What are the numbers divisible by 430?

430, 860, 1290, 1720, 2150, 2580, 3010, 3440, 3870, 4300, 4730, 5160, 5590, 6020, 6450, 6880, 7310, 7740, 8170, 8600, 9030, 9460, 9890, 10320, 10750, 11180, 11610, 12040, 12470, 12900, 13330, 13760, 14190, 14620, 15050, 15480, 15910, 16340, 16770, 17200, 17630, 18060, 18490, 18920, 19350, 19780, 20210, 20640, 21070, 21500, 21930, 22360, 22790, 23220, 23650, 24080, 24510, 24940, 25370, 25800, 26230, 26660, 27090, 27520, 27950, 28380, 28810, 29240, 29670, 30100, 30530, 30960, 31390, 31820, 32250, 32680, 33110, 33540, 33970, 34400, 34830, 35260, 35690, 36120, 36550, 36980, 37410, 37840, 38270, 38700, 39130, 39560, 39990, 40420, 40850, 41280, 41710, 42140, 42570, 43000, 43430, 43860, 44290, 44720, 45150, 45580, 46010, 46440, 46870, 47300, 47730, 48160, 48590, 49020, 49450, 49880, 50310, 50740, 51170, 51600, 52030, 52460, 52890, 53320, 53750, 54180, 54610, 55040, 55470, 55900, 56330, 56760, 57190, 57620, 58050, 58480, 58910, 59340, 59770, 60200, 60630, 61060, 61490, 61920, 62350, 62780, 63210, 63640, 64070, 64500, 64930, 65360, 65790, 66220, 66650, 67080, 67510, 67940, 68370, 68800, 69230, 69660, 70090, 70520, 70950, 71380, 71810, 72240, 72670, 73100, 73530, 73960, 74390, 74820, 75250, 75680, 76110, 76540, 76970, 77400, 77830, 78260, 78690, 79120, 79550, 79980, 80410, 80840, 81270, 81700, 82130, 82560, 82990, 83420, 83850, 84280, 84710, 85140, 85570, 86000, 86430, 86860, 87290, 87720, 88150, 88580, 89010, 89440, 89870, 90300, 90730, 91160, 91590, 92020, 92450, 92880, 93310, 93740, 94170, 94600, 95030, 95460, 95890, 96320, 96750, 97180, 97610, 98040, 98470, 98900, 99330, 99760

There is a total of 232 numbers (up to 100000) that are divisible by 430.
The sum of these numbers is 11622040.
The arithmetic mean of these numbers is 50095.

How to find the numbers divisible by 430?

Finding all the numbers that can be divided by 430 is essentially the same as searching for the multiples of 430: if a number N is a multiple of 430, then 430 is a divisor of N.

Indeed, if we assume that N is a multiple of 430, this means there exists an integer k such that:

$k \times 430 = N$

Conversely, the result of N divided by 430 is this same integer k (without any remainder):

$k = \frac{N}{430}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 430 (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 430 less than 100000):

1 × 430 = 430
2 × 430 = 860
3 × 430 = 1290
...
231 × 430 = 99330
232 × 430 = 99760