830248380
830,248,380 is an even composite number composed of six prime numbers multiplied together.
830248380 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 830248380:
22 × 35 × 5 × 13 × 17 × 773
(2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 13 × 17 × 773)See below for interesting mathematical facts about the number 830248380 from the Numbermatics database.
Names of 830248380
- Cardinal: 830248380 can be written as Eight hundred thirty million, two hundred forty-eight thousand, three hundred eighty.
Scientific notation
- Scientific notation: 8.3024838 × 108
Factors of 830248380
Divisors of 830248380
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 9 10 12 13 15 17 18 20 26 27 30 34 36 39 45 51 52 54 60 65 68 78 81 85 90 102 108 117 130 135 153 156 162 170 180 195 204 221 234 243 255 260 270 306 324 340 351 390 405 442 459 468 486 510 540 585 612 663 702 765 773 780 810 884 918 972 1020 1053 1105 1170 1215 1326 1377 1404 1530 1546 1620 1755 1836 1989 2106 2210 2295 2319 2340 2430 2652 2754 3060 3092 3159 3315 3510 3865 3978 4131 4212 4420 4590 4638 4860 5265 5508 5967 6318 6630 6885 6957 7020 7730 7956 8262 9180 9276 9945 10049 10530 11595 11934 12636 13141 13260 13770 13914 15460 15795 16524 17901 19890 20098 20655 20871 21060 23190 23868 26282 27540 27828 29835 30147 31590 34785 35802 39423 39780 40196 41310 41742 46380 50245 52564 53703 59670 60294 62613 63180 65705 69570 71604 78846 82620 83484 89505 90441 100490 104355 107406 118269 119340 120588 125226 131410 139140 150735 157692 170833 179010 180882 187839 197115 200980 208710 214812 236538 250452 262820 268515 271323 301470 313065 341666 354807 358020 361764 375678 394230 417420 452205 473076 512499 537030 542646 591345 602940 626130 683332 709614 751356 788460 813969 854165 904410 939195 1024998 1064421 1074060 1085292 1182690 1252260 1356615 1419228 1537497 1627938 1708330 1774035 1808820 1878390 2049996 2128842 2365380 2441907 2562495 2713230 3074994 3193263 3255876 3416660 3548070 3756780 4069845 4257684 4612491 4883814 5124990 5322105 5426460 6149988 6386526 7096140 7687485 8139690 9224982 9767628 10249980 10644210 12209535 12773052 13837473 15374970 15966315 16279380 18449964 21288420 23062455 24419070 27674946 30749940 31932630 41512419 46124910 48838140 55349892 63865260 69187365 83024838 92249820 138374730 166049676 207562095 276749460 415124190 830248380
- Sum of all divisors σ(n): 2981893824
- Sum of proper divisors (its aliquot sum) s(n): 2151645444
- 830248380 is an abundant number, because the sum of its proper divisors (2151645444) is greater than itself. Its abundance is 1321397064
Bases of 830248380
- Binary: 1100010111110010010101101111002
- Hexadecimal: 0x317C95BC
- Base-36: DQB3R0
Squares and roots of 830248380
- 830248380 squared (8302483802) is 689312372492624400
- 830248380 cubed (8302483803) is 572300480575957970048472000
-
The
square root of 830248380 is 28814.0309571569 -
The
cube root of 830248380 is 939.8733721083
Scales and comparisons
How big is 830248380?- 830,248,380 seconds is equal to 26 years, 20 weeks, 5 days, 8 hours, 33 minutes.
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To count from 1 to 830,248,380 would take you about thirty-nine 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 830248380 cubic inches would be around 78.3 feet tall.
Recreational maths with 830248380
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