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'''432''' is the [[natural number]] following 431 and preceding 433.
#redirect [[400 (number)]]

{| width="250" border="1" style="float: right; background: #feffff; border-collapse: collapse; margin: 0.5em"
|-
| colspan="2" | {{Numbers_0-1000}}
|-
| [[Cardinal number|Cardinal]]
| 432 <br /> Four hundred thirty-two
|-
| [[Ordinal number|Ordinal]]
| 432nd <br> Four hundred thirty-second
|-
| [[Factorization]]
| <math>2^4 \cdot 3^3</math>
|-
||[[Divisor]]s
| 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
|-
| [[Roman numeral]]
| CDXXXII
|-
| [[Binary numeral system|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: <math>4\cdot3^3\cdot2^2\cdot1^1: 4H(3)</math>

*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 [[Euler's totient function|&phi; 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.

[[Category:Integers]]


== In other fields ==

*The years [[432 BC]] or [[432]].

[[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:

  • 432 is the sum of four consecutive primes: 103 + 107 + 109 + 113,
  • 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 4 times the hyperfactorial of 3:
  • 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.
  • 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.


In other fields