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2443443444 = 22321337731933
BaseRepresentation
bin1001000110100011…
…1111110011110100
320022021202210021100
42101220333303310
520001010142234
61042243250100
7114356632551
oct22150776364
96267683240
102443443444
111044295252
12582379930
132cc2b9930
1419272ba28
15e47a8399
hex91a3fcf4

2443443444 has 144 divisors (see below), whose sum is σ = 6928531792. Its totient is φ = 721115136.

The previous prime is 2443443437. The next prime is 2443443461. The reversal of 2443443444 is 4443443442.

2443443444 is a `hidden beast` number, since 244 + 344 + 34 + 44 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 61027344 + 2382416100 = 7812^2 + 48810^2 .

It is a super-2 number, since 2×24434434442 = 11940831728053162272, which contains 22 as substring.

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 a junction number, because it is equal to n+sod(n) for n = 2443443399 and 2443443408.

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, 1263102 + ... + 1265034.

Almost surely, 22443443444 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 2443443444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3464265896).

2443443444 is an abundant number, since it is smaller than the sum of its proper divisors (4485088348).

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

2443443444 is a wasteful number, since it uses less digits than its factorization.

2443443444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2066 (or 2061 counting only the distinct ones).

The product of its digits is 294912, while the sum is 36.

The square root of 2443443444 is about 49431.1990953082. The cubic root of 2443443444 is about 1346.8961052666.

Adding to 2443443444 its reverse (4443443442), we get a palindrome (6886886886).

The spelling of 2443443444 in words is "two billion, four hundred forty-three million, four hundred forty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 37 39 52 73 74 78 111 117 146 148 156 219 222 234 292 333 438 444 468 481 657 666 876 949 962 1314 1332 1443 1898 1924 1933 2628 2701 2847 2886 3796 3866 4329 5402 5694 5772 5799 7732 8103 8541 8658 10804 11388 11598 16206 17082 17316 17397 23196 24309 25129 32412 34164 34794 35113 48618 50258 69588 70226 71521 75387 97236 100516 105339 140452 141109 143042 150774 210678 214563 226161 282218 286084 301548 316017 421356 423327 429126 452322 564436 632034 643689 846654 858252 904644 929773 1264068 1269981 1287378 1693308 1834417 1859546 2539962 2574756 2789319 3668834 3719092 5079924 5221033 5503251 5578638 7337668 8367957 10442066 11006502 11157276 15663099 16509753 16735914 20884132 22013004 31326198 33019506 33471828 46989297 62652396 66039012 67873429 93978594 135746858 187957188 203620287 271493716 407240574 610860861 814481148 1221721722 2443443444