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443342020 = 2251123412137
BaseRepresentation
bin11010011011001…
…101110011000100
31010220020002220211
4122123031303010
51401443421040
6111554205204
713662226222
oct3233156304
91126202824
10443342020
11208289470
12104583804
1370b08374
1442c47b12
1528dc58ea
hex1a6cdcc4

443342020 has 96 divisors (see below), whose sum is σ = 1086172416. Its totient is φ = 150374400.

The previous prime is 443341967. The next prime is 443342027. The reversal of 443342020 is 20243344.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 443341982 and 443342000.

It is not an unprimeable number, because it can be changed into a prime (443342027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 206392 + ... + 208528.

It is an arithmetic number, because the mean of its divisors is an integer number (11314296).

Almost surely, 2443342020 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 443342020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543086208).

443342020 is an abundant number, since it is smaller than the sum of its proper divisors (642830396).

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

443342020 is a wasteful number, since it uses less digits than its factorization.

443342020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2221 (or 2219 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 443342020 is about 21055.6885425293. The cubic root of 443342020 is about 762.5113254611.

Adding to 443342020 its reverse (20243344), we get a palindrome (463585364).

The spelling of 443342020 in words is "four hundred forty-three million, three hundred forty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 23 41 44 46 55 82 92 110 115 164 205 220 230 253 410 451 460 506 820 902 943 1012 1265 1804 1886 2137 2255 2530 3772 4274 4510 4715 5060 8548 9020 9430 10373 10685 18860 20746 21370 23507 41492 42740 47014 49151 51865 87617 94028 98302 103730 117535 175234 196604 207460 235070 245755 350468 438085 470140 491510 540661 876170 963787 983020 1081322 1752340 1927574 2015191 2162644 2703305 3855148 4030382 4818935 5406610 8060764 9637870 10075955 10813220 19275740 20151910 22167101 40303820 44334202 88668404 110835505 221671010 443342020