Search a number
-
+
34213313 is a prime number
BaseRepresentation
bin1000001010000…
…0110111000001
32101101012211202
42002200313001
532224311223
63221150545
7563544161
oct202406701
971335752
1034213313
1118348a72
12b55b455
13711b984
1447885a1
15300c428
hex20a0dc1

34213313 has 2 divisors, whose sum is σ = 34213314. Its totient is φ = 34213312.

The previous prime is 34213297. The next prime is 34213327. The reversal of 34213313 is 31331243.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21418384 + 12794929 = 4628^2 + 3577^2 .

It is an emirp because it is prime and its reverse (31331243) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34213313 - 24 = 34213297 is a prime.

It is not a weakly prime, because it can be changed into another prime (34213363) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17106656 + 17106657.

It is an arithmetic number, because the mean of its divisors is an integer number (17106657).

Almost surely, 234213313 is an apocalyptic number.

It is an amenable number.

34213313 is a deficient number, since it is larger than the sum of its proper divisors (1).

34213313 is an equidigital number, since it uses as much as digits as its factorization.

34213313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 648, while the sum is 20.

The square root of 34213313 is about 5849.2147336202. The cubic root of 34213313 is about 324.6372694710.

Adding to 34213313 its reverse (31331243), we get a palindrome (65544556).

The spelling of 34213313 in words is "thirty-four million, two hundred thirteen thousand, three hundred thirteen".