830468800
830,468,800 is an even composite number composed of four prime numbers multiplied together.
830468800 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of eighty-four divisors.
Prime factorization of 830468800:
26 × 52 × 7 × 74149
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 74149)See below for interesting mathematical facts about the number 830468800 from the Numbermatics database.
Names of 830468800
- Cardinal: 830468800 can be written as Eight hundred thirty million, four hundred sixty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 8.304688 × 108
Factors of 830468800
Divisors of 830468800
- Number of divisors d(n): 84
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 140 160 175 200 224 280 320 350 400 448 560 700 800 1120 1400 1600 2240 2800 5600 11200 74149 148298 296596 370745 519043 593192 741490 1038086 1186384 1482980 1853725 2076172 2372768 2595215 2965960 3707450 4152344 4745536 5190430 5931920 7414900 8304688 10380860 11863840 12976075 14829800 16609376 20761720 23727680 25952150 29659600 33218752 41523440 51904300 59319200 83046880 103808600 118638400 166093760 207617200 415234400 830468800
- Sum of all divisors σ(n): 2335428400
- Sum of proper divisors (its aliquot sum) s(n): 1504959600
- 830468800 is an abundant number, because the sum of its proper divisors (1504959600) is greater than itself. Its abundance is 674490800
Bases of 830468800
- Binary: 1100010111111111110010110000002
- Hexadecimal: 0x317FF2C0
- Base-36: DQFTTS
Squares and roots of 830468800
- 830468800 squared (8304688002) is 689678427773440000
- 830468800 cubed (8304688003) is 572756416298895388672000000
-
The
square root of 830468800 is 28817.8555760139 -
The
cube root of 830468800 is 939.9565394121
Scales and comparisons
How big is 830468800?- 830,468,800 seconds is equal to 26 years, 21 weeks, 21 hours, 46 minutes, 40 seconds.
-
To count from 1 to 830,468,800 would take you about thirty-nine 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 830468800 cubic inches would be around 78.3 feet tall.
Recreational maths with 830468800
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