Search a number
-
+
1641643332 = 2237109193929
BaseRepresentation
bin110000111011001…
…0111110101000100
311020102001010021220
41201312113311010
511330230041312
6430522040340
755452511110
oct14166276504
94212033256
101641643332
11772734a2a
123999490b0
132021565b4
14118054740
15991c7c8c
hex61d97d44

1641643332 has 96 divisors (see below), whose sum is σ = 4445548800. Its totient is φ = 461832192.

The previous prime is 1641643303. The next prime is 1641643349. The reversal of 1641643332 is 2333461461.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1641643293 and 1641643302.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1766644 + ... + 1767572.

It is an arithmetic number, because the mean of its divisors is an integer number (46307800).

Almost surely, 21641643332 is an apocalyptic number.

1641643332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1641643332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2222774400).

1641643332 is an abundant number, since it is smaller than the sum of its proper divisors (2803905468).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1641643332 is a wasteful number, since it uses less digits than its factorization.

1641643332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245 (or 1243 counting only the distinct ones).

The product of its digits is 31104, while the sum is 33.

The square root of 1641643332 is about 40517.1979781426. The cubic root of 1641643332 is about 1179.6674663862.

The spelling of 1641643332 in words is "one billion, six hundred forty-one million, six hundred forty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 109 193 218 327 386 436 579 654 763 772 929 1158 1308 1351 1526 1858 2289 2316 2702 2787 3052 3716 4053 4578 5404 5574 6503 8106 9156 11148 13006 16212 19509 21037 26012 39018 42074 63111 78036 84148 101261 126222 147259 179297 202522 252444 294518 303783 358594 405044 441777 537891 589036 607566 708827 717188 883554 1075782 1215132 1255079 1417654 1767108 2126481 2151564 2510158 2835308 3765237 4252962 5020316 7530474 8505924 15060948 19543373 39086746 58630119 78173492 117260238 136803611 234520476 273607222 410410833 547214444 820821666 1641643332