230032440
230,032,440 is an even composite number composed of six prime numbers multiplied together.
230032440 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 230032440:
23 × 33 × 5 × 11 × 172 × 67
(2 × 2 × 2 × 3 × 3 × 3 × 5 × 11 × 17 × 17 × 67)See below for interesting mathematical facts about the number 230032440 from the Numbermatics database.
Names of 230032440
- Cardinal: 230032440 can be written as Two hundred thirty million, thirty-two thousand, four hundred forty.
Scientific notation
- Scientific notation: 2.3003244 × 108
Factors of 230032440
Divisors of 230032440
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 17 18 20 22 24 27 30 33 34 36 40 44 45 51 54 55 60 66 67 68 72 85 88 90 99 102 108 110 120 132 134 135 136 153 165 170 180 187 198 201 204 216 220 255 264 268 270 289 297 306 330 335 340 360 374 396 402 408 440 459 495 510 536 540 561 578 594 603 612 660 670 680 737 748 765 792 804 867 918 935 990 1005 1020 1080 1122 1139 1156 1188 1206 1224 1320 1340 1445 1474 1485 1496 1530 1608 1683 1734 1809 1836 1870 1980 2010 2040 2211 2244 2278 2295 2312 2376 2412 2601 2680 2805 2890 2948 2970 3015 3060 3179 3366 3417 3468 3618 3672 3685 3740 3960 4020 4335 4422 4488 4556 4590 4824 5049 5202 5610 5695 5780 5896 5940 6030 6120 6358 6633 6732 6834 6936 7236 7370 7480 7803 8040 8415 8670 8844 9045 9112 9180 9537 10098 10251 10404 11055 11220 11390 11560 11880 12060 12529 12716 13005 13266 13464 13668 14472 14740 15606 15895 16830 17085 17340 17688 18090 18360 19074 19363 19899 20196 20502 20808 22110 22440 22780 24120 25058 25245 25432 26010 26532 27336 28611 29480 30753 31212 31790 33165 33660 34170 34680 36180 37587 38148 38726 39015 39798 40392 41004 44220 45560 47685 50116 50490 51255 52020 53064 57222 58089 61506 62424 62645 63580 66330 67320 68340 72360 75174 76296 77452 78030 79596 82008 85833 88440 95370 96815 99495 100232 100980 102510 104040 112761 114444 116178 123012 125290 127160 132660 136680 143055 150348 153765 154904 156060 159192 171666 174267 187935 190740 193630 198990 201960 205020 212993 225522 228888 232356 246024 250580 265320 286110 290445 300696 307530 312120 338283 343332 348534 375870 381480 387260 397980 410040 425986 429165 451044 464712 501160 522801 563805 572220 580890 615060 638979 676566 686664 697068 751740 774520 795960 851972 858330 871335 902088 1045602 1064965 1127610 1144440 1161780 1230120 1277958 1353132 1394136 1503480 1691415 1703944 1716660 1742670 1916937 2091204 2129930 2255220 2323560 2555916 2614005 2706264 3194895 3382830 3433320 3485340 3833874 4182408 4259860 4510440 5111832 5228010 5750811 6389790 6765660 6970680 7667748 8519720 9584685 10456020 11501622 12779580 13531320 15335496 19169370 20912040 23003244 25559160 28754055 38338740 46006488 57508110 76677480 115016220 230032440
- Sum of all divisors σ(n): 901843200
- Sum of proper divisors (its aliquot sum) s(n): 671810760
- 230032440 is an abundant number, because the sum of its proper divisors (671810760) is greater than itself. Its abundance is 441778320
Bases of 230032440
- Binary: 11011011011000000100001110002
- Hexadecimal: 0xDB60438
- Base-36: 3SYE60
Squares and roots of 230032440
- 230032440 squared (2300324402) is 52914923452353600
- 230032440 cubed (2300324403) is 12172148954158122350784000
-
The
square root of 230032440 is 15166.8203655215 -
The
cube root of 230032440 is 612.7213715989
Scales and comparisons
How big is 230032440?- 230,032,440 seconds is equal to 7 years, 16 weeks, 2 days, 9 hours, 54 minutes.
-
To count from 1 to 230,032,440 would take you about ten years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 230032440 cubic inches would be around 51.1 feet tall.
Recreational maths with 230032440
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