Search a number
-
+
34693133 is a prime number
BaseRepresentation
bin1000010001011…
…0000000001101
32102021121000212
42010112000031
532340140013
63235332205
7600613106
oct204260015
972247025
1034693133
1118646512
12b751065
1372591a7
1448713ad
1530a46a8
hex211600d

34693133 has 2 divisors, whose sum is σ = 34693134. Its totient is φ = 34693132.

The previous prime is 34693067. The next prime is 34693151. The reversal of 34693133 is 33139643.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33895684 + 797449 = 5822^2 + 893^2 .

It is an emirp because it is prime and its reverse (33139643) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34693133 is a prime.

It is a super-2 number, since 2×346931332 = 2407226954711378, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 34693133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34693163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17346566 + 17346567.

It is an arithmetic number, because the mean of its divisors is an integer number (17346567).

Almost surely, 234693133 is an apocalyptic number.

It is an amenable number.

34693133 is a deficient number, since it is larger than the sum of its proper divisors (1).

34693133 is an equidigital number, since it uses as much as digits as its factorization.

34693133 is an evil number, because the sum of its binary digits is even.

The product of its digits is 17496, while the sum is 32.

The square root of 34693133 is about 5890.0876903489. The cubic root of 34693133 is about 326.1478402802.

The spelling of 34693133 in words is "thirty-four million, six hundred ninety-three thousand, one hundred thirty-three".