328080480
328,080,480 is an even composite number composed of seven prime numbers multiplied together.
328080480 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 328080480:
25 × 3 × 5 × 72 × 13 × 29 × 37
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 13 × 29 × 37)See below for interesting mathematical facts about the number 328080480 from the Numbermatics database.
Names of 328080480
- Cardinal: 328080480 can be written as Three hundred twenty-eight million, eighty thousand, four hundred eighty.
Scientific notation
- Scientific notation: 3.2808048 × 108
Factors of 328080480
Divisors of 328080480
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 29 30 32 35 37 39 40 42 48 49 52 56 58 60 65 70 74 78 80 84 87 91 96 98 104 105 111 112 116 120 130 140 145 147 148 156 160 168 174 182 185 195 196 203 208 210 222 224 232 240 245 259 260 273 280 290 294 296 312 336 348 364 370 377 390 392 406 416 420 435 444 455 464 480 481 490 518 520 546 555 560 580 588 592 609 624 637 672 696 728 735 740 754 777 780 784 812 840 870 888 910 928 962 980 1015 1036 1040 1073 1092 1110 1120 1131 1160 1176 1184 1218 1248 1274 1295 1365 1392 1421 1443 1456 1470 1480 1508 1554 1560 1568 1624 1680 1740 1776 1813 1820 1885 1911 1924 1960 2030 2072 2080 2146 2184 2220 2262 2320 2352 2405 2436 2548 2590 2639 2730 2784 2842 2886 2912 2940 2960 3016 3045 3108 3120 3185 3219 3248 3360 3367 3480 3552 3626 3640 3770 3822 3848 3885 3920 4060 4144 4263 4292 4368 4440 4524 4640 4704 4810 4872 5096 5180 5278 5365 5439 5460 5655 5684 5772 5880 5920 6032 6090 6216 6240 6370 6438 6496 6734 6960 7105 7215 7252 7280 7511 7540 7644 7696 7770 7840 7917 8120 8288 8526 8584 8736 8880 9048 9065 9555 9620 9744 10101 10192 10360 10556 10730 10878 10920 11310 11368 11544 11760 12064 12180 12432 12740 12876 13195 13468 13920 13949 14210 14430 14504 14560 15022 15080 15288 15392 15540 15834 16095 16240 16835 17052 17168 17760 18096 18130 18473 19110 19240 19488 20202 20384 20720 21112 21315 21460 21756 21840 22533 22620 22736 23088 23520 23569 24360 24864 25480 25752 26390 26936 27195 27898 28420 28860 29008 30044 30160 30576 31080 31668 32190 32480 33670 34104 34336 36192 36260 36946 37555 38220 38480 39585 40404 41440 41847 42224 42630 42920 43512 43680 45066 45240 45472 46176 47138 48720 50505 50960 51504 52577 52780 53872 54390 55419 55796 56840 57720 58016 60088 60320 61152 62160 63336 64380 67340 68208 69745 70707 72520 73892 75110 76440 76960 79170 80808 83694 84448 85260 85840 87024 90132 90480 92365 94276 97440 97643 101010 101920 103008 105154 105560 107744 108780 110838 111592 112665 113680 115440 117845 120176 124320 126672 128760 134680 136416 139490 141414 145040 147784 150220 152880 157731 158340 161616 167388 170520 171680 174048 180264 180960 184730 188552 195286 202020 209235 210308 211120 217560 221676 223184 225330 227360 230880 235690 240352 253344 257520 262885 269360 277095 278980 282828 290080 292929 295568 300440 305760 315462 316680 323232 334776 341040 353535 360528 369460 377104 390572 404040 418470 420616 422240 435120 443352 446368 450660 471380 488215 515040 525770 538720 554190 557960 565656 585858 591136 600880 630924 633360 669552 682080 683501 707070 721056 738920 754208 781144 788655 808080 836940 841232 870240 886704 901320 942760 976430 1051540 1108380 1115920 1131312 1171716 1201760 1261848 1266720 1339104 1367002 1414140 1464645 1477840 1562288 1577310 1616160 1673880 1682464 1773408 1802640 1885520 1952860 2050503 2103080 2216760 2231840 2262624 2343432 2523696 2734004 2828280 2929290 2955680 3124576 3154620 3347760 3417505 3605280 3771040 3905720 4101006 4206160 4433520 4686864 5047392 5468008 5656560 5858580 6309240 6695520 6835010 7811440 8202012 8412320 8867040 9373728 10252515 10936016 11313120 11717160 12618480 13670020 15622880 16404024 20505030 21872032 23434320 25236960 27340040 32808048 41010060 46868640 54680080 65616096 82020120 109360160 164040240 328080480
- Sum of all divisors σ(n): 1375496640
- Sum of proper divisors (its aliquot sum) s(n): 1047416160
- 328080480 is an abundant number, because the sum of its proper divisors (1047416160) is greater than itself. Its abundance is 719335680
Bases of 328080480
- Binary: 100111000111000011100011000002
- Hexadecimal: 0x138E1C60
- Base-36: 5FBWIO
Squares and roots of 328080480
- 328080480 squared (3280804802) is 107636801357030400
- 328080480 cubed (3280804803) is 35313533454879185006592000
-
The
square root of 328080480 is 18112.9920223027 -
The
cube root of 328080480 is 689.6998484483
Scales and comparisons
How big is 328080480?- 328,080,480 seconds is equal to 10 years, 22 weeks, 3 days, 5 hours, 28 minutes.
-
To count from 1 to 328,080,480 would take you about fifteen 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 328080480 cubic inches would be around 57.5 feet tall.
Recreational maths with 328080480
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 328080480 - Facts about the integer". Numbermatics.com. 2024. Web. 1 May 2024.
APA style:
Numbermatics. (2024). Number 328080480 - Facts about the integer. Retrieved 1 May 2024, from https://numbermatics.com/n/328080480/
Chicago style:
Numbermatics. 2024. "Number 328080480 - Facts about the integer". https://numbermatics.com/n/328080480/
The information we have on file for 328080480 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 328080480, math, Factors of 328080480, curriculum, school, college, exams, university, Prime factorization of 328080480, STEM, science, technology, engineering, physics, economics, calculator, three hundred twenty-eight million, eighty thousand, four hundred eighty.