84428400
84,428,400 is an even composite number composed of six prime numbers multiplied together.
84428400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 84428400:
24 × 3 × 52 × 7 × 19 × 232
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 19 × 23 × 23)See below for interesting mathematical facts about the number 84428400 from the Numbermatics database.
Names of 84428400
- Cardinal: 84428400 can be written as Eighty-four million, four hundred twenty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 8.44284 × 107
Factors of 84428400
Divisors of 84428400
- Number of divisors d(n): 360
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 23 24 25 28 30 35 38 40 42 46 48 50 56 57 60 69 70 75 76 80 84 92 95 100 105 112 114 115 120 133 138 140 150 152 161 168 175 184 190 200 210 228 230 240 266 276 280 285 300 304 322 336 345 350 368 380 399 400 420 437 456 460 475 483 525 529 532 552 560 570 575 600 644 665 690 700 760 798 805 840 874 912 920 950 966 1050 1058 1064 1104 1140 1150 1200 1288 1311 1330 1380 1400 1425 1520 1587 1596 1610 1680 1725 1748 1840 1900 1932 1995 2100 2116 2128 2185 2280 2300 2415 2576 2622 2645 2660 2760 2800 2850 3059 3174 3192 3220 3325 3450 3496 3703 3800 3864 3990 4025 4200 4232 4370 4560 4600 4830 5244 5290 5320 5520 5700 6118 6348 6384 6440 6555 6650 6900 6992 7406 7600 7728 7935 7980 8050 8400 8464 8740 9177 9200 9660 9975 10051 10488 10580 10640 10925 11109 11400 12075 12236 12696 12880 13110 13225 13300 13800 14812 15295 15870 15960 16100 17480 18354 18515 19320 19950 20102 20976 21160 21850 22218 22800 24150 24472 25392 26220 26450 26600 27600 29624 30153 30590 31740 31920 32200 32775 34960 36708 37030 38640 39675 39900 40204 42320 43700 44436 45885 48300 48944 50255 52440 52900 53200 55545 59248 60306 61180 63480 64400 65550 70357 73416 74060 76475 79350 79800 80408 87400 88872 91770 92575 96600 100510 104880 105800 111090 120612 122360 126960 131100 140714 146832 148120 150765 152950 158700 159600 160816 174800 177744 183540 185150 193200 201020 211071 211600 222180 229425 241224 244720 251275 262200 277725 281428 296240 301530 305900 317400 351785 367080 370300 402040 422142 444360 458850 482448 502550 524400 555450 562856 603060 611800 634800 703570 734160 740600 753825 804080 844284 888720 917700 1005100 1055355 1110900 1125712 1206120 1223600 1407140 1481200 1507650 1688568 1758925 1835400 2010200 2110710 2221800 2412240 2814280 3015300 3377136 3517850 3670800 4020400 4221420 4443600 5276775 5628560 6030600 7035700 8442840 10553550 12061200 14071400 16885680 21107100 28142800 42214200 84428400
- Sum of all divisors σ(n): 340117120
- Sum of proper divisors (its aliquot sum) s(n): 255688720
- 84428400 is an abundant number, because the sum of its proper divisors (255688720) is greater than itself. Its abundance is 171260320
Bases of 84428400
- Binary: 1010000100001000110011100002
- Hexadecimal: 0x5084670
- Base-36: 1E9LDC
Squares and roots of 84428400
- 84428400 squared (844284002) is 7128154726560000
- 84428400 cubed (844284003) is 601818698515898304000000
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The
square root of 84428400 is 9188.4928035015 -
The
cube root of 84428400 is 438.6951701355
Scales and comparisons
How big is 84428400?- 84,428,400 seconds is equal to 2 years, 35 weeks, 4 days, 4 hours, 20 minutes.
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To count from 1 to 84,428,400 would take you about four 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 84428400 cubic inches would be around 36.6 feet tall.
Recreational maths with 84428400
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