378428960
378,428,960 is an even composite number composed of six prime numbers multiplied together.
378428960 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 378428960:
25 × 5 × 72 × 13 × 47 × 79
(2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 13 × 47 × 79)See below for interesting mathematical facts about the number 378428960 from the Numbermatics database.
Names of 378428960
- Cardinal: 378428960 can be written as Three hundred seventy-eight million, four hundred twenty-eight thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 3.7842896 × 108
Factors of 378428960
Divisors of 378428960
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 47 49 52 56 65 70 79 80 91 94 98 104 112 130 140 158 160 182 188 196 208 224 235 245 260 280 316 329 364 376 392 395 416 455 470 490 520 553 560 611 632 637 658 728 752 784 790 910 940 980 1027 1040 1106 1120 1222 1264 1274 1316 1456 1504 1568 1580 1645 1820 1880 1960 2054 2080 2212 2303 2444 2528 2548 2632 2765 2912 3055 3160 3185 3290 3640 3713 3760 3871 3920 4108 4277 4424 4606 4888 5096 5135 5264 5530 6110 6320 6370 6580 7189 7280 7426 7520 7742 7840 8216 8554 8848 9212 9776 10192 10270 10528 11060 11515 12220 12640 12740 13160 14378 14560 14852 15484 16432 17108 17696 18424 18565 19355 19552 20384 20540 21385 22120 23030 24440 25480 25991 26320 28756 29704 29939 30968 32864 34216 35945 36848 37130 38710 41080 42770 44240 46060 48269 48880 50323 50960 51982 52640 57512 59408 59878 61936 68432 71890 73696 74260 77420 82160 85540 88480 92120 96538 97760 100646 101920 103964 115024 118816 119756 123872 129955 136864 143780 148520 149695 154840 164320 171080 181937 184240 193076 201292 207928 230048 239512 241345 251615 259910 287560 297040 299390 309680 337883 342160 363874 368480 386152 402584 415856 479024 482690 503230 519820 575120 594080 598780 619360 675766 684320 727748 772304 805168 831712 909685 958048 965380 1006460 1039640 1150240 1197560 1351532 1455496 1544608 1610336 1689415 1819370 1930760 2012920 2079280 2365181 2395120 2703064 2910992 3378830 3638740 3861520 4025840 4158560 4730362 4790240 5406128 5821984 6757660 7277480 7723040 8051680 9460724 10812256 11825905 13515320 14554960 18921448 23651810 27030640 29109920 37842896 47303620 54061280 75685792 94607240 189214480 378428960
- Sum of all divisors σ(n): 1158312960
- Sum of proper divisors (its aliquot sum) s(n): 779884000
- 378428960 is an abundant number, because the sum of its proper divisors (779884000) is greater than itself. Its abundance is 401455040
Bases of 378428960
- Binary: 101101000111001011110001000002
- Hexadecimal: 0x168E5E20
- Base-36: 69B1NK
Squares and roots of 378428960
- 378428960 squared (3784289602) is 143208477766681600
- 378428960 cubed (3784289603) is 54194235304428440539136000
-
The
square root of 378428960 is 19453.2506281085 -
The
cube root of 378428960 is 723.3160823727
Scales and comparisons
How big is 378428960?- 378,428,960 seconds is equal to 12 years, 1 week, 4 days, 23 hours, 9 minutes, 20 seconds.
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To count from 1 to 378,428,960 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 378428960 cubic inches would be around 60.3 feet tall.
Recreational maths with 378428960
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