Search a number
-
+
34106321 is a prime number
BaseRepresentation
bin1000001000011…
…0101111010001
32101011210002002
42002012233101
532212400241
63215003345
7562620224
oct202065721
971153062
1034106321
1118285647
12b509555
1370b2072
14475b5bb
152eda89b
hex2086bd1

34106321 has 2 divisors, whose sum is σ = 34106322. Its totient is φ = 34106320.

The previous prime is 34106299. The next prime is 34106327. The reversal of 34106321 is 12360143.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32035600 + 2070721 = 5660^2 + 1439^2 .

It is a cyclic number.

It is not a de Polignac number, because 34106321 - 218 = 33844177 is a prime.

It is a super-2 number, since 2×341063212 = 2326482264310082, 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 = 34106293 and 34106302.

It is not a weakly prime, because it can be changed into another prime (34106327) 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, 17053160 + 17053161.

It is an arithmetic number, because the mean of its divisors is an integer number (17053161).

Almost surely, 234106321 is an apocalyptic number.

It is an amenable number.

34106321 is a deficient number, since it is larger than the sum of its proper divisors (1).

34106321 is an equidigital number, since it uses as much as digits as its factorization.

34106321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 34106321 is about 5840.0617291258. The cubic root of 34106321 is about 324.2985138127.

Adding to 34106321 its reverse (12360143), we get a palindrome (46466464).

The spelling of 34106321 in words is "thirty-four million, one hundred six thousand, three hundred twenty-one".