Search a number
-
+
4105349329 = 17237692
BaseRepresentation
bin1111010010110010…
…1010100011010001
3101121002221100120011
43310230222203101
531401432134304
61515211514521
7203506615324
oct36454524321
911532840504
104105349329
1118173a9794
12966a58a41
135056b8cb3
142ad3387bb
15190634c04
hexf4b2a8d1

4105349329 has 9 divisors (see below), whose sum is σ = 4362203217. Its totient is φ = 3862833024.

The previous prime is 4105349231. The next prime is 4105349377. The reversal of 4105349329 is 9239435014.

The square root of 4105349329 is 64073.

It is a perfect power (a square), and thus also a powerful number.

4105349329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1519830225 + 2585519104 = 38985^2 + 50848^2 .

It is not a de Polignac number, because 4105349329 - 215 = 4105316561 is a prime.

It is a super-2 number, since 2×41053493292 = 33707786226241500482, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4105349291 and 4105349300.

It is not an unprimeable number, because it can be changed into a prime (4105340329) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1087357 + ... + 1091125.

Almost surely, 24105349329 is an apocalyptic number.

4105349329 is the 64073-rd square number.

4105349329 is the 32037-th centered octagonal number.

It is an amenable number.

4105349329 is a deficient number, since it is larger than the sum of its proper divisors (256853888).

4105349329 is an frugal number, since it uses more digits than its factorization.

4105349329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7572 (or 3786 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 40.

The cubic root of 4105349329 is about 1601.2164354904.

The spelling of 4105349329 in words is "four billion, one hundred five million, three hundred forty-nine thousand, three hundred twenty-nine".

Divisors: 1 17 289 3769 64073 1089241 14205361 241491137 4105349329