385466400
385,466,400 is an even composite number composed of six prime numbers multiplied together.
385466400 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 385466400:
25 × 32 × 52 × 11 × 31 × 157
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 11 × 31 × 157)See below for interesting mathematical facts about the number 385466400 from the Numbermatics database.
Names of 385466400
- Cardinal: 385466400 can be written as Three hundred eighty-five million, four hundred sixty-six thousand, four hundred.
Scientific notation
- Scientific notation: 3.854664 × 108
Factors of 385466400
Divisors of 385466400
- Number of divisors d(n): 432
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 30 31 32 33 36 40 44 45 48 50 55 60 62 66 72 75 80 88 90 93 96 99 100 110 120 124 132 144 150 155 157 160 165 176 180 186 198 200 220 225 240 248 264 275 279 288 300 310 314 330 341 352 360 372 396 400 440 450 465 471 480 495 496 528 550 558 600 620 628 660 682 720 744 775 785 792 800 825 880 900 930 942 990 992 1023 1056 1100 1116 1200 1240 1256 1320 1364 1395 1413 1440 1488 1550 1570 1584 1650 1705 1727 1760 1800 1860 1884 1980 2046 2200 2232 2325 2355 2400 2475 2480 2512 2640 2728 2790 2826 2976 3069 3100 3140 3168 3300 3410 3454 3600 3720 3768 3925 3960 4092 4400 4464 4650 4710 4867 4950 4960 5024 5115 5181 5280 5456 5580 5652 6138 6200 6280 6600 6820 6908 6975 7065 7200 7440 7536 7850 7920 8184 8525 8635 8800 8928 9300 9420 9734 9900 10230 10362 10912 11160 11304 11775 12276 12400 12560 13200 13640 13816 13950 14130 14601 14880 15072 15345 15543 15700 15840 16368 17050 17270 18600 18840 19468 19800 20460 20724 22320 22608 23550 24335 24552 24800 25120 25575 25905 26400 27280 27632 27900 28260 29202 30690 31086 31400 32736 34100 34540 35325 37200 37680 38936 39600 40920 41448 43175 43803 44640 45216 47100 48670 49104 51150 51810 53537 54560 55264 55800 56520 58404 61380 62172 62800 68200 69080 70650 73005 74400 75360 76725 77715 77872 79200 81840 82896 86350 87606 94200 97340 98208 102300 103620 107074 111600 113040 116808 121675 122760 124344 125600 129525 136400 138160 141300 146010 153450 155430 155744 160611 163680 165792 172700 175212 188400 194680 204600 207240 214148 219015 223200 226080 233616 243350 245520 248688 259050 267685 272800 276320 282600 292020 306900 310860 321222 345400 350424 365025 376800 388575 389360 409200 414480 428296 438030 467232 481833 486700 491040 497376 518100 535370 565200 584040 613800 621720 642444 690800 700848 730050 777150 778720 803055 818400 828960 856592 876060 963666 973400 1036200 1070740 1095075 1130400 1168080 1227600 1243440 1284888 1338425 1381600 1401696 1460100 1554300 1606110 1713184 1752120 1927332 1946800 2072400 2141480 2190150 2336160 2409165 2455200 2486880 2569776 2676850 2920200 3108600 3212220 3504240 3854664 3893600 4015275 4144800 4282960 4380300 4818330 5139552 5353700 5840400 6217200 6424440 7008480 7709328 8030550 8565920 8760600 9636660 10707400 11680800 12045825 12434400 12848880 15418656 16061100 17521200 19273320 21414800 24091650 25697760 32122200 35042400 38546640 42829600 48183300 64244400 77093280 96366600 128488800 192733200 385466400
- Sum of all divisors σ(n): 1540401408
- Sum of proper divisors (its aliquot sum) s(n): 1154935008
- 385466400 is an abundant number, because the sum of its proper divisors (1154935008) is greater than itself. Its abundance is 769468608
Bases of 385466400
- Binary: 101101111100111000000001000002
- Hexadecimal: 0x16F9C020
- Base-36: 6DHVS0
Squares and roots of 385466400
- 385466400 squared (3854664002) is 148584345528960000
- 385466400 cubed (3854664003) is 57274272767404306944000000
-
The
square root of 385466400 is 19633.2982455825 -
The
cube root of 385466400 is 727.7722791359
Scales and comparisons
How big is 385466400?- 385,466,400 seconds is equal to 12 years, 13 weeks, 2 days, 10 hours.
-
To count from 1 to 385,466,400 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 385466400 cubic inches would be around 60.6 feet tall.
Recreational maths with 385466400
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