338028768
338,028,768 is an even composite number composed of five prime numbers multiplied together.
338028768 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 338028768:
25 × 33 × 7 × 11 × 5081
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 11 × 5081)See below for interesting mathematical facts about the number 338028768 from the Numbermatics database.
Names of 338028768
- Cardinal: 338028768 can be written as Three hundred thirty-eight million, twenty-eight thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 3.38028768 × 108
Factors of 338028768
Divisors of 338028768
- Number of divisors d(n): 192
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 32 33 36 42 44 48 54 56 63 66 72 77 84 88 96 99 108 112 126 132 144 154 168 176 189 198 216 224 231 252 264 288 297 308 336 352 378 396 432 462 504 528 594 616 672 693 756 792 864 924 1008 1056 1188 1232 1386 1512 1584 1848 2016 2079 2376 2464 2772 3024 3168 3696 4158 4752 5081 5544 6048 7392 8316 9504 10162 11088 15243 16632 20324 22176 30486 33264 35567 40648 45729 55891 60972 66528 71134 81296 91458 106701 111782 121944 137187 142268 162592 167673 182916 213402 223564 243888 274374 284536 320103 335346 365832 391237 426804 447128 487776 503019 548748 569072 640206 670692 731664 782474 853608 894256 960309 1006038 1097496 1138144 1173711 1280412 1341384 1463328 1509057 1564948 1707216 1788512 1920618 2012076 2194992 2347422 2560824 2682768 3018114 3129896 3414432 3521133 3841236 4024152 4389984 4694844 5121648 5365536 6036228 6259792 7042266 7682472 8048304 9389688 10243296 10563399 12072456 12519584 14084532 15364944 16096608 18779376 21126798 24144912 28169064 30729888 37558752 42253596 48289824 56338128 84507192 112676256 169014384 338028768
- Sum of all divisors σ(n): 1229437440
- Sum of proper divisors (its aliquot sum) s(n): 891408672
- 338028768 is an abundant number, because the sum of its proper divisors (891408672) is greater than itself. Its abundance is 553379904
Bases of 338028768
- Binary: 101000010010111101000111000002
- Hexadecimal: 0x1425E8E0
- Base-36: 5L94O0
Squares and roots of 338028768
- 338028768 squared (3380287682) is 114263447995597824
- 338028768 cubed (3380287683) is 38624332553384001870200832
-
The
square root of 338028768 is 18385.5586806603 -
The
cube root of 338028768 is 696.6017388215
Scales and comparisons
How big is 338028768?- 338,028,768 seconds is equal to 10 years, 38 weeks, 6 days, 8 hours, 52 minutes, 48 seconds.
-
To count from 1 to 338,028,768 would take you about sixteen 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 338028768 cubic inches would be around 58.1 feet tall.
Recreational maths with 338028768
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