Search a number
-
+
34051541 is a prime number
BaseRepresentation
bin1000000111100…
…1010111010101
32101001222221012
42001321113111
532204122131
63213502005
7562301426
oct201712725
971058835
1034051541
1118248477
12b4a1905
137093154
14474564d
152ec952b
hex20795d5

34051541 has 2 divisors, whose sum is σ = 34051542. Its totient is φ = 34051540.

The previous prime is 34051499. The next prime is 34051627. The reversal of 34051541 is 14515043.

34051541 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., 33292900 + 758641 = 5770^2 + 871^2 .

It is an emirp because it is prime and its reverse (14515043) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34051541 - 210 = 34050517 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34051441) 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, 17025770 + 17025771.

It is an arithmetic number, because the mean of its divisors is an integer number (17025771).

Almost surely, 234051541 is an apocalyptic number.

It is an amenable number.

34051541 is a deficient number, since it is larger than the sum of its proper divisors (1).

34051541 is an equidigital number, since it uses as much as digits as its factorization.

34051541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 34051541 is about 5835.3698254695. The cubic root of 34051541 is about 324.1247963344.

Adding to 34051541 its reverse (14515043), we get a palindrome (48566584).

The spelling of 34051541 in words is "thirty-four million, fifty-one thousand, five hundred forty-one".