Number

432

432 is a composite number, even, a calendar year.

432 (four hundred thirty-two) is an even 3-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 3³. Its proper divisors sum to 808, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is CDXXXII and in binary, 110110000.

Abundant Number Achilles Number Arithmetic Number Consecutive Digits Descending Digits Evil Number Harshad / Niven Powerful Number Practical Number Recamán's Sequence Semiperfect Number Year Zuckerman Number

Interestingness

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10 notable facts · grade A

420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444

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Historical context — 432 AD

Calendar year

Year 432 (CDXXXII) was a leap year starting on Friday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

Historical context — 432 BC

Calendar year

Year 432 BC was a year of the pre-Julian Roman calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

Year facts

Year type: Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year: 366
ISO weeks: 53
Long year: contains 53 ISO weeks.
Started on: Thursday
January 1, 432
Ended on: Friday
December 31, 432
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 430s
430–439
Century: 5th century
401–500
Millennium: 1st millennium
1–1000
Years ago: 1,594
1594 years before 2026.

In other calendars

Hebrew: 4192 / 4193 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Water zodiac:Monkey
Sexagenary cycle position 9 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 975 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 424 / 425 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 354 / 353 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 9
Digit product: 24
Digital root: 9
Palindrome: No
Bit width: 9 bits
Reversed: 234
Recamán's sequence: a(4,779) = 432
Square (n²): 186,624
Cube (n³): 80,621,568
Divisor count: 20
σ(n) — sum of divisors: 1,240
φ(n) — Euler's totient: 144
Sum of prime factors: 17

Primality

Prime factorization: 2 ⁴ × 3 ³

Nearest primes: 431 (−1) · 433 (+1)

Divisors & multiples

All divisors (20)

1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 27 · 36 · 48 · 54 · 72 · 108 · 144 · 216 (half) · 432

Aliquot sum (sum of proper divisors): 808

Factor pairs (a × b = 432)

1 × 432

2 × 216

3 × 144

4 × 108

6 × 72

8 × 54

9 × 48

12 × 36

16 × 27

18 × 24

First multiples

432 · 864 (double) · 1,296 · 1,728 · 2,160 · 2,592 · 3,024 · 3,456 · 3,888 · 4,320

Sums & aliquot sequence

As a sum of two cubes: 6³ + 6³

As consecutive integers: 143 + 144 + 145 44 + 45 + … + 52 3 + 4 + … + 29

Aliquot sequence: 432 → 808 → 722 → 421 → 1 → 0 — terminates at zero

Continued fraction of √n

√432 = [20; (1, 3, 1, 1, 1, 3, 1, 40)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: four hundred thirty-two
Ordinal: 432nd
Roman numeral: CDXXXII
Binary: 110110000
Octal: 660
Hexadecimal: 0x1B0
Base64: AbA=
One's complement: 65,103 (16-bit)
Scientific notation: 4.32 × 10²
As a duration: 432 s = 7 minutes, 12 seconds

In other bases

ternary (3) 121000

quaternary (4) 12300

quinary (5) 3212

senary (6) 2000

septenary (7) 1155

nonary (9) 530

undecimal (11) 363

duodecimal (12) 300

tridecimal (13) 273

tetradecimal (14) 22c

pentadecimal (15) 1dc

Palindromic in base 11

As an angle

432° = 1 × 360° + 72°

72° ≈ 1.257 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): υλβʹ
Mayan (base 20): 𝋡·𝋡·𝋬
Chinese: 四百三十二
Chinese (financial): 肆佰參拾貳

In other modern scripts

Eastern Arabic ٤٣٢ Devanagari ४३२ Bengali ৪৩২ Tamil ௪௩௨ Thai ๔๓๒ Tibetan ༤༣༢ Khmer ៤៣២ Lao ໔໓໒ Burmese ၄၃၂

Digit at this position in famous constants

π — Pi (π): Digit 432 = 8
e — Euler's number (e): Digit 432 = 5
φ — Golden ratio (φ): Digit 432 = 1
√2 — Pythagoras's (√2): Digit 432 = 9
ln 2 — Natural log of 2: Digit 432 = 4
γ — Euler-Mascheroni (γ): Digit 432 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 432, here are decompositions:

11 + 421 = 432
13 + 419 = 432
23 + 409 = 432
31 + 401 = 432
43 + 389 = 432
53 + 379 = 432
59 + 373 = 432
73 + 359 = 432

Showing the first eight; more decompositions exist.

Unicode codepoint

Latin Small Letter U With Horn

U+01B0

Lowercase letter (Ll)

UTF-8 encoding: C6 B0 (2 bytes).

Lookup U+01B0 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0001B0

RGB(0, 1, 176)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.1.176.

Address: 0.0.1.176
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.1.176

Unspecified address (0.0.0.0/8) — "this network" placeholder.

NANP area code 432

The number 432 is an active NANP area code (North American Numbering Plan).

Primary area: Midland / Odessa
Region: Texas
Country: United States

Most NANP area codes have multiple overlays in dense regions; the primary area listed is the historic/largest population center for this code.

Look up area code 432 ↗

Musical pitch

Heard as a frequency, 432 Hz is closest to:

Concert pitch (A4 = 440 Hz): A4 (440 Hz, -32¢)
Scientific pitch (C4 = 256 Hz): A4 (430.5 Hz, +6¢)
Baroque pitch (A4 = 415 Hz): A♯4 (439.7 Hz, -30¢)

An alternative tuning of concert A ("Verdi tuning") preferred by some musicians and instrument makers.