Search a number
-
+
36346729 is a prime number
BaseRepresentation
bin1000101010100…
…1101101101001
32112101121100011
42022221231221
533301043404
63335011521
7620641066
oct212515551
975347304
1036346729
1119575921
1210209ba1
1376b7a53
144b81c6d
1532ce604
hex22a9b69

36346729 has 2 divisors, whose sum is σ = 36346730. Its totient is φ = 36346728.

The previous prime is 36346703. The next prime is 36346747. The reversal of 36346729 is 92764363.

36346729 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 can be written as a sum of positive squares in only one way, i.e., 33872400 + 2474329 = 5820^2 + 1573^2 .

It is a cyclic number.

It is not a de Polignac number, because 36346729 - 211 = 36344681 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 36346691 and 36346700.

It is not a weakly prime, because it can be changed into another prime (36346759) 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, 18173364 + 18173365.

It is an arithmetic number, because the mean of its divisors is an integer number (18173365).

Almost surely, 236346729 is an apocalyptic number.

It is an amenable number.

36346729 is a deficient number, since it is larger than the sum of its proper divisors (1).

36346729 is an equidigital number, since it uses as much as digits as its factorization.

36346729 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 163296, while the sum is 40.

The square root of 36346729 is about 6028.8248440306. The cubic root of 36346729 is about 331.2494081394.

The spelling of 36346729 in words is "thirty-six million, three hundred forty-six thousand, seven hundred twenty-nine".