Search a number
-
+
34209377 is a prime number
BaseRepresentation
bin1000001001111…
…1111001100001
32101101000102222
42002133321201
532224200002
63221120425
7563526536
oct202377141
971330388
1034209377
1118346014
12b559115
137119c47
144786d8d
15300b1a2
hex209fe61

34209377 has 2 divisors, whose sum is σ = 34209378. Its totient is φ = 34209376.

The previous prime is 34209361. The next prime is 34209379. The reversal of 34209377 is 77390243.

34209377 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20784481 + 13424896 = 4559^2 + 3664^2 .

It is a cyclic number.

It is not a de Polignac number, because 34209377 - 24 = 34209361 is a prime.

Together with 34209379, 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 (34209379) 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, 17104688 + 17104689.

It is an arithmetic number, because the mean of its divisors is an integer number (17104689).

Almost surely, 234209377 is an apocalyptic number.

It is an amenable number.

34209377 is a deficient number, since it is larger than the sum of its proper divisors (1).

34209377 is an equidigital number, since it uses as much as digits as its factorization.

34209377 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31752, while the sum is 35.

The square root of 34209377 is about 5848.8782685229. The cubic root of 34209377 is about 324.6248199186.

The spelling of 34209377 in words is "thirty-four million, two hundred nine thousand, three hundred seventy-seven".