385106400
385,106,400 is an even composite number composed of five prime numbers multiplied together.
385106400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 385106400:
25 × 35 × 52 × 7 × 283
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 283)See below for interesting mathematical facts about the number 385106400 from the Numbermatics database.
Names of 385106400
- Cardinal: 385106400 can be written as Three hundred eighty-five million, one hundred six thousand, four hundred.
Scientific notation
- Scientific notation: 3.851064 × 108
Factors of 385106400
Divisors of 385106400
- Number of divisors d(n): 432
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 50 54 56 60 63 70 72 75 80 81 84 90 96 100 105 108 112 120 126 135 140 144 150 160 162 168 175 180 189 200 210 216 224 225 240 243 252 270 280 283 288 300 315 324 336 350 360 378 400 405 420 432 450 480 486 504 525 540 560 566 567 600 630 648 672 675 700 720 756 800 810 840 849 864 900 945 972 1008 1050 1080 1120 1132 1134 1200 1215 1260 1296 1350 1400 1415 1440 1512 1575 1620 1680 1698 1701 1800 1890 1944 1981 2016 2025 2100 2160 2264 2268 2400 2430 2520 2547 2592 2700 2800 2830 2835 3024 3150 3240 3360 3396 3402 3600 3780 3888 3962 4050 4200 4245 4320 4528 4536 4725 4860 5040 5094 5400 5600 5660 5670 5943 6048 6075 6300 6480 6792 6804 7075 7200 7560 7641 7776 7924 8100 8400 8490 8505 9056 9072 9450 9720 9905 10080 10188 10800 11320 11340 11886 12150 12600 12735 12960 13584 13608 14150 14175 15120 15282 15848 16200 16800 16980 17010 17829 18144 18900 19440 19810 20376 21225 21600 22640 22680 22923 23772 24300 25200 25470 27168 27216 28300 28350 29715 30240 30564 31696 32400 33960 34020 35658 37800 38205 38880 39620 40752 42450 42525 45280 45360 45846 47544 48600 49525 50400 50940 53487 54432 56600 56700 59430 61128 63392 63675 64800 67920 68040 68769 71316 75600 76410 79240 81504 84900 85050 89145 90720 91692 95088 97200 99050 101880 106974 113200 113400 114615 118860 122256 127350 135840 136080 137538 142632 148575 151200 152820 158480 160461 169800 170100 178290 183384 190176 191025 194400 198100 203760 213948 226400 226800 229230 237720 244512 254700 267435 272160 275076 285264 297150 305640 316960 320922 339600 340200 343845 356580 366768 382050 396200 407520 427896 445725 453600 458460 475440 481383 509400 534870 550152 570528 573075 594300 611280 641844 679200 680400 687690 713160 733536 764100 792400 802305 855792 891450 916920 950880 962766 1018800 1069740 1100304 1146150 1188600 1222560 1283688 1337175 1360800 1375380 1426320 1528200 1584800 1604610 1711584 1719225 1782900 1833840 1925532 2037600 2139480 2200608 2292300 2377200 2406915 2567376 2674350 2750760 2852640 3056400 3209220 3438450 3565800 3667680 3851064 4011525 4278960 4584600 4754400 4813830 5134752 5348700 5501520 6112800 6418440 6876900 7131600 7702128 8023050 8557920 9169200 9627660 10697400 11003040 12034575 12836880 13753800 14263200 15404256 16046100 18338400 19255320 21394800 24069150 25673760 27507600 32092200 38510640 42789600 48138300 55015200 64184400 77021280 96276600 128368800 192553200 385106400
- Sum of all divisors σ(n): 1615146624
- Sum of proper divisors (its aliquot sum) s(n): 1230040224
- 385106400 is an abundant number, because the sum of its proper divisors (1230040224) is greater than itself. Its abundance is 844933824
Bases of 385106400
- Binary: 101101111010001000001111000002
- Hexadecimal: 0x16F441E0
- Base-36: 6DA600
Squares and roots of 385106400
- 385106400 squared (3851064002) is 148306939320960000
- 385106400 cubed (3851064003) is 57113951496913350144000000
-
The
square root of 385106400 is 19624.1280061051 -
The
cube root of 385106400 is 727.5456449203
Scales and comparisons
How big is 385106400?- 385,106,400 seconds is equal to 12 years, 12 weeks, 5 days, 6 hours.
-
To count from 1 to 385,106,400 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 385106400 cubic inches would be around 60.6 feet tall.
Recreational maths with 385106400
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