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4434344244 = 2233115776469
BaseRepresentation
bin1000010000100111…
…01011100100110100
3102110001000000202000
410020103223210310
533040143003434
62012003215300
7214613206221
oct41023534464
912401000660
104434344244
111976087510
12a39077530
135588c9445
14300cd8948
151ae46eb99
hex1084eb934

4434344244 has 96 divisors (see below), whose sum is σ = 12565257600. Its totient is φ = 1341204480.

The previous prime is 4434344177. The next prime is 4434344249. The reversal of 4434344244 is 4424434344.

4434344244 is a `hidden beast` number, since 44 + 34 + 344 + 244 = 666.

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 = 4434344199 and 4434344208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4434344249) 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, 682242 + ... + 688710.

It is an arithmetic number, because the mean of its divisors is an integer number (130888100).

Almost surely, 24434344244 is an apocalyptic number.

4434344244 is a gapful number since it is divisible by the number (44) 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 4434344244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6282628800).

4434344244 is an abundant number, since it is smaller than the sum of its proper divisors (8130913356).

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

4434344244 is a wasteful number, since it uses less digits than its factorization.

4434344244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7070 (or 7062 counting only the distinct ones).

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

The square root of 4434344244 is about 66590.8720771849. The cubic root of 4434344244 is about 1642.8949764235.

Adding to 4434344244 its reverse (4424434344), we get a palindrome (8858778588).

The spelling of 4434344244 in words is "four billion, four hundred thirty-four million, three hundred forty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 577 594 1154 1188 1731 2308 3462 5193 6347 6469 6924 10386 12694 12938 15579 19041 19407 20772 25388 25876 31158 38082 38814 57123 58221 62316 71159 76164 77628 114246 116442 142318 171369 174663 213477 228492 232884 284636 342738 349326 426954 640431 685476 698652 853908 1280862 1921293 2561724 3732613 3842586 7465226 7685172 11197839 14930452 22395678 33593517 41058743 44791356 67187034 82117486 100780551 123176229 134374068 164234972 201561102 246352458 369528687 403122204 492704916 739057374 1108586061 1478114748 2217172122 4434344244