Search a number
-
+
443420404 = 2272192331167
BaseRepresentation
bin11010011011100…
…000111011110100
31010220101002102221
4122123200323310
51402003423104
6112000012124
713663003600
oct3233407364
91126332387
10443420404
11208332349
12104601044
1370b34c4b
1442c68500
1528dddc54
hex1a6e0ef4

443420404 has 144 divisors (see below), whose sum is σ = 1029611520. Its totient is φ = 165654720.

The previous prime is 443420399. The next prime is 443420413. The reversal of 443420404 is 404024344.

Adding to 443420404 its reverse (404024344), we get a palindrome (847444748).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2655129 + ... + 2655295.

It is an arithmetic number, because the mean of its divisors is an integer number (7150080).

Almost surely, 2443420404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 443420404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514805760).

443420404 is an abundant number, since it is smaller than the sum of its proper divisors (586191116).

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

443420404 is a wasteful number, since it uses less digits than its factorization.

443420404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

The square root of 443420404 is about 21057.5498099850. The cubic root of 443420404 is about 762.5562607954.

The spelling of 443420404 in words is "four hundred forty-three million, four hundred twenty thousand, four hundred four".

Divisors: 1 2 4 7 14 19 23 28 31 38 46 49 62 76 92 98 124 133 161 167 196 217 266 322 334 434 437 532 589 644 668 713 868 874 931 1127 1169 1178 1426 1519 1748 1862 2254 2338 2356 2852 3038 3059 3173 3724 3841 4123 4508 4676 4991 5177 6076 6118 6346 7682 8183 8246 9982 10354 12236 12692 13547 15364 16366 16492 19964 20708 21413 22211 26887 27094 28861 32732 34937 36239 42826 44422 53774 54188 57722 69874 72478 72979 85652 88844 94829 98363 107548 115444 119071 139748 144956 145958 155477 188209 189658 196726 238142 253673 291916 310954 376418 379316 393452 476284 507346 510853 621908 663803 688541 752836 833497 1014692 1021706 1327606 1377082 1666994 2043412 2262349 2655212 2754164 3333988 3575971 4524698 4819787 5834479 7151942 9049396 9639574 11668958 14303884 15836443 19279148 23337916 31672886 63345772 110855101 221710202 443420404