98304

98,304 is an even composite number composed of two prime numbers multiplied together.

What does the number 98304 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 32 divisors.

98304 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of thirty-two divisors.

Prime factorization of 98304:

2¹⁵ × 3

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3)

See below for interesting mathematical facts about the number 98304 from the Numbermatics database.

Names of 98304

Cardinal: 98304 can be written as Ninety-eight thousand, three hundred four.

Scientific notation

Scientific notation: 9.8304 × 10⁴

Factors of 98304

Number of distinct prime factors ω(n): 2
Total number of prime factors Ω(n): 16
Sum of prime factors: 5

Divisors of 98304

Number of divisors d(n): 32
Complete list of divisors:
1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 6144 8192 12288 16384 24576 32768 49152 98304
Sum of all divisors σ(n): 262140
Sum of proper divisors (its aliquot sum) s(n): 163836
98304 is an abundant number, because the sum of its proper divisors (163836) is greater than itself. Its abundance is 65532

Bases of 98304

Binary: 11000000000000000₂
Hexadecimal: 0x18000
Base-36: 23UO

Squares and roots of 98304

98304 squared (98304²) is 9663676416
98304 cubed (98304³) is 949978046398464
The square root of 98304 is 313.5346870763
The cube root of 98304 is 46.1519862499

Scales and comparisons

How big is 98304?

98,304 seconds is equal to 1 day, 3 hours, 18 minutes, 24 seconds.
To count from 1 to 98,304 would take you about three hours.

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 98304 cubic inches would be around 3.8 feet tall.

Recreational maths with 98304

98304 backwards is 40389
98304 is a Harshad number.
The number of decimal digits it has is: 5
The sum of 98304's digits is 24
More coming soon!

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The information we have on file for 98304 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

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