388428480
388,428,480 is an even composite number composed of six prime numbers multiplied together.
388428480 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 388428480:
26 × 33 × 5 × 11 × 61 × 67
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 11 × 61 × 67)See below for interesting mathematical facts about the number 388428480 from the Numbermatics database.
Names of 388428480
- Cardinal: 388428480 can be written as Three hundred eighty-eight million, four hundred twenty-eight thousand, four hundred eighty.
Scientific notation
- Scientific notation: 3.8842848 × 108
Factors of 388428480
Divisors of 388428480
- Number of divisors d(n): 448
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 32 33 36 40 44 45 48 54 55 60 61 64 66 67 72 80 88 90 96 99 108 110 120 122 132 134 135 144 160 165 176 180 183 192 198 201 216 220 240 244 264 268 270 288 297 305 320 330 335 352 360 366 396 402 432 440 480 488 495 528 536 540 549 576 594 603 610 660 670 671 704 720 732 737 792 804 864 880 915 960 976 990 1005 1056 1072 1080 1098 1188 1206 1220 1320 1340 1342 1440 1464 1474 1485 1584 1608 1647 1728 1760 1809 1830 1952 1980 2010 2013 2112 2144 2160 2196 2211 2376 2412 2440 2640 2680 2684 2745 2880 2928 2948 2970 3015 3168 3216 3294 3355 3520 3618 3660 3685 3904 3960 4020 4026 4087 4288 4320 4392 4422 4752 4824 4880 5280 5360 5368 5490 5856 5896 5940 6030 6039 6336 6432 6588 6633 6710 7236 7320 7370 7920 8040 8052 8174 8235 8640 8784 8844 9045 9504 9648 9760 10065 10560 10720 10736 10980 11055 11712 11792 11880 12060 12078 12261 12864 13176 13266 13420 14472 14640 14740 15840 16080 16104 16348 16470 17568 17688 18090 18117 19008 19296 19520 19899 20130 20435 21440 21472 21960 22110 23584 23760 24120 24156 24522 26352 26532 26840 28944 29280 29480 30195 31680 32160 32208 32696 32940 33165 35136 35376 36180 36234 36783 38592 39798 40260 40870 42944 43920 44220 44957 47168 47520 48240 48312 49044 52704 53064 53680 57888 58560 58960 60390 61305 64320 64416 65392 65880 66330 70752 72360 72468 73566 79596 80520 81740 87840 88440 89914 90585 95040 96480 96624 98088 99495 105408 106128 107360 110349 115776 117920 120780 122610 128832 130784 131760 132660 134871 141504 144720 144936 147132 159192 161040 163480 175680 176880 179828 181170 183915 192960 193248 196176 198990 212256 214720 220698 224785 235840 241560 245220 261568 263520 265320 269742 289440 289872 294264 318384 322080 326960 353760 359656 362340 367830 386496 392352 397980 404613 424512 441396 449570 483120 490440 527040 530640 539484 551745 578880 579744 588528 636768 644160 653920 674355 707520 719312 724680 735660 784704 795960 809226 882792 899140 966240 980880 1061280 1078968 1103490 1159488 1177056 1213839 1273536 1307840 1348710 1438624 1449360 1471320 1591920 1618452 1765584 1798280 1932480 1961760 2023065 2122560 2157936 2206980 2354112 2427678 2697420 2877248 2898720 2942640 3183840 3236904 3531168 3596560 3923520 4046130 4315872 4413960 4855356 5394840 5797440 5885280 6069195 6367680 6473808 7062336 7193120 8092260 8631744 8827920 9710712 10789680 11770560 12138390 12947616 14386240 16184520 17655840 19421424 21579360 24276780 25895232 32369040 35311680 38842848 43158720 48553560 64738080 77685696 97107120 129476160 194214240 388428480
- Sum of all divisors σ(n): 1542044160
- Sum of proper divisors (its aliquot sum) s(n): 1153615680
- 388428480 is an abundant number, because the sum of its proper divisors (1153615680) is greater than itself. Its abundance is 765187200
Bases of 388428480
- Binary: 101110010011011110010110000002
- Hexadecimal: 0x1726F2C0
- Base-36: 6F9DC0
Squares and roots of 388428480
- 388428480 squared (3884284802) is 150876684075110400
- 388428480 cubed (3884284803) is 58604801062735338504192000
-
The
square root of 388428480 is 19708.5889905897 -
The
cube root of 388428480 is 729.6316901055
Scales and comparisons
How big is 388428480?- 388,428,480 seconds is equal to 12 years, 18 weeks, 1 day, 16 hours, 48 minutes.
-
To count from 1 to 388,428,480 would take you about eighteen 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 388428480 cubic inches would be around 60.8 feet tall.
Recreational maths with 388428480
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