380689920
380,689,920 is an even composite number composed of six prime numbers multiplied together.
380689920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 380689920:
29 × 32 × 5 × 13 × 31 × 41
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 31 × 41)See below for interesting mathematical facts about the number 380689920 from the Numbermatics database.
Names of 380689920
- Cardinal: 380689920 can be written as Three hundred eighty million, six hundred eighty-nine thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 3.8068992 × 108
Factors of 380689920
Divisors of 380689920
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 31 32 36 39 40 41 45 48 52 60 62 64 65 72 78 80 82 90 93 96 104 117 120 123 124 128 130 144 155 156 160 164 180 186 192 195 205 208 234 240 246 248 256 260 279 288 310 312 320 328 360 369 372 384 390 403 410 416 465 468 480 492 496 512 520 533 558 576 585 615 620 624 640 656 720 738 744 768 780 806 820 832 930 936 960 984 992 1040 1066 1116 1152 1170 1209 1230 1240 1248 1271 1280 1312 1395 1440 1476 1488 1536 1560 1599 1612 1640 1664 1845 1860 1872 1920 1968 1984 2015 2080 2132 2232 2304 2340 2418 2460 2480 2496 2542 2560 2624 2665 2790 2880 2952 2976 3120 3198 3224 3280 3328 3627 3690 3720 3744 3813 3840 3936 3968 4030 4160 4264 4464 4608 4680 4797 4836 4920 4960 4992 5084 5248 5330 5580 5760 5904 5952 6045 6240 6355 6396 6448 6560 6656 7254 7380 7440 7488 7626 7680 7872 7936 7995 8060 8320 8528 8928 9360 9594 9672 9840 9920 9984 10168 10496 10660 11160 11439 11520 11808 11904 12090 12480 12710 12792 12896 13120 14508 14760 14880 14976 15252 15744 15872 15990 16120 16523 16640 17056 17856 18135 18720 19065 19188 19344 19680 19840 19968 20336 20992 21320 22320 22878 23040 23616 23808 23985 24180 24960 25420 25584 25792 26240 29016 29520 29760 29952 30504 31488 31980 32240 33046 33280 34112 35712 36270 37440 38130 38376 38688 39360 39680 40672 42640 44640 45756 47232 47616 47970 48360 49569 49920 50840 51168 51584 52480 57195 58032 59040 59520 59904 61008 62976 63960 64480 66092 68224 71424 72540 74880 76260 76752 77376 78720 79360 81344 82615 85280 89280 91512 94464 95940 96720 99138 99840 101680 102336 103168 104960 114390 116064 118080 119040 122016 127920 128960 132184 136448 142848 145080 148707 149760 152520 153504 154752 157440 162688 165230 170560 178560 183024 188928 191880 193440 198276 203360 204672 206336 228780 232128 236160 238080 244032 247845 255840 257920 264368 272896 290160 297414 299520 305040 307008 309504 314880 325376 330460 341120 357120 366048 383760 386880 396552 406720 409344 457560 464256 472320 488064 495690 511680 515840 528736 580320 594828 610080 614016 619008 650752 660920 682240 714240 732096 743535 767520 773760 793104 813440 818688 915120 928512 944640 976128 991380 1023360 1031680 1057472 1160640 1189656 1220160 1228032 1321840 1364480 1464192 1487070 1535040 1547520 1586208 1626880 1830240 1857024 1952256 1982760 2046720 2114944 2321280 2379312 2440320 2456064 2643680 2928384 2974140 3070080 3095040 3172416 3253760 3660480 3965520 4093440 4229888 4642560 4758624 4880640 5287360 5856768 5948280 6140160 6344832 7320960 7931040 8459776 9285120 9517248 9761280 10574720 11896560 12280320 12689664 14641920 15862080 19034496 21149440 23793120 25379328 29283840 31724160 38068992 42298880 47586240 63448320 76137984 95172480 126896640 190344960 380689920
- Sum of all divisors σ(n): 1501403904
- Sum of proper divisors (its aliquot sum) s(n): 1120713984
- 380689920 is an abundant number, because the sum of its proper divisors (1120713984) is greater than itself. Its abundance is 740024064
Bases of 380689920
- Binary: 101101011000011011110000000002
- Hexadecimal: 0x16B0DE00
- Base-36: 6ANI80
Squares and roots of 380689920
- 380689920 squared (3806899202) is 144924815189606400
- 380689920 cubed (3806899203) is 55171416300546045247488000
-
The
square root of 380689920 is 19511.2767393627 -
The
cube root of 380689920 is 724.7537300697
Scales and comparisons
How big is 380689920?- 380,689,920 seconds is equal to 12 years, 5 weeks, 3 days, 3 hours, 12 minutes.
-
To count from 1 to 380,689,920 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 380689920 cubic inches would be around 60.4 feet tall.
Recreational maths with 380689920
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