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41344 = 271719
BaseRepresentation
bin1010000110000000
32002201021
422012000
52310334
6515224
7231352
oct120600
962637
1041344
1129076
121bb14
1315a84
14110d2
15c3b4
hexa180

41344 has 32 divisors (see below), whose sum is σ = 91800. Its totient is φ = 18432.

The previous prime is 41341. The next prime is 41351. The reversal of 41344 is 44314.

Subtracting from 41344 its sum of digits (16), we obtain a triangular number (41328 = T287).

Adding to 41344 its reverse (44314), we get a palindrome (85658).

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41341) 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, 2167 + ... + 2185.

241344 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 41344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45900).

41344 is an abundant number, since it is smaller than the sum of its proper divisors (50456).

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

41344 is a wasteful number, since it uses less digits than its factorization.

41344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 38 counting only the distinct ones).

The product of its digits is 192, while the sum is 16.

The square root of 41344 is about 203.3322404342. The cubic root of 41344 is about 34.5783418870.

The spelling of 41344 in words is "forty-one thousand, three hundred forty-four", and thus it is an iban number.

Divisors: 1 2 4 8 16 17 19 32 34 38 64 68 76 128 136 152 272 304 323 544 608 646 1088 1216 1292 2176 2432 2584 5168 10336 20672 41344