3998400
3,998,400 is an even composite number composed of five prime numbers multiplied together.
3998400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred fifty-two divisors.
Prime factorization of 3998400:
26 × 3 × 52 × 72 × 17
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 7 × 17)See below for interesting mathematical facts about the number 3998400 from the Numbermatics database.
Names of 3998400
- Cardinal: 3998400 can be written as Three million, nine hundred ninety-eight thousand, four hundred.
Scientific notation
- Scientific notation: 3.9984 × 106
Factors of 3998400
Divisors of 3998400
- Number of divisors d(n): 252
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 25 28 30 32 34 35 40 42 48 49 50 51 56 60 64 68 70 75 80 84 85 96 98 100 102 105 112 119 120 136 140 147 150 160 168 170 175 192 196 200 204 210 224 238 240 245 255 272 280 294 300 320 336 340 350 357 392 400 408 420 425 448 476 480 490 510 525 544 560 588 595 600 672 680 700 714 735 784 800 816 833 840 850 952 960 980 1020 1050 1088 1120 1176 1190 1200 1225 1275 1344 1360 1400 1428 1470 1568 1600 1632 1666 1680 1700 1785 1904 1960 2040 2100 2240 2352 2380 2400 2450 2499 2550 2720 2800 2856 2940 2975 3136 3264 3332 3360 3400 3570 3675 3808 3920 4080 4165 4200 4704 4760 4800 4900 4998 5100 5440 5600 5712 5880 5950 6664 6720 6800 7140 7350 7616 7840 8160 8330 8400 8925 9408 9520 9800 9996 10200 11200 11424 11760 11900 12495 13328 13600 14280 14700 15680 16320 16660 16800 17850 19040 19600 19992 20400 20825 22848 23520 23800 24990 26656 27200 28560 29400 33320 33600 35700 38080 39200 39984 40800 41650 47040 47600 49980 53312 57120 58800 62475 66640 71400 78400 79968 81600 83300 95200 99960 114240 117600 124950 133280 142800 159936 166600 190400 199920 235200 249900 266560 285600 333200 399840 499800 571200 666400 799680 999600 1332800 1999200 3998400
- Sum of all divisors σ(n): 16157448
- Sum of proper divisors (its aliquot sum) s(n): 12159048
- 3998400 is an abundant number, because the sum of its proper divisors (12159048) is greater than itself. Its abundance is 8160648
Bases of 3998400
- Binary: 11110100000010110000002
- Hexadecimal: 0x3D02C0
- Base-36: 2DP6O
Squares and roots of 3998400
- 3998400 squared (39984002) is 15987202560000
- 3998400 cubed (39984003) is 63923230715904000000
-
The
square root of 3998400 is 1999.5999599919 -
The
cube root of 3998400 is 158.7189370269
Scales and comparisons
How big is 3998400?- 3,998,400 seconds is equal to 6 weeks, 4 days, 6 hours, 40 minutes.
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To count from 1 to 3,998,400 would take you about nine weeks!
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 3998400 cubic inches would be around 13.2 feet tall.
Recreational maths with 3998400
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