385351200
385,351,200 is an even composite number composed of six prime numbers multiplied together.
What does the number 385351200 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 432 divisors.
385351200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 385351200:
25 × 32 × 52 × 13 × 23 × 179
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 13 × 23 × 179)See below for interesting mathematical facts about the number 385351200 from the Numbermatics database.
Names of 385351200
- Cardinal: 385351200 can be written as Three hundred eighty-five million, three hundred fifty-one thousand, two hundred.
Scientific notation
- Scientific notation: 3.853512 × 108
Factors of 385351200
Divisors of 385351200
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 23 24 25 26 30 32 36 39 40 45 46 48 50 52 60 65 69 72 75 78 80 90 92 96 100 104 115 117 120 130 138 144 150 156 160 179 180 184 195 200 207 208 225 230 234 240 260 276 288 299 300 312 325 345 358 360 368 390 400 414 416 450 460 468 480 520 537 552 575 585 598 600 624 650 690 716 720 736 780 800 828 895 897 900 920 936 975 1035 1040 1074 1104 1150 1170 1196 1200 1248 1300 1380 1432 1440 1495 1560 1611 1656 1725 1790 1794 1800 1840 1872 1950 2070 2080 2148 2208 2300 2327 2340 2392 2400 2600 2685 2691 2760 2864 2925 2990 3120 3222 3312 3450 3580 3588 3600 3680 3744 3900 4117 4140 4296 4475 4485 4600 4654 4680 4784 5175 5200 5370 5382 5520 5728 5850 5980 6240 6444 6624 6900 6981 7160 7176 7200 7475 7800 8055 8234 8280 8592 8950 8970 9200 9308 9360 9568 10350 10400 10740 10764 11040 11635 11700 11960 12351 12888 13425 13455 13800 13962 14320 14352 14950 15600 16110 16468 16560 17184 17900 17940 18400 18616 18720 20585 20700 20943 21480 21528 22425 23270 23400 23920 24702 25776 26850 26910 27600 27924 28640 28704 29900 31200 32220 32936 33120 34905 35800 35880 37053 37232 40275 41170 41400 41886 42960 43056 44850 46540 46800 47840 49404 51552 53521 53700 53820 55200 55848 58175 59800 61755 64440 65872 67275 69810 71600 71760 74106 74464 80550 82340 82800 83772 85920 86112 89700 93080 93600 98808 102925 104715 107042 107400 107640 111696 116350 119600 123510 128880 131744 134550 139620 143200 143520 148212 160563 161100 164680 165600 167544 174525 179400 185265 186160 197616 205850 209430 214084 214800 215280 223392 232700 239200 247020 257760 267605 269100 279240 296424 308775 321126 322200 329360 335088 349050 358800 370530 372320 395232 411700 418860 428168 429600 430560 465400 481689 494040 523575 535210 538200 558480 592848 617550 642252 644400 658720 670176 698100 717600 741060 802815 823400 837720 856336 926325 930800 963378 988080 1047150 1070420 1076400 1116960 1185696 1235100 1284504 1288800 1338025 1396200 1482120 1605630 1646800 1675440 1712672 1852650 1861600 1926756 1976160 2094300 2140840 2152800 2408445 2470200 2569008 2676050 2792400 2964240 3211260 3293600 3350880 3705300 3853512 4014075 4188600 4281680 4816890 4940400 5138016 5352100 5584800 5928480 6422520 7410600 7707024 8028150 8377200 8563360 9633780 9880800 10704200 12042225 12845040 14821200 15414048 16056300 16754400 19267560 21408400 24084450 25690080 29642400 32112600 38535120 42816800 48168900 64225200 77070240 96337800 128450400 192675600 385351200
- Sum of all divisors σ(n): 1535526720
- Sum of proper divisors (its aliquot sum) s(n): 1150175520
- 385351200 is an abundant number, because the sum of its proper divisors (1150175520) is greater than itself. Its abundance is 764824320
Bases of 385351200
- Binary: 101101111011111111110001000002
- Hexadecimal: 0x16F7FE20
- Base-36: 6DFEW0
Squares and roots of 385351200
- 385351200 squared (3853512002) is 148495547341440000
- 385351200 cubed (3853512003) is 57222937362680713728000000
-
The
square root of 385351200 is 19630.3642350315 -
The
cube root of 385351200 is 727.6997715451
Scales and comparisons
How big is 385351200?- 385,351,200 seconds is equal to 12 years, 13 weeks, 1 day, 2 hours.
-
To count from 1 to 385,351,200 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 385351200 cubic inches would be around 60.6 feet tall.
Recreational maths with 385351200
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