Search a number
-
+
34510031 is a prime number
BaseRepresentation
bin1000001110100…
…1010011001111
32101221021212022
42003221103033
532313310111
63231400355
7566221223
oct203512317
971837768
1034510031
1118530996
12b6830bb
1371c3a4a
144824783
15306a2db
hex20e94cf

34510031 has 2 divisors, whose sum is σ = 34510032. Its totient is φ = 34510030.

The previous prime is 34510027. The next prime is 34510033. The reversal of 34510031 is 13001543.

34510031 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 is an emirp because it is prime and its reverse (13001543) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34510031 - 22 = 34510027 is a prime.

It is a super-2 number, since 2×345100312 = 2381884479241922, which contains 22 as substring.

Together with 34510033, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 34509991 and 34510009.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34510033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17255015 + 17255016.

It is an arithmetic number, because the mean of its divisors is an integer number (17255016).

Almost surely, 234510031 is an apocalyptic number.

34510031 is a deficient number, since it is larger than the sum of its proper divisors (1).

34510031 is an equidigital number, since it uses as much as digits as its factorization.

34510031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 34510031 is about 5874.5238956021. The cubic root of 34510031 is about 325.5730513095.

Adding to 34510031 its reverse (13001543), we get a palindrome (47511574).

The spelling of 34510031 in words is "thirty-four million, five hundred ten thousand, thirty-one".