390204672
390,204,672 is an even composite number composed of six prime numbers multiplied together.
390204672 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 390204672:
28 × 3 × 112 × 13 × 17 × 19
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 11 × 13 × 17 × 19)See below for interesting mathematical facts about the number 390204672 from the Numbermatics database.
Names of 390204672
- Cardinal: 390204672 can be written as Three hundred ninety million, two hundred four thousand, six hundred seventy-two.
Scientific notation
- Scientific notation: 3.90204672 × 108
Factors of 390204672
Divisors of 390204672
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 3 4 6 8 11 12 13 16 17 19 22 24 26 32 33 34 38 39 44 48 51 52 57 64 66 68 76 78 88 96 102 104 114 121 128 132 136 143 152 156 176 187 192 204 208 209 221 228 242 247 256 264 272 286 304 312 323 352 363 374 384 408 416 418 429 442 456 484 494 528 544 561 572 608 624 627 646 663 704 726 741 748 768 816 832 836 858 884 912 968 969 988 1056 1088 1122 1144 1216 1248 1254 1292 1326 1408 1452 1482 1496 1573 1632 1664 1672 1716 1768 1824 1936 1938 1976 2057 2112 2176 2244 2288 2299 2431 2432 2496 2508 2584 2652 2717 2816 2904 2964 2992 3146 3264 3328 3344 3432 3536 3553 3648 3872 3876 3952 4114 4199 4224 4352 4488 4576 4598 4719 4862 4864 4992 5016 5168 5304 5434 5808 5928 5984 6171 6292 6528 6688 6864 6897 7072 7106 7293 7296 7744 7752 7904 8151 8228 8398 8448 8976 9152 9196 9438 9724 9984 10032 10336 10608 10659 10868 11616 11856 11968 12342 12584 12597 13056 13376 13728 13794 14144 14212 14586 14592 15488 15504 15808 16302 16456 16796 17952 18304 18392 18876 19448 20064 20672 21216 21318 21736 23232 23712 23936 24684 25168 25194 26741 26752 27456 27588 28288 28424 29172 29887 30976 31008 31616 32604 32912 33592 35904 36608 36784 37752 38896 39083 40128 41344 42432 42636 43472 46189 46464 47424 47872 49368 50336 50388 53482 53504 54912 55176 56576 56848 58344 59774 62016 63232 65208 65824 67184 71808 73568 75504 77792 78166 80223 80256 82688 84864 85272 86944 89661 92378 92928 94848 98736 100672 100776 106964 109824 110352 113696 116688 117249 119548 124032 130416 131648 134368 138567 143616 147136 151008 155584 156332 160446 160512 169728 170544 173888 179322 184756 189696 197472 201344 201552 213928 220704 227392 233376 234498 239096 248064 260832 263296 268736 277134 294272 302016 311168 312664 320892 341088 347776 358644 369512 394944 402688 403104 427856 441408 454784 466752 468996 478192 508079 521664 526592 537472 554268 588544 604032 622336 625328 641784 682176 695552 717288 739024 789888 806208 855712 882816 909568 933504 937992 956384 1016158 1043328 1074944 1108536 1208064 1250656 1283568 1364352 1434576 1478048 1524237 1579776 1612416 1711424 1765632 1867008 1875984 1912768 2032316 2086656 2217072 2501312 2567136 2728704 2869152 2956096 3048474 3224832 3422848 3751968 3825536 4064632 4434144 5002624 5134272 5738304 5912192 6096948 6845696 7503936 7651072 8129264 8868288 10005248 10268544 11476608 11824384 12193896 15007872 16258528 17736576 20537088 22953216 24387792 30015744 32517056 35473152 48775584 65034112 97551168 130068224 195102336 390204672
- Sum of all divisors σ(n): 1370134080
- Sum of proper divisors (its aliquot sum) s(n): 979929408
- 390204672 is an abundant number, because the sum of its proper divisors (979929408) is greater than itself. Its abundance is 589724736
Bases of 390204672
- Binary: 101110100001000001101000000002
- Hexadecimal: 0x17420D00
- Base-36: 6GBFUO
Squares and roots of 390204672
- 390204672 squared (3902046722) is 152259686050627584
- 390204672 cubed (3902046723) is 59412440854208111808872448
-
The
square root of 390204672 is 19753.5989632271 -
The
cube root of 390204672 is 730.7421438597
Scales and comparisons
How big is 390204672?- 390,204,672 seconds is equal to 12 years, 21 weeks, 1 day, 6 hours, 11 minutes, 12 seconds.
-
To count from 1 to 390,204,672 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 390204672 cubic inches would be around 60.9 feet tall.
Recreational maths with 390204672
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