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'''432''' is the [[natural number]] following 431 and preceding 433. |
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| colspan="2" | {{Numbers_0-1000}} |
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| [[Cardinal number|Cardinal]] |
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| 432 <br /> Four hundred thirty-two |
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| [[Ordinal number|Ordinal]] |
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| 432nd <br> Four hundred thirty-second |
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|- |
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| [[Factorization]] |
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| <math>2^4 \cdot 3^3</math> |
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|- |
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||[[Divisor]]s |
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| 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432 |
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|- |
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| [[Roman numeral]] |
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| CDXXXII |
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| [[Binary numeral system|Binary]] |
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| 110110000 |
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| [[Octal]] |
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| 660 |
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| [[Duodecimal]] |
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| 300 |
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| [[Hexadecimal]] |
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| 1B0 |
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|} |
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== Number values and Mathematics == |
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There are many reasons why 432 is such a special number: |
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*It is a [[composite number]]. |
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*432 is the sum of four consecutive primes: 103 + 107 + 109 + 113, |
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*It is a [[highly totient number]] |
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*It is a [[Harshad number]] |
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*It is the number of dimples in a [[golf ball]] to provide the best and maximum flight |
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*The number of years for a full cycle of the [[zodiac]] / 60 = 432 |
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* It is an average person’s heartbeats in a day / 2 = 43200 |
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*It is an average person’s breaths in a day x 2 = 43200 |
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*It is the number of seconds in half a day / 1000 |
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*It is the number of questions an average 4-year old asks everyday |
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*432 is 4x3x3x3x2x2 --> 4,3,2 |
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*It is 3 '[[gross]]' |
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*It is 4 times the [[hyperfactorial]] of 3: <math>4\cdot3^3\cdot2^2\cdot1^1: 4H(3)</math> |
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*It is 4 x [[108]] |
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*There are many reasons why [[108 (number)]] is such a special number - firstly it is a spiritual number of the Buddhists and the Hindus and the Chinese also say that there are 108 [[sacred]] [[stars]]. |
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*108 is an [[abundant number]] |
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*It is a [[tetranacci number]], |
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*It is a [[Harshad number]] |
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*As aforementioned it is the [[hyperfactorial]] of 3 |
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*It is divisible by the value of its [[Euler's totient function|φ function]] which is 36. |
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*Finally for 108, in normal space, the interior angles of an equilateral [[pentagon]] measure 108 degrees each. |
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*With all of these 432 has consecutive numbers in the number itself. |
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[[Category:Integers]] |
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== In other fields == |
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*The years [[432 BC]] or [[432]]. |
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[[Category:Integers]][[Category:Base 10 Harshad numbers]] |
Revision as of 12:35, 31 August 2005
432 is the natural number following 431 and preceding 433.
Template:Numbers 0-1000 | |
Cardinal | 432 Four hundred thirty-two |
Ordinal | 432nd Four hundred thirty-second |
Factorization | |
Divisors | 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432 |
Roman numeral | CDXXXII |
Binary | 110110000 |
Octal | 660 |
Duodecimal | 300 |
Hexadecimal | 1B0 |
Number values and Mathematics
There are many reasons why 432 is such a special number:
- It is a composite number.
- 432 is the sum of four consecutive primes: 103 + 107 + 109 + 113,
- It is a highly totient number
- It is a Harshad number
- It is the number of dimples in a golf ball to provide the best and maximum flight
- The number of years for a full cycle of the zodiac / 60 = 432
- It is an average person’s heartbeats in a day / 2 = 43200
- It is an average person’s breaths in a day x 2 = 43200
- It is the number of seconds in half a day / 1000
- It is the number of questions an average 4-year old asks everyday
- 432 is 4x3x3x3x2x2 --> 4,3,2
- It is 3 'gross'
- It is 4 times the hyperfactorial of 3:
- It is 4 x 108
- There are many reasons why 108 (number) is such a special number - firstly it is a spiritual number of the Buddhists and the Hindus and the Chinese also say that there are 108 sacred stars.
- 108 is an abundant number
- It is a tetranacci number,
- It is a Harshad number
- It is a self number
- As aforementioned it is the hyperfactorial of 3
- It is divisible by the value of its φ function which is 36.
- Finally for 108, in normal space, the interior angles of an equilateral pentagon measure 108 degrees each.
- With all of these 432 has consecutive numbers in the number itself.