".