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34113041 is a prime number
BaseRepresentation
bin1000001000100…
…0011000010001
32101012010021222
42002020120101
532213104131
63215054425
7562645634
oct202103021
971163258
1034113041
111828a6a6
12b511415
1370b5141
14475dc1b
152edc87b
hex2088611

34113041 has 2 divisors, whose sum is σ = 34113042. Its totient is φ = 34113040.

The previous prime is 34113031. The next prime is 34113043. The reversal of 34113041 is 14031143.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21715600 + 12397441 = 4660^2 + 3521^2 .

It is a cyclic number.

It is not a de Polignac number, because 34113041 - 26 = 34112977 is a prime.

Together with 34113043, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (34113043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17056520 + 17056521.

It is an arithmetic number, because the mean of its divisors is an integer number (17056521).

Almost surely, 234113041 is an apocalyptic number.

It is an amenable number.

34113041 is a deficient number, since it is larger than the sum of its proper divisors (1).

34113041 is an equidigital number, since it uses as much as digits as its factorization.

34113041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 34113041 is about 5840.6370371733. The cubic root of 34113041 is about 324.3198113594.

Adding to 34113041 its reverse (14031143), we get a palindrome (48144184).

The spelling of 34113041 in words is "thirty-four million, one hundred thirteen thousand, forty-one".