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4045341609 = 343721912
BaseRepresentation
bin1111000100011111…
…0000001110101001
3101102221000122110000
43301013300032221
531241101412414
61505225413213
7202150556601
oct36107601651
911387018400
104045341609
111796543031
1294a93a209
134c613867a
142a5397c01
1518a22eb09
hexf11f03a9

4045341609 has 45 divisors (see below), whose sum is σ = 6243468231. Its totient is φ = 2610267120.

The previous prime is 4045341589. The next prime is 4045341679. The reversal of 4045341609 is 9061435404.

The square root of 4045341609 is 63603.

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

4045341609 is a `hidden beast` number, since 4 + 0 + 4 + 5 + 3 + 41 + 609 = 666.

4045341609 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 only one way, i.e., 3619827225 + 425514384 = 60165^2 + 20628^2 .

It is not a de Polignac number, because 4045341609 - 25 = 4045341577 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4045341679) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 21179704 + ... + 21179894.

Almost surely, 24045341609 is an apocalyptic number.

4045341609 is the 63603-rd square number.

4045341609 is the 31802-nd centered octagonal number.

It is an amenable number.

4045341609 is a deficient number, since it is larger than the sum of its proper divisors (2198126622).

4045341609 is an frugal number, since it uses more digits than its factorization.

4045341609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The cubic root of 4045341609 is about 1593.3764737371.

Multiplying 4045341609 by its sum of digits (36), we get a square (145632297924 = 3816182).

The spelling of 4045341609 in words is "four billion, forty-five million, three hundred forty-one thousand, six hundred nine".

Divisors: 1 3 9 27 37 81 111 191 333 573 999 1369 1719 2997 4107 5157 7067 12321 15471 21201 36481 36963 63603 109443 110889 190809 261479 328329 572427 784437 984987 1349797 2353311 2954961 4049391 7059933 12148173 21179799 36444519 49942489 109333557 149827467 449482401 1348447203 4045341609