380225664
380,225,664 is an even composite number composed of five prime numbers multiplied together.
380225664 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 380225664:
27 × 34 × 7 × 132 × 31
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 13 × 13 × 31)See below for interesting mathematical facts about the number 380225664 from the Numbermatics database.
Names of 380225664
- Cardinal: 380225664 can be written as Three hundred eighty million, two hundred twenty-five thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 3.80225664 × 108
Factors of 380225664
Divisors of 380225664
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 31 32 36 39 42 48 52 54 56 62 63 64 72 78 81 84 91 93 96 104 108 112 117 124 126 128 144 156 162 168 169 182 186 189 192 208 216 217 224 234 248 252 273 279 288 312 324 336 338 351 364 372 378 384 403 416 432 434 448 468 496 504 507 546 558 567 576 624 648 651 672 676 702 728 744 756 806 819 832 837 864 868 896 936 992 1008 1014 1053 1092 1116 1134 1152 1183 1209 1248 1296 1302 1344 1352 1404 1456 1488 1512 1521 1612 1638 1664 1674 1728 1736 1872 1953 1984 2016 2028 2106 2184 2232 2268 2366 2418 2457 2496 2511 2592 2604 2688 2704 2808 2821 2912 2976 3024 3042 3224 3276 3348 3456 3472 3549 3627 3744 3906 3968 4032 4056 4212 4368 4464 4536 4563 4732 4836 4914 4992 5022 5184 5208 5239 5408 5616 5642 5824 5859 5952 6048 6084 6448 6552 6696 6944 7098 7254 7371 7488 7812 8064 8112 8424 8463 8736 8928 9072 9126 9464 9672 9828 10044 10368 10416 10478 10647 10816 10881 11232 11284 11648 11718 11904 12096 12168 12896 13104 13392 13689 13888 14196 14508 14742 14976 15624 15717 16224 16848 16926 17472 17577 17856 18144 18252 18928 19344 19656 20088 20832 20956 21294 21632 21762 22464 22568 23436 24192 24336 25389 25792 26208 26784 27378 27776 28392 29016 29484 31248 31434 31941 32448 32643 33696 33852 34944 35154 35712 36288 36504 36673 37856 38688 39312 40176 41664 41912 42588 43524 44928 45136 46872 47151 48672 50778 51584 52416 53568 54756 56784 58032 58968 62496 62868 63882 64896 65286 67392 67704 70308 72576 73008 73346 75712 76167 77376 78624 80352 83328 83824 85176 87048 90272 93744 94302 95823 97344 101556 104832 107136 109512 110019 113568 116064 117936 124992 125736 127764 130572 134784 135408 140616 141453 146016 146692 151424 152334 154752 157248 160704 167648 170352 174096 180544 187488 188604 191646 194688 203112 219024 220038 227136 228501 232128 235872 249984 251472 255528 261144 270816 281232 282906 292032 293384 304668 314496 321408 330057 335296 340704 348192 361088 374976 377208 383292 406224 424359 438048 440076 454272 457002 464256 471744 502944 511056 522288 541632 562464 565812 584064 586768 609336 660114 670592 681408 696384 749952 754416 766584 812448 848718 876096 880152 914004 943488 990171 1005888 1022112 1044576 1083264 1124928 1131624 1173536 1218672 1320228 1362816 1392768 1508832 1533168 1624896 1697436 1752192 1760304 1828008 1980342 2011776 2044224 2089152 2249856 2263248 2347072 2437344 2640456 2970513 3017664 3066336 3249792 3394872 3520608 3656016 3960684 4088448 4178304 4526496 4694144 4874688 5280912 5941026 6035328 6132672 6789744 7041216 7312032 7921368 9052992 9749376 10561824 11882052 12265344 13579488 14082432 14624064 15842736 18105984 21123648 23764104 27158976 29248128 31685472 42247296 47528208 54317952 63370944 95056416 126741888 190112832 380225664
- Sum of all divisors σ(n): 1445495040
- Sum of proper divisors (its aliquot sum) s(n): 1065269376
- 380225664 is an abundant number, because the sum of its proper divisors (1065269376) is greater than itself. Its abundance is 685043712
Bases of 380225664
- Binary: 101101010100111001000100000002
- Hexadecimal: 0x16A9C880
- Base-36: 6ADK00
Squares and roots of 380225664
- 380225664 squared (3802256642) is 144571555564240896
- 380225664 cubed (3802256643) is 54969815709926389337554944
-
The
square root of 380225664 is 19499.3759900157 -
The
cube root of 380225664 is 724.4589948887
Scales and comparisons
How big is 380225664?- 380,225,664 seconds is equal to 12 years, 4 weeks, 4 days, 18 hours, 14 minutes, 24 seconds.
-
To count from 1 to 380,225,664 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 380225664 cubic inches would be around 60.4 feet tall.
Recreational maths with 380225664
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