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4105340329 is a prime number
BaseRepresentation
bin1111010010110010…
…1000010110101001
3101121002220220012211
43310230220112221
531401431342304
61515211405121
7203506550146
oct36454502651
911532826184
104105340329
1118173a2a52
12966a537a1
135056b4b7c
142ad3353cd
15190632204
hexf4b285a9

4105340329 has 2 divisors, whose sum is σ = 4105340330. Its totient is φ = 4105340328.

The previous prime is 4105340269. The next prime is 4105340339. The reversal of 4105340329 is 9230435014.

4105340329 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., 2693610000 + 1411730329 = 51900^2 + 37573^2 .

It is a cyclic number.

It is not a de Polignac number, because 4105340329 - 213 = 4105332137 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4105340329.

It is not a weakly prime, because it can be changed into another prime (4105340339) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2052670164 + 2052670165.

It is an arithmetic number, because the mean of its divisors is an integer number (2052670165).

Almost surely, 24105340329 is an apocalyptic number.

It is an amenable number.

4105340329 is a deficient number, since it is larger than the sum of its proper divisors (1).

4105340329 is an equidigital number, since it uses as much as digits as its factorization.

4105340329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 4105340329 is about 64072.9297675703. The cubic root of 4105340329 is about 1601.2152653944.

The spelling of 4105340329 in words is "four billion, one hundred five million, three hundred forty thousand, three hundred twenty-nine".