329993664
329,993,664 is an even composite number composed of seven prime numbers multiplied together.
329993664 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 329993664:
26 × 3 × 7 × 11 × 13 × 17 × 101
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 11 × 13 × 17 × 101)See below for interesting mathematical facts about the number 329993664 from the Numbermatics database.
Names of 329993664
- Cardinal: 329993664 can be written as Three hundred twenty-nine million, nine hundred ninety-three thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 3.29993664 × 108
Factors of 329993664
Divisors of 329993664
- Number of divisors d(n): 448
-
Complete list of divisors:
1 2 3 4 6 7 8 11 12 13 14 16 17 21 22 24 26 28 32 33 34 39 42 44 48 51 52 56 64 66 68 77 78 84 88 91 96 101 102 104 112 119 132 136 143 154 156 168 176 182 187 192 202 204 208 221 224 231 238 264 272 273 286 303 308 312 336 352 357 364 374 404 408 416 429 442 448 462 476 528 544 546 561 572 606 616 624 663 672 704 707 714 728 748 808 816 832 858 884 924 952 1001 1056 1088 1092 1111 1122 1144 1212 1232 1248 1309 1313 1326 1344 1414 1428 1456 1496 1547 1616 1632 1716 1717 1768 1848 1904 2002 2112 2121 2184 2222 2244 2288 2424 2431 2464 2496 2618 2626 2652 2828 2856 2912 2992 3003 3094 3232 3264 3333 3432 3434 3536 3696 3808 3927 3939 4004 4242 4368 4444 4488 4576 4641 4848 4862 4928 5151 5236 5252 5304 5656 5712 5824 5984 6006 6188 6464 6666 6864 6868 7072 7293 7392 7616 7777 7854 7878 8008 8484 8736 8888 8976 9152 9191 9282 9696 9724 10302 10472 10504 10608 11312 11424 11968 12012 12019 12376 13332 13728 13736 14144 14443 14586 14784 15554 15708 15756 16016 16968 17017 17472 17776 17952 18382 18564 18887 19392 19448 20604 20944 21008 21216 22321 22624 22848 23331 24024 24038 24752 26664 27456 27472 27573 28886 29172 31108 31416 31512 32032 33936 34034 35552 35904 36057 36764 37128 37774 38896 41208 41888 42016 42432 43329 44642 45248 46662 48048 48076 49504 51051 53328 54944 55146 56661 57772 58344 62216 62832 63024 64064 66963 67872 68068 71104 72114 73528 74256 75548 77792 82416 83776 84032 86658 89284 93324 96096 96152 99008 101101 102102 106656 109888 110292 113322 115544 116688 124432 125664 126048 132209 133926 135744 136136 144228 147056 148512 151096 155584 156247 164832 173316 178568 186648 192192 192304 202202 204204 213312 220584 226644 231088 233376 245531 248864 251328 252096 264418 267852 272272 288456 294112 297024 302192 303303 312494 329664 346632 357136 373296 384608 396627 404404 408408 441168 453288 462176 466752 468741 491062 497728 528836 535704 544544 576912 588224 604384 606606 624988 693264 714272 736593 746592 769216 793254 808808 816816 882336 906576 924352 937482 982124 1057672 1071408 1089088 1153824 1208768 1213212 1249976 1386528 1428544 1473186 1493184 1586508 1617616 1633632 1718717 1764672 1813152 1874964 1964248 2115344 2142816 2307648 2426424 2499952 2773056 2946372 3173016 3235232 3267264 3437434 3626304 3749928 3928496 4230688 4285632 4852848 4999904 5156151 5892744 6346032 6470464 6874868 7499856 7856992 8461376 9705696 9999808 10312302 11785488 12692064 13749736 14999712 15713984 19411392 20624604 23570976 25384128 27499472 29999424 41249208 47141952 54998944 82498416 109997888 164996832 329993664
- Sum of all divisors σ(n): 1253532672
- Sum of proper divisors (its aliquot sum) s(n): 923539008
- 329993664 is an abundant number, because the sum of its proper divisors (923539008) is greater than itself. Its abundance is 593545344
Bases of 329993664
- Binary: 100111010101101001101110000002
- Hexadecimal: 0x13AB4DC0
- Base-36: 5GGWQO
Squares and roots of 329993664
- 329993664 squared (3299936642) is 108895818280144896
- 329993664 cubed (3299936643) is 35934930068543192681938944
-
The
square root of 329993664 is 18165.7277310875 -
The
cube root of 329993664 is 691.0379003019
Scales and comparisons
How big is 329993664?- 329,993,664 seconds is equal to 10 years, 25 weeks, 4 days, 8 hours, 54 minutes, 24 seconds.
-
To count from 1 to 329,993,664 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 329993664 cubic inches would be around 57.6 feet tall.
Recreational maths with 329993664
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 329993664 - Facts about the integer". Numbermatics.com. 2024. Web. 2 May 2024.
APA style:
Numbermatics. (2024). Number 329993664 - Facts about the integer. Retrieved 2 May 2024, from https://numbermatics.com/n/329993664/
Chicago style:
Numbermatics. 2024. "Number 329993664 - Facts about the integer". https://numbermatics.com/n/329993664/
The information we have on file for 329993664 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 329993664, math, Factors of 329993664, curriculum, school, college, exams, university, Prime factorization of 329993664, STEM, science, technology, engineering, physics, economics, calculator, three hundred twenty-nine million, nine hundred ninety-three thousand, six hundred sixty-four.