Search a number
-
+
34806517 is a prime number
BaseRepresentation
bin1000010011000…
…1101011110101
32102111100120021
42010301223311
532402302032
63242005141
7601564504
oct204615365
972440507
1034806517
1118713719
12b7a67b1
137298995
1448a083b
1530c8097
hex2131af5

34806517 has 2 divisors, whose sum is σ = 34806518. Its totient is φ = 34806516.

The previous prime is 34806511. The next prime is 34806523. The reversal of 34806517 is 71560843.

34806517 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (34806511) and next prime (34806523).

It can be written as a sum of positive squares in only one way, i.e., 27973521 + 6832996 = 5289^2 + 2614^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34806517 is a prime.

It is a super-2 number, since 2×348065172 = 2422987251342578, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34806511) 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, 17403258 + 17403259.

It is an arithmetic number, because the mean of its divisors is an integer number (17403259).

Almost surely, 234806517 is an apocalyptic number.

It is an amenable number.

34806517 is a deficient number, since it is larger than the sum of its proper divisors (1).

34806517 is an equidigital number, since it uses as much as digits as its factorization.

34806517 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 34806517 is about 5899.7048231246. The cubic root of 34806517 is about 326.5027590648.

The spelling of 34806517 in words is "thirty-four million, eight hundred six thousand, five hundred seventeen".