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82441344 = 273214691
BaseRepresentation
bin1001110100111…
…11010010000000
312202010110021010
410322133102000
5132101110334
612103000520
72020511526
oct472372200
9182113233
1082441344
1142599447
1223739140
131410667b
14ad40316
1573870e9
hex4e9f480

82441344 has 32 divisors (see below), whose sum is σ = 218985840. Its totient is φ = 27480320.

The previous prime is 82441343. The next prime is 82441357. The reversal of 82441344 is 44314428.

It is a tau number, because it is divible by the number of its divisors (32).

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

It is not an unprimeable number, because it can be changed into a prime (82441343) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 106962 + ... + 107729.

Almost surely, 282441344 is an apocalyptic number.

It is an amenable number.

82441344 is an abundant number, since it is smaller than the sum of its proper divisors (136544496).

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

82441344 is a wasteful number, since it uses less digits than its factorization.

82441344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214708 (or 214696 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

The square root of 82441344 is about 9079.7215816345. The cubic root of 82441344 is about 435.2261896725.

The spelling of 82441344 in words is "eighty-two million, four hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 214691 429382 644073 858764 1288146 1717528 2576292 3435056 5152584 6870112 10305168 13740224 20610336 27480448 41220672 82441344