328538400
328,538,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 328538400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 144 divisors.
328538400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 328538400:
25 × 3 × 52 × 367 × 373
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 367 × 373)See below for interesting mathematical facts about the number 328538400 from the Numbermatics database.
Names of 328538400
- Cardinal: 328538400 can be written as Three hundred twenty-eight million, five hundred thirty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 3.285384 × 108
Factors of 328538400
Divisors of 328538400
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 367 373 400 480 600 734 746 800 1101 1119 1200 1468 1492 1835 1865 2202 2238 2400 2936 2984 3670 3730 4404 4476 5505 5595 5872 5968 7340 7460 8808 8952 9175 9325 11010 11190 11744 11936 14680 14920 17616 17904 18350 18650 22020 22380 27525 27975 29360 29840 35232 35808 36700 37300 44040 44760 55050 55950 58720 59680 73400 74600 88080 89520 110100 111900 136891 146800 149200 176160 179040 220200 223800 273782 293600 298400 410673 440400 447600 547564 684455 821346 880800 895200 1095128 1368910 1642692 2053365 2190256 2737820 3285384 3422275 4106730 4380512 5475640 6570768 6844550 8213460 10266825 10951280 13141536 13689100 16426920 20533650 21902560 27378200 32853840 41067300 54756400 65707680 82134600 109512800 164269200 328538400
- Sum of all divisors σ(n): 1075181184
- Sum of proper divisors (its aliquot sum) s(n): 746642784
- 328538400 is an abundant number, because the sum of its proper divisors (746642784) is greater than itself. Its abundance is 418104384
Bases of 328538400
- Binary: 100111001010100011001001000002
- Hexadecimal: 0x13951920
- Base-36: 5FLPUO
Squares and roots of 328538400
- 328538400 squared (3285384002) is 107937480274560000
- 328538400 cubed (3285384003) is 35461607069435503104000000
-
The
square root of 328538400 is 18125.6282649733 -
The
cube root of 328538400 is 690.0205832969
Scales and comparisons
How big is 328538400?- 328,538,400 seconds is equal to 10 years, 23 weeks, 1 day, 12 hours, 40 minutes.
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To count from 1 to 328,538,400 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 328538400 cubic inches would be around 57.5 feet tall.
Recreational maths with 328538400
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