230376960
230,376,960 is an even composite number composed of five prime numbers multiplied together.
230376960 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred divisors.
Prime factorization of 230376960:
29 × 34 × 5 × 11 × 101
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 11 × 101)See below for interesting mathematical facts about the number 230376960 from the Numbermatics database.
Names of 230376960
- Cardinal: 230376960 can be written as Two hundred thirty million, three hundred seventy-six thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 2.3037696 × 108
Factors of 230376960
Divisors of 230376960
- Number of divisors d(n): 400
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 32 33 36 40 44 45 48 54 55 60 64 66 72 80 81 88 90 96 99 101 108 110 120 128 132 135 144 160 162 165 176 180 192 198 202 216 220 240 256 264 270 288 297 303 320 324 330 352 360 384 396 404 405 432 440 480 495 505 512 528 540 576 594 606 640 648 660 704 720 768 792 808 810 864 880 891 909 960 990 1010 1056 1080 1111 1152 1188 1212 1280 1296 1320 1408 1440 1485 1515 1536 1584 1616 1620 1728 1760 1782 1818 1920 1980 2020 2112 2160 2222 2304 2376 2424 2560 2592 2640 2727 2816 2880 2970 3030 3168 3232 3240 3333 3456 3520 3564 3636 3840 3960 4040 4224 4320 4444 4455 4545 4608 4752 4848 5184 5280 5454 5555 5632 5760 5940 6060 6336 6464 6480 6666 6912 7040 7128 7272 7680 7920 8080 8181 8448 8640 8888 8910 9090 9504 9696 9999 10368 10560 10908 11110 11520 11880 12120 12672 12928 12960 13332 13635 13824 14080 14256 14544 15840 16160 16362 16665 16896 17280 17776 17820 18180 19008 19392 19998 20736 21120 21816 22220 23040 23760 24240 25344 25856 25920 26664 27270 28160 28512 29088 29997 31680 32320 32724 33330 34560 35552 35640 36360 38016 38784 39996 40905 41472 42240 43632 44440 47520 48480 49995 50688 51712 51840 53328 54540 57024 58176 59994 63360 64640 65448 66660 69120 71104 71280 72720 76032 77568 79992 81810 84480 87264 88880 89991 95040 96960 99990 103680 106656 109080 114048 116352 119988 126720 129280 130896 133320 142208 142560 145440 149985 152064 155136 159984 163620 174528 177760 179982 190080 193920 199980 207360 213312 218160 228096 232704 239976 253440 258560 261792 266640 284416 285120 290880 299970 319968 327240 349056 355520 359964 380160 387840 399960 426624 436320 449955 456192 465408 479952 523584 533280 568832 570240 581760 599940 639936 654480 698112 711040 719928 760320 775680 799920 853248 872640 899910 959904 1047168 1066560 1140480 1163520 1199880 1279872 1308960 1396224 1422080 1439856 1599840 1706496 1745280 1799820 1919808 2094336 2133120 2280960 2327040 2399760 2559744 2617920 2844160 2879712 3199680 3490560 3599640 3839616 4188672 4266240 4799520 5119488 5235840 5759424 6399360 6981120 7199280 7679232 8532480 9599040 10471680 11518848 12798720 14398560 15358464 19198080 20943360 23037696 25597440 28797120 38396160 46075392 57594240 76792320 115188480 230376960
- Sum of all divisors σ(n): 909062352
- Sum of proper divisors (its aliquot sum) s(n): 678685392
- 230376960 is an abundant number, because the sum of its proper divisors (678685392) is greater than itself. Its abundance is 448308432
Bases of 230376960
- Binary: 11011011101101000110000000002
- Hexadecimal: 0xDBB4600
- Base-36: 3T5S00
Squares and roots of 230376960
- 230376960 squared (2303769602) is 53073543698841600
- 230376960 cubed (2303769603) is 12226921653766283329536000
-
The
square root of 230376960 is 15178.1738031949 -
The
cube root of 230376960 is 613.0271103155
Scales and comparisons
How big is 230376960?- 230,376,960 seconds is equal to 7 years, 16 weeks, 6 days, 9 hours, 36 minutes.
-
To count from 1 to 230,376,960 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 230376960 cubic inches would be around 51.1 feet tall.
Recreational maths with 230376960
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