Search a number
-
+
34122581 is a prime number
BaseRepresentation
bin1000001000101…
…0101101010101
32101012121101022
42002022231111
532213410311
63215210525
7563015513
oct202125525
971177338
1034122581
1118296889
12b516a45
1370b959c
1447634b3
152ee05db
hex208ab55

34122581 has 2 divisors, whose sum is σ = 34122582. Its totient is φ = 34122580.

The previous prime is 34122551. The next prime is 34122623. The reversal of 34122581 is 18522143.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 34035556 + 87025 = 5834^2 + 295^2 .

It is an emirp because it is prime and its reverse (18522143) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34122581 - 222 = 29928277 is a prime.

It is a super-2 number, since 2×341225812 = 2328701068203122, which contains 22 as substring.

It is equal to p2096414 and since 34122581 and 2096414 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34122581.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34122541) 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, 17061290 + 17061291.

It is an arithmetic number, because the mean of its divisors is an integer number (17061291).

Almost surely, 234122581 is an apocalyptic number.

It is an amenable number.

34122581 is a deficient number, since it is larger than the sum of its proper divisors (1).

34122581 is an equidigital number, since it uses as much as digits as its factorization.

34122581 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1920, while the sum is 26.

The square root of 34122581 is about 5841.4536718183. The cubic root of 34122581 is about 324.3500414663.

It can be divided in two parts, 341 and 22581, that added together give a palindrome (22922).

The spelling of 34122581 in words is "thirty-four million, one hundred twenty-two thousand, five hundred eighty-one".