328007680
328,007,680 is an even composite number composed of five prime numbers multiplied together.
328007680 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred seventy-two divisors.
Prime factorization of 328007680:
216 × 5 × 7 × 11 × 13
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 11 × 13)See below for interesting mathematical facts about the number 328007680 from the Numbermatics database.
Names of 328007680
- Cardinal: 328007680 can be written as Three hundred twenty-eight million, seven thousand, six hundred eighty.
Scientific notation
- Scientific notation: 3.2800768 × 108
Factors of 328007680
Divisors of 328007680
- Number of divisors d(n): 272
-
Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 16 20 22 26 28 32 35 40 44 52 55 56 64 65 70 77 80 88 91 104 110 112 128 130 140 143 154 160 176 182 208 220 224 256 260 280 286 308 320 352 364 385 416 440 448 455 512 520 560 572 616 640 704 715 728 770 832 880 896 910 1001 1024 1040 1120 1144 1232 1280 1408 1430 1456 1540 1664 1760 1792 1820 2002 2048 2080 2240 2288 2464 2560 2816 2860 2912 3080 3328 3520 3584 3640 4004 4096 4160 4480 4576 4928 5005 5120 5632 5720 5824 6160 6656 7040 7168 7280 8008 8192 8320 8960 9152 9856 10010 10240 11264 11440 11648 12320 13312 14080 14336 14560 16016 16384 16640 17920 18304 19712 20020 20480 22528 22880 23296 24640 26624 28160 28672 29120 32032 32768 33280 35840 36608 39424 40040 40960 45056 45760 46592 49280 53248 56320 57344 58240 64064 65536 66560 71680 73216 78848 80080 81920 90112 91520 93184 98560 106496 112640 114688 116480 128128 133120 143360 146432 157696 160160 163840 180224 183040 186368 197120 212992 225280 229376 232960 256256 266240 286720 292864 315392 320320 327680 360448 366080 372736 394240 425984 450560 458752 465920 512512 532480 573440 585728 630784 640640 720896 732160 745472 788480 851968 901120 931840 1025024 1064960 1146880 1171456 1261568 1281280 1464320 1490944 1576960 1802240 1863680 2050048 2129920 2293760 2342912 2523136 2562560 2928640 2981888 3153920 3604480 3727360 4100096 4259840 4685824 5046272 5125120 5857280 5963776 6307840 7454720 8200192 9371648 10250240 11714560 12615680 14909440 16400384 20500480 23429120 25231360 29818880 32800768 41000960 46858240 65601536 82001920 164003840 328007680
- Sum of all divisors σ(n): 1056956544
- Sum of proper divisors (its aliquot sum) s(n): 728948864
- 328007680 is an abundant number, because the sum of its proper divisors (728948864) is greater than itself. Its abundance is 400941184
Bases of 328007680
- Binary: 100111000110100000000000000002
- Hexadecimal: 0x138D0000
- Base-36: 5FACCG
Squares and roots of 328007680
- 328007680 squared (3280076802) is 107589038138982400
- 328007680 cubed (3280076803) is 35290030793399134584832000
-
The
square root of 328007680 is 18110.9823035639 -
The
cube root of 328007680 is 689.6488306175
Scales and comparisons
How big is 328007680?- 328,007,680 seconds is equal to 10 years, 22 weeks, 2 days, 9 hours, 14 minutes, 40 seconds.
-
To count from 1 to 328,007,680 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 328007680 cubic inches would be around 57.5 feet tall.
Recreational maths with 328007680
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 328007680 - Facts about the integer". Numbermatics.com. 2024. Web. 16 May 2024.
APA style:
Numbermatics. (2024). Number 328007680 - Facts about the integer. Retrieved 16 May 2024, from https://numbermatics.com/n/328007680/
Chicago style:
Numbermatics. 2024. "Number 328007680 - Facts about the integer". https://numbermatics.com/n/328007680/
The information we have on file for 328007680 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 328007680, math, Factors of 328007680, curriculum, school, college, exams, university, Prime factorization of 328007680, STEM, science, technology, engineering, physics, economics, calculator, three hundred twenty-eight million, seven thousand, six hundred eighty.