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34337041 is a prime number
BaseRepresentation
bin1000001011111…
…1000100010001
32101121111120021
42002333010101
532242241131
63223543441
7564600664
oct202770421
971544507
1034337041
1118422a22
12b5bab81
13716309b
1447bb6db
153033e11
hex20bf111

34337041 has 2 divisors, whose sum is σ = 34337042. Its totient is φ = 34337040.

The previous prime is 34337027. The next prime is 34337053. The reversal of 34337041 is 14073343.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27783441 + 6553600 = 5271^2 + 2560^2 .

It is an emirp because it is prime and its reverse (14073343) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34337041 - 29 = 34336529 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34336997 and 34337015.

It is not a weakly prime, because it can be changed into another prime (34337011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17168520 + 17168521.

It is an arithmetic number, because the mean of its divisors is an integer number (17168521).

Almost surely, 234337041 is an apocalyptic number.

It is an amenable number.

34337041 is a deficient number, since it is larger than the sum of its proper divisors (1).

34337041 is an equidigital number, since it uses as much as digits as its factorization.

34337041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 25.

The square root of 34337041 is about 5859.7816512222. The cubic root of 34337041 is about 325.0281348424.

The spelling of 34337041 in words is "thirty-four million, three hundred thirty-seven thousand, forty-one".