Number

474

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

474 (four hundred seventy-four) is an even 3-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 79. Its proper divisors sum to 486, more than the number itself, making it an abundant number. Its digits read the same forwards and backwards, so it is a palindromic number. Written other ways, in Roman numerals it is CDLXXIV and in binary, 111011010.

Abundant Number Arithmetic Number Cube-Free Evil Number Nonagonal Palindrome Recamán's Sequence Semiperfect Number Sphenic Number Squarefree Undulating Number Year

Interestingness

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9 notable facts · grade A

462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486

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Historical context — 474 AD

Calendar year

Year 474 (CDLXXIV) was a common year starting on Tuesday of the Julian calendar.

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

Historical context — 474 BC

Calendar year

Year 474 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: Common year
Standard 365-day year; not divisible by 4 (or divisible by 100 but not 400).
Days in year: 365
ISO weeks: 52
Started on: Monday
January 1, 474
Ended on: Monday
December 31, 474
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 470s
470–479
Century: 5th century
401–500
Millennium: 1st millennium
1–1000
Years ago: 1,552
1552 years before 2026.

In other calendars

Hebrew: 4234 / 4235 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Wood zodiac:Tiger
Sexagenary cycle position 51 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1017 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 466 / 467 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 396 / 395 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 15
Digit product: 112
Digital root: 6
Palindrome: Yes
Bit width: 9 bits
Recamán's sequence: a(420) = 474
Square (n²): 224,676
Cube (n³): 106,496,424
Divisor count: 8
σ(n) — sum of divisors: 960
φ(n) — Euler's totient: 156
Sum of prime factors: 84

Primality

Prime factorization: 2 × 3 × 79

Nearest primes: 467 (−7) · 479 (+5)

Divisors & multiples

All divisors (8)

1 · 2 · 3 · 6 · 79 · 158 · 237 (half) · 474

Aliquot sum (sum of proper divisors): 486

Factor pairs (a × b = 474)

1 × 474

2 × 237

3 × 158

6 × 79

First multiples

474 · 948 (double) · 1,422 · 1,896 · 2,370 · 2,844 · 3,318 · 3,792 · 4,266 · 4,740

Sums & aliquot sequence

As consecutive integers: 157 + 158 + 159 117 + 118 + 119 + 120 34 + 35 + … + 45

Aliquot sequence: 474 → 486 → 606 → 618 → 630 → 1,242 → 1,638 → 2,730 → 5,334 → 6,954 → 7,926 → 7,938 → 12,753 → 7,267 → 785 → 163 → 1 — unresolved within range

Continued fraction of √n

√474 = [21; (1, 3, 2, 1, 1, 1, 6, 1, 1, 1, 2, 3, 1, 42)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words: four hundred seventy-four
Ordinal: 474th
Roman numeral: CDLXXIV
Binary: 111011010
Octal: 732
Hexadecimal: 0x1DA
Base64: Ado=
One's complement: 65,061 (16-bit)
Scientific notation: 4.74 × 10²
As a duration: 474 s = 7 minutes, 54 seconds

In other bases

ternary (3) 122120

quaternary (4) 13122

quinary (5) 3344

senary (6) 2110

septenary (7) 1245

nonary (9) 576

undecimal (11) 3a1

duodecimal (12) 336

tridecimal (13) 2a6

tetradecimal (14) 25c

pentadecimal (15) 219

As an angle

474° = 1 × 360° + 114°

114° ≈ 1.99 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): υοδʹ
Mayan (base 20): 𝋡·𝋣·𝋮
Chinese: 四百七十四
Chinese (financial): 肆佰柒拾肆

In other modern scripts

Eastern Arabic ٤٧٤ Devanagari ४७४ Bengali ৪৭৪ Tamil ௪௭௪ Thai ๔๗๔ Tibetan ༤༧༤ Khmer ៤៧៤ Lao ໔໗໔ Burmese ၄၇၄

Digit at this position in famous constants

π — Pi (π): Digit 474 = 8
e — Euler's number (e): Digit 474 = 5
φ — Golden ratio (φ): Digit 474 = 6
√2 — Pythagoras's (√2): Digit 474 = 9
ln 2 — Natural log of 2: Digit 474 = 9
γ — Euler-Mascheroni (γ): Digit 474 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 474, here are decompositions:

7 + 467 = 474
11 + 463 = 474
13 + 461 = 474
17 + 457 = 474
31 + 443 = 474
41 + 433 = 474
43 + 431 = 474
53 + 421 = 474

Showing the first eight; more decompositions exist.

Unicode codepoint

Latin Small Letter U With Diaeresis And Caron

U+01DA

Lowercase letter (Ll)

UTF-8 encoding: C7 9A (2 bytes).

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

Hex color

#0001DA

RGB(0, 1, 218)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.1.218.

Address: 0.0.1.218
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.1.218

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

Musical pitch

Heard as a frequency, 474 Hz is closest to:

Concert pitch (A4 = 440 Hz): A♯4 (466.2 Hz, +29¢)
Scientific pitch (C4 = 256 Hz): B4 (483.3 Hz, -34¢)
Baroque pitch (A4 = 415 Hz): B4 (465.8 Hz, +30¢)