230382720
230,382,720 is an even composite number composed of six prime numbers multiplied together.
230382720 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 230382720:
27 × 32 × 5 × 23 × 37 × 47
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 23 × 37 × 47)See below for interesting mathematical facts about the number 230382720 from the Numbermatics database.
Names of 230382720
- Cardinal: 230382720 can be written as Two hundred thirty million, three hundred eighty-two thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 2.3038272 × 108
Factors of 230382720
Divisors of 230382720
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 32 36 37 40 45 46 47 48 60 64 69 72 74 80 90 92 94 96 111 115 120 128 138 141 144 148 160 180 184 185 188 192 207 222 230 235 240 276 282 288 296 320 333 345 360 368 370 376 384 414 423 444 460 470 480 552 555 564 576 592 640 666 690 705 720 736 740 752 828 846 851 888 920 940 960 1035 1081 1104 1110 1128 1152 1184 1332 1380 1410 1440 1472 1480 1504 1656 1665 1692 1702 1739 1776 1840 1880 1920 2070 2115 2162 2208 2220 2256 2368 2553 2664 2760 2820 2880 2944 2960 3008 3243 3312 3330 3384 3404 3478 3552 3680 3760 4140 4230 4255 4324 4416 4440 4512 4736 5106 5217 5328 5405 5520 5640 5760 5920 6016 6486 6624 6660 6768 6808 6956 7104 7360 7520 7659 8280 8460 8510 8648 8695 8832 8880 9024 9729 10212 10434 10656 10810 11040 11280 11840 12765 12972 13248 13320 13536 13616 13912 14208 14720 15040 15318 15651 16215 16560 16920 17020 17296 17390 17760 18048 19458 20424 20868 21312 21620 22080 22560 23680 25530 25944 26085 26496 26640 27072 27232 27824 30080 30636 31302 32430 33120 33840 34040 34592 34780 35520 38295 38916 39997 40848 41736 42624 43240 44160 45120 48645 51060 51888 52170 53280 54144 54464 55648 61272 62604 64860 66240 67680 68080 69184 69560 71040 76590 77832 78255 79994 81696 83472 86480 90240 97290 102120 103776 104340 106560 108928 111296 119991 122544 125208 129720 132480 135360 136160 138368 139120 153180 155664 156510 159988 163392 166944 172960 194580 199985 204240 207552 208680 213120 222592 239982 245088 250416 259440 270720 272320 278240 306360 311328 313020 319976 326784 333888 345920 359973 389160 399970 408480 415104 417360 479964 490176 500832 518880 544640 556480 599955 612720 622656 626040 639952 667776 691840 719946 778320 799940 816960 834720 959928 980352 1001664 1037760 1112960 1199910 1225440 1245312 1252080 1279904 1439892 1556640 1599880 1633920 1669440 1799865 1919856 2003328 2075520 2399820 2450880 2504160 2559808 2879784 3113280 3199760 3338880 3599730 3839712 4799640 4901760 5008320 5119616 5759568 6226560 6399520 7199460 7679424 9599280 10016640 11519136 12799040 14398920 15358848 19198560 23038272 25598080 28797840 38397120 46076544 57595680 76794240 115191360 230382720
- Sum of all divisors σ(n): 870704640
- Sum of proper divisors (its aliquot sum) s(n): 640321920
- 230382720 is an abundant number, because the sum of its proper divisors (640321920) is greater than itself. Its abundance is 409939200
Bases of 230382720
- Binary: 11011011101101011100100000002
- Hexadecimal: 0xDBB5C80
- Base-36: 3T5WG0
Squares and roots of 230382720
- 230382720 squared (2303827202) is 53076197674598400
- 230382720 cubed (2303827203) is 12227838787531654299648000
-
The
square root of 230382720 is 15178.3635481563 -
The
cube root of 230382720 is 613.0322193431
Scales and comparisons
How big is 230382720?- 230,382,720 seconds is equal to 7 years, 16 weeks, 6 days, 11 hours, 12 minutes.
-
To count from 1 to 230,382,720 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 230382720 cubic inches would be around 51.1 feet tall.
Recreational maths with 230382720
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