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41340 = 22351353
BaseRepresentation
bin1010000101111100
32002201010
422011330
52310330
6515220
7231345
oct120574
962633
1041340
1129072
121bb10
1315a80
14110cc
15c3b0
hexa17c

41340 has 48 divisors (see below), whose sum is σ = 127008. Its totient is φ = 9984.

The previous prime is 41333. The next prime is 41341. The reversal of 41340 is 4314.

41340 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 15 ways as a sum of consecutive naturals, for example, 754 + ... + 806.

It is an arithmetic number, because the mean of its divisors is an integer number (2646).

241340 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 41340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63504).

41340 is an abundant number, since it is smaller than the sum of its proper divisors (85668).

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

41340 is a wasteful number, since it uses less digits than its factorization.

41340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 41340 is about 203.3224040779. The cubic root of 41340 is about 34.5772267084.

Subtracting from 41340 its sum of digits (12), we obtain a triangular number (41328 = T287).

Adding to 41340 its reverse (4314), we get a palindrome (45654).

The spelling of 41340 in words is "forty-one thousand, three hundred forty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 53 60 65 78 106 130 156 159 195 212 260 265 318 390 530 636 689 780 795 1060 1378 1590 2067 2756 3180 3445 4134 6890 8268 10335 13780 20670 41340