304129728
304,129,728 is an even composite number composed of five prime numbers multiplied together.
304129728 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred twenty divisors.
Prime factorization of 304129728:
26 × 34 × 7 × 172 × 29
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 17 × 17 × 29)See below for interesting mathematical facts about the number 304129728 from the Numbermatics database.
Names of 304129728
- Cardinal: 304129728 can be written as Three hundred four million, one hundred twenty-nine thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 3.04129728 × 108
Factors of 304129728
Divisors of 304129728
- Number of divisors d(n): 420
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 27 28 29 32 34 36 42 48 51 54 56 58 63 64 68 72 81 84 87 96 102 108 112 116 119 126 136 144 153 162 168 174 189 192 203 204 216 224 232 238 252 261 272 288 289 306 324 336 348 357 378 406 408 432 448 459 464 476 493 504 522 544 567 576 578 609 612 648 672 696 714 756 783 812 816 864 867 918 928 952 986 1008 1044 1071 1088 1134 1156 1218 1224 1296 1344 1377 1392 1428 1479 1512 1566 1624 1632 1728 1734 1827 1836 1856 1904 1972 2016 2023 2088 2142 2268 2312 2349 2436 2448 2592 2601 2754 2784 2856 2958 3024 3132 3213 3248 3264 3451 3468 3654 3672 3808 3944 4032 4046 4176 4284 4437 4536 4624 4698 4872 4896 5184 5202 5481 5508 5568 5712 5916 6048 6069 6264 6426 6496 6902 6936 7308 7344 7616 7803 7888 8092 8352 8381 8568 8874 9072 9248 9396 9639 9744 9792 10353 10404 10962 11016 11424 11832 12096 12138 12528 12852 12992 13311 13804 13872 14616 14688 15606 15776 16184 16443 16704 16762 17136 17748 18144 18207 18496 18792 19278 19488 20706 20808 21924 22032 22848 23409 23664 24276 25056 25143 25704 26622 27608 27744 29232 29376 31059 31212 31552 32368 32886 33524 34272 35496 36288 36414 37584 38556 38976 39933 41412 41616 43848 44064 46818 47328 48552 50112 50286 51408 53244 54621 55216 55488 58464 58667 62118 62424 64736 65772 67048 68544 70992 72828 75168 75429 77112 79866 82824 83232 87696 88128 93177 93636 94656 97104 100572 102816 106488 109242 110432 116928 117334 124236 124848 129472 131544 134096 141984 145656 150336 150858 154224 159732 163863 165648 166464 175392 176001 186354 187272 194208 201144 205632 212976 218484 220864 226287 234668 248472 249696 263088 268192 279531 283968 291312 301716 308448 319464 327726 331296 350784 352002 372708 374544 388416 402288 425952 436968 452574 469336 496944 499392 526176 528003 536384 559062 582624 603432 616896 638928 655452 662592 678861 704004 745416 749088 804576 851904 873936 905148 938672 993888 1052352 1056006 1118124 1165248 1206864 1277856 1310904 1357722 1408008 1490832 1498176 1584009 1609152 1747872 1810296 1877344 1987776 2112012 2236248 2413728 2555712 2621808 2715444 2816016 2981664 3168018 3495744 3620592 3754688 4224024 4472496 4752027 4827456 5243616 5430888 5632032 5963328 6336036 7241184 8448048 8944992 9504054 10487232 10861776 11264064 12672072 14482368 16896096 17889984 19008108 21723552 25344144 33792192 38016216 43447104 50688288 76032432 101376576 152064864 304129728
- Sum of all divisors σ(n): 1132240560
- Sum of proper divisors (its aliquot sum) s(n): 828110832
- 304129728 is an abundant number, because the sum of its proper divisors (828110832) is greater than itself. Its abundance is 523981104
Bases of 304129728
- Binary: 100100010000010100110110000002
- Hexadecimal: 0x1220A6C0
- Base-36: 512K00
Squares and roots of 304129728
- 304129728 squared (3041297282) is 92494891453353984
- 304129728 cubed (3041297283) is 28130446179098071841636352
-
The
square root of 304129728 is 17439.3155829007 -
The
cube root of 304129728 is 672.4907130091
Scales and comparisons
How big is 304129728?- 304,129,728 seconds is equal to 9 years, 34 weeks, 6 days, 28 minutes, 48 seconds.
-
To count from 1 to 304,129,728 would take you about fourteen 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 304129728 cubic inches would be around 56 feet tall.
Recreational maths with 304129728
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