301428400
301,428,400 is an even composite number composed of four prime numbers multiplied together.
301428400 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 301428400:
24 × 52 × 73 × 133
(2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 7 × 13 × 13 × 13)See below for interesting mathematical facts about the number 301428400 from the Numbermatics database.
Names of 301428400
- Cardinal: 301428400 can be written as Three hundred one million, four hundred twenty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 3.014284 × 108
Factors of 301428400
Divisors of 301428400
- Number of divisors d(n): 240
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 35 40 49 50 52 56 65 70 80 91 98 100 104 112 130 140 169 175 182 196 200 208 245 260 280 325 338 343 350 364 392 400 455 490 520 560 637 650 676 686 700 728 784 845 910 980 1040 1183 1225 1274 1300 1352 1372 1400 1456 1690 1715 1820 1960 2197 2275 2366 2450 2548 2600 2704 2744 2800 3185 3380 3430 3640 3920 4225 4394 4459 4550 4732 4900 5096 5200 5488 5915 6370 6760 6860 7280 8281 8450 8575 8788 8918 9100 9464 9800 10192 10985 11830 12740 13520 13720 15379 15925 16562 16900 17150 17576 17836 18200 18928 19600 21970 22295 23660 25480 27440 29575 30758 31850 33124 33800 34300 35152 35672 36400 41405 43940 44590 47320 50960 54925 57967 59150 61516 63700 66248 67600 68600 71344 76895 82810 87880 89180 94640 107653 109850 111475 115934 118300 123032 127400 132496 137200 153790 165620 175760 178360 207025 215306 219700 222950 231868 236600 246064 254800 289835 307580 331240 356720 384475 414050 430612 439400 445900 463736 473200 538265 579670 615160 662480 753571 768950 828100 861224 878800 891800 927472 1076530 1159340 1230320 1449175 1507142 1537900 1656200 1722448 1783600 2153060 2318680 2691325 2898350 3014284 3075800 3312400 3767855 4306120 4637360 5382650 5796700 6028568 6151600 7535710 8612240 10765300 11593400 12057136 15071420 18839275 21530600 23186800 30142840 37678550 43061200 60285680 75357100 150714200 301428400
- Sum of all divisors σ(n): 914872000
- Sum of proper divisors (its aliquot sum) s(n): 613443600
- 301428400 is an abundant number, because the sum of its proper divisors (613443600) is greater than itself. Its abundance is 312015200
Bases of 301428400
- Binary: 100011111011101101110101100002
- Hexadecimal: 0x11F76EB0
- Base-36: 4ZGNN4
Squares and roots of 301428400
- 301428400 squared (3014284002) is 90859080326560000
- 301428400 cubed (3014284003) is 27387507208306458304000000
-
The
square root of 301428400 is 17361.6934657885 -
The
cube root of 301428400 is 670.4937327527
Scales and comparisons
How big is 301428400?- 301,428,400 seconds is equal to 9 years, 30 weeks, 2 days, 18 hours, 6 minutes, 40 seconds.
-
To count from 1 to 301,428,400 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 301428400 cubic inches would be around 55.9 feet tall.
Recreational maths with 301428400
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