What are the numbers divisible by 440?

440, 880, 1320, 1760, 2200, 2640, 3080, 3520, 3960, 4400, 4840, 5280, 5720, 6160, 6600, 7040, 7480, 7920, 8360, 8800, 9240, 9680, 10120, 10560, 11000, 11440, 11880, 12320, 12760, 13200, 13640, 14080, 14520, 14960, 15400, 15840, 16280, 16720, 17160, 17600, 18040, 18480, 18920, 19360, 19800, 20240, 20680, 21120, 21560, 22000, 22440, 22880, 23320, 23760, 24200, 24640, 25080, 25520, 25960, 26400, 26840, 27280, 27720, 28160, 28600, 29040, 29480, 29920, 30360, 30800, 31240, 31680, 32120, 32560, 33000, 33440, 33880, 34320, 34760, 35200, 35640, 36080, 36520, 36960, 37400, 37840, 38280, 38720, 39160, 39600, 40040, 40480, 40920, 41360, 41800, 42240, 42680, 43120, 43560, 44000, 44440, 44880, 45320, 45760, 46200, 46640, 47080, 47520, 47960, 48400, 48840, 49280, 49720, 50160, 50600, 51040, 51480, 51920, 52360, 52800, 53240, 53680, 54120, 54560, 55000, 55440, 55880, 56320, 56760, 57200, 57640, 58080, 58520, 58960, 59400, 59840, 60280, 60720, 61160, 61600, 62040, 62480, 62920, 63360, 63800, 64240, 64680, 65120, 65560, 66000, 66440, 66880, 67320, 67760, 68200, 68640, 69080, 69520, 69960, 70400, 70840, 71280, 71720, 72160, 72600, 73040, 73480, 73920, 74360, 74800, 75240, 75680, 76120, 76560, 77000, 77440, 77880, 78320, 78760, 79200, 79640, 80080, 80520, 80960, 81400, 81840, 82280, 82720, 83160, 83600, 84040, 84480, 84920, 85360, 85800, 86240, 86680, 87120, 87560, 88000, 88440, 88880, 89320, 89760, 90200, 90640, 91080, 91520, 91960, 92400, 92840, 93280, 93720, 94160, 94600, 95040, 95480, 95920, 96360, 96800, 97240, 97680, 98120, 98560, 99000, 99440, 99880

There is a total of 227 numbers (up to 100000) that are divisible by 440.
The sum of these numbers is 11386320.
The arithmetic mean of these numbers is 50160.

How to find the numbers divisible by 440?

Finding all the numbers that can be divided by 440 is essentially the same as searching for the multiples of 440: if a number N is a multiple of 440, then 440 is a divisor of N.

Indeed, if we assume that N is a multiple of 440, this means there exists an integer k such that:

$k \times 440 = N$

Conversely, the result of N divided by 440 is this same integer k (without any remainder):

$k = \frac{N}{440}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 440 (we can keep multiplying it by increasingly larger integers, without ever reaching the end).

However, in this instance, we've chosen to set an arbitrary limit (specifically, the multiples of 440 less than 100000):

1 × 440 = 440
2 × 440 = 880
3 × 440 = 1320
...
226 × 440 = 99440
227 × 440 = 99880