Search a number
-
+
34011041 is a prime number
BaseRepresentation
bin1000000110111…
…1011110100001
32100222221101012
42001233132201
532201323131
63212550305
7562042361
oct201573641
970887335
1034011041
111821aaa9
12b482395
13707a89c
1447349a1
152ebc52b
hex206f7a1

34011041 has 2 divisors, whose sum is σ = 34011042. Its totient is φ = 34011040.

The previous prime is 34011037. The next prime is 34011071. The reversal of 34011041 is 14011043.

It is a happy number.

34011041 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., 21022225 + 12988816 = 4585^2 + 3604^2 .

It is a cyclic number.

It is not a de Polignac number, because 34011041 - 22 = 34011037 is a prime.

It is not a weakly prime, because it can be changed into another prime (34011011) 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, 17005520 + 17005521.

It is an arithmetic number, because the mean of its divisors is an integer number (17005521).

Almost surely, 234011041 is an apocalyptic number.

It is an amenable number.

34011041 is a deficient number, since it is larger than the sum of its proper divisors (1).

34011041 is an equidigital number, since it uses as much as digits as its factorization.

34011041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 34011041 is about 5831.8985759356. The cubic root of 34011041 is about 323.9962435423.

Adding to 34011041 its reverse (14011043), we get a palindrome (48022084).

The spelling of 34011041 in words is "thirty-four million, eleven thousand, forty-one".