Search a number
-
+
3364133 is a prime number
BaseRepresentation
bin1100110101010100100101
320022220201112
430311110211
51330123013
6200034405
740410653
oct14652445
96286645
103364133
111998583
121162a05
1390a316
14637dd3
15466ba8
hex335525

3364133 has 2 divisors, whose sum is σ = 3364134. Its totient is φ = 3364132.

The previous prime is 3364117. The next prime is 3364139. The reversal of 3364133 is 3314633.

3364133 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., 3323329 + 40804 = 1823^2 + 202^2 .

It is a cyclic number.

It is not a de Polignac number, because 3364133 - 24 = 3364117 is a prime.

It is a super-2 number, since 2×33641332 = 22634781683378, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 3364099 and 3364108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3364139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1682066 + 1682067.

It is an arithmetic number, because the mean of its divisors is an integer number (1682067).

Almost surely, 23364133 is an apocalyptic number.

It is an amenable number.

3364133 is a deficient number, since it is larger than the sum of its proper divisors (1).

3364133 is an equidigital number, since it uses as much as digits as its factorization.

3364133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1944, while the sum is 23.

The square root of 3364133 is about 1834.1572996883. The cubic root of 3364133 is about 149.8388343069.

Adding to 3364133 its reverse (3314633), we get a palindrome (6678766).

The spelling of 3364133 in words is "three million, three hundred sixty-four thousand, one hundred thirty-three".