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443226816 = 2634193443
BaseRepresentation
bin11010011010110…
…001101011000000
31010220000020220000
4122122301223000
51401431224231
6111551520000
713661236314
oct3232615300
91126006800
10443226816
1120820a95a
12104529000
1370a97ab6
1442c17b44
1528da16e6
hex1a6b1ac0

443226816 has 140 divisors (see below), whose sum is σ = 1323651912. Its totient is φ = 146644992.

The previous prime is 443226787. The next prime is 443226887. The reversal of 443226816 is 618622344.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1000291 + ... + 1000733.

Almost surely, 2443226816 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 443226816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661825956).

443226816 is an abundant number, since it is smaller than the sum of its proper divisors (880425096).

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

443226816 is a wasteful number, since it uses less digits than its factorization.

443226816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 641 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 443226816 is about 21052.9526670251. The cubic root of 443226816 is about 762.4452726465.

The spelling of 443226816 in words is "four hundred forty-three million, two hundred twenty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 193 216 288 324 386 432 443 576 579 648 772 864 886 1158 1296 1329 1544 1728 1737 1772 2316 2592 2658 3088 3474 3544 3987 4632 5184 5211 5316 6176 6948 7088 7974 9264 10422 10632 11961 12352 13896 14176 15633 15948 18528 20844 21264 23922 27792 28352 31266 31896 35883 37056 41688 42528 47844 55584 62532 63792 71766 83376 85056 85499 95688 111168 125064 127584 143532 166752 170998 191376 250128 255168 256497 287064 333504 341996 382752 500256 512994 574128 683992 765504 769491 1000512 1025988 1148256 1367984 1538982 2051976 2296512 2308473 2735968 3077964 4103952 4616946 5471936 6155928 6925419 8207904 9233892 12311856 13850838 16415808 18467784 24623712 27701676 36935568 49247424 55403352 73871136 110806704 147742272 221613408 443226816