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21841344 = 263275417
BaseRepresentation
bin101001101010…
…0010111000000
31112002122200200
41103110113000
521042410334
62100045200
7353435250
oct123242700
945078620
1021841344
11113687a8
127393800
1346a9595
142c87960
151db6799
hex14d45c0

21841344 has 84 divisors (see below), whose sum is σ = 71560944. Its totient is φ = 6239232.

The previous prime is 21841331. The next prime is 21841349. The reversal of 21841344 is 44314812.

It is a tau number, because it is divible by the number of its divisors (84).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21841349) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1324 + ... + 6740.

It is an arithmetic number, because the mean of its divisors is an integer number (851916).

Almost surely, 221841344 is an apocalyptic number.

21841344 is a gapful number since it is divisible by the number (24) 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 21841344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35780472).

21841344 is an abundant number, since it is smaller than the sum of its proper divisors (49719600).

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

21841344 is a wasteful number, since it uses less digits than its factorization.

21841344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5442 (or 5429 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 21841344 is about 4673.4723707325. The cubic root of 21841344 is about 279.5287310602.

The spelling of 21841344 in words is "twenty-one million, eight hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 5417 10834 16251 21668 32502 37919 43336 48753 65004 75838 86672 97506 113757 130008 151676 173344 195012 227514 260016 303352 341271 346688 390024 455028 520032 606704 682542 780048 910056 1040064 1213408 1365084 1560096 1820112 2426816 2730168 3120192 3640224 5460336 7280448 10920672 21841344