328631400
328,631,400 is an even composite number composed of six prime numbers multiplied together.
328631400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 328631400:
23 × 32 × 52 × 41 × 61 × 73
(2 × 2 × 2 × 3 × 3 × 5 × 5 × 41 × 61 × 73)See below for interesting mathematical facts about the number 328631400 from the Numbermatics database.
Names of 328631400
- Cardinal: 328631400 can be written as Three hundred twenty-eight million, six hundred thirty-one thousand, four hundred.
Scientific notation
- Scientific notation: 3.286314 × 108
Factors of 328631400
Divisors of 328631400
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 41 45 50 60 61 72 73 75 82 90 100 120 122 123 146 150 164 180 183 200 205 219 225 244 246 292 300 305 328 360 365 366 369 410 438 450 488 492 549 584 600 610 615 657 730 732 738 820 876 900 915 984 1025 1095 1098 1220 1230 1314 1460 1464 1476 1525 1640 1752 1800 1825 1830 1845 2050 2190 2196 2440 2460 2501 2628 2745 2920 2952 2993 3050 3075 3285 3650 3660 3690 4100 4380 4392 4453 4575 4920 5002 5256 5475 5490 5986 6100 6150 6570 7300 7320 7380 7503 8200 8760 8906 8979 9150 9225 10004 10950 10980 11972 12200 12300 12505 13140 13359 13725 14600 14760 14965 15006 16425 17812 17958 18300 18450 20008 21900 21960 22265 22509 23944 24600 25010 26280 26718 26937 27450 29930 30012 32850 35624 35916 36600 36900 37515 40077 43800 44530 44895 45018 50020 53436 53874 54900 59860 60024 62525 65700 66795 71832 73800 74825 75030 80154 89060 89790 90036 100040 106872 107748 109800 111325 112545 119720 125050 131400 133590 134685 149650 150060 160308 178120 179580 180072 182573 187575 200385 215496 222650 224475 225090 250100 267180 269370 299300 300120 320616 333975 359160 365146 375150 400770 445300 448950 450180 500200 534360 538740 547719 562725 598600 667950 673425 730292 750300 801540 890600 897900 900360 912865 1001925 1077480 1095438 1125450 1335900 1346850 1460584 1500600 1603080 1643157 1795800 1825730 2003850 2190876 2250900 2671800 2693700 2738595 3286314 3651460 4007700 4381752 4501800 4564325 5387400 5477190 6572628 7302920 8015400 8215785 9128650 10954380 13145256 13692975 16431570 18257300 21908760 27385950 32863140 36514600 41078925 54771900 65726280 82157850 109543800 164315700 328631400
- Sum of all divisors σ(n): 1164847320
- Sum of proper divisors (its aliquot sum) s(n): 836215920
- 328631400 is an abundant number, because the sum of its proper divisors (836215920) is greater than itself. Its abundance is 507584520
Bases of 328631400
- Binary: 100111001011010000100011010002
- Hexadecimal: 0x13968468
- Base-36: 5FNPM0
Squares and roots of 328631400
- 328631400 squared (3286314002) is 107998597065960000
- 328631400 cubed (3286314003) is 35491730151822327144000000
-
The
square root of 328631400 is 18128.1935117651 -
The
cube root of 328631400 is 690.0856856413
Scales and comparisons
How big is 328631400?- 328,631,400 seconds is equal to 10 years, 23 weeks, 2 days, 14 hours, 30 minutes.
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To count from 1 to 328,631,400 would take you about fifteen 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 328631400 cubic inches would be around 57.5 feet tall.
Recreational maths with 328631400
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