Search a number
-
+
34369 is a prime number
BaseRepresentation
bin1000011001000001
31202010221
420121001
52044434
6423041
7202126
oct103101
952127
1034369
1123905
1217a81
131284a
14c74d
15a2b4
hex8641

34369 has 2 divisors, whose sum is σ = 34370. Its totient is φ = 34368.

The previous prime is 34367. The next prime is 34381. The reversal of 34369 is 96343.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 34225 + 144 = 185^2 + 12^2 .

It is a cyclic number.

It is not a de Polignac number, because 34369 - 21 = 34367 is a prime.

It is a super-2 number, since 2×343692 = 2362456322, which contains 22 as substring.

Together with 34367, it forms a pair of twin primes.

It is an alternating number because its digits alternate between odd and even.

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 34369.

It is not a weakly prime, because it can be changed into another prime (34361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17184 + 17185.

It is an arithmetic number, because the mean of its divisors is an integer number (17185).

234369 is an apocalyptic number.

It is an amenable number.

34369 is a deficient number, since it is larger than the sum of its proper divisors (1).

34369 is an equidigital number, since it uses as much as digits as its factorization.

34369 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1944, while the sum is 25.

The square root of 34369 is about 185.3887806746. The cubic root of 34369 is about 32.5128942918.

The spelling of 34369 in words is "thirty-four thousand, three hundred sixty-nine".