Live analysis

474,000

474,000 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

474,000 (four hundred seventy-four thousand) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3 × 5³ × 79. Its proper divisors sum to 1,073,520, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73B90.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Refactorable Number Weird Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

473,988 473,989 473,990 473,991 473,992 473,993 473,994 473,995 473,996 473,997 473,998 473,999 474,000 474,001 474,002 474,003 474,004 474,005 474,006 474,007 474,008 474,009 474,010 474,011 474,012

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 19 bits
Reversed: 474
Square (n²): 224,676,000,000
Cube (n³): 106,496,424,000,000,000
Divisor count: 80
σ(n) — sum of divisors: 1,547,520
φ(n) — Euler's totient: 124,800
Sum of prime factors: 105

Primality

Prime factorization: 2 ⁴ × 3 × 5 ³ × 79

Nearest primes: 473,999 (−1) · 474,017 (+17)

Divisors & multiples

All divisors (80)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 25 · 30 · 40 · 48 · 50 · 60 · 75 · 79 · 80 · 100 · 120 · 125 · 150 · 158 · 200 · 237 · 240 · 250 · 300 · 316 · 375 · 395 · 400 · 474 · 500 · 600 · 632 · 750 · 790 · 948 · 1000 · 1185 · 1200 · 1264 · 1500 · 1580 · 1896 · 1975 · 2000 · 2370 · 3000 · 3160 · 3792 · 3950 · 4740 · 5925 · 6000 · 6320 · 7900 · 9480 · 9875 · 11850 · 15800 · 18960 · 19750 · 23700 · 29625 · 31600 · 39500 · 47400 · 59250 · 79000 · 94800 · 118500 · 158000 · 237000 (half) · 474000

Aliquot sum (sum of proper divisors): 1,073,520

Factor pairs (a × b = 474,000)

1 × 474000

2 × 237000

3 × 158000

4 × 118500

5 × 94800

6 × 79000

8 × 59250

10 × 47400

12 × 39500

15 × 31600

16 × 29625

20 × 23700

24 × 19750

25 × 18960

30 × 15800

40 × 11850

48 × 9875

50 × 9480

60 × 7900

75 × 6320

79 × 6000

80 × 5925

100 × 4740

120 × 3950

125 × 3792

150 × 3160

158 × 3000

200 × 2370

237 × 2000

240 × 1975

250 × 1896

300 × 1580

316 × 1500

375 × 1264

395 × 1200

400 × 1185

474 × 1000

500 × 948

600 × 790

632 × 750

First multiples

474,000 · 948,000 (double) · 1,422,000 · 1,896,000 · 2,370,000 · 2,844,000 · 3,318,000 · 3,792,000 · 4,266,000 · 4,740,000

Sums & aliquot sequence

As consecutive integers: 157,999 + 158,000 + 158,001 94,798 + 94,799 + 94,800 + 94,801 + 94,802 31,593 + 31,594 + … + 31,607 18,948 + 18,949 + … + 18,972

Aliquot sequence: 474,000 → 1,073,520 → 3,211,920 → 7,858,800 → 20,625,240 → 41,250,840 → 92,055,720 → 184,111,800 → 386,636,640 → 924,974,976 → 1,563,172,224 → 2,589,005,016 → 5,047,350,984 → 9,674,092,116 → 17,643,893,964 — keeps growing

Continued fraction of √n

√474,000 = [688; (2, 10, 5, 1, 2, 1, 5, 10, 2, 1376)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words: four hundred seventy-four thousand
Ordinal: 474000th
Binary: 1110011101110010000
Octal: 1635620
Hexadecimal: 0x73B90
Base64: BzuQ
One's complement: 4,294,493,295 (32-bit)
Scientific notation: 4.74 × 10⁵
As a duration: 474,000 s = 5 days, 11 hours, 40 minutes

In other bases

ternary (3) 220002012120

quaternary (4) 1303232100

quinary (5) 110132000

senary (6) 14054240

septenary (7) 4012632

nonary (9) 802176

undecimal (11) 2a413a

duodecimal (12) 1aa380

tridecimal (13) 137997

tetradecimal (14) c4a52

pentadecimal (15) 956a0

As an angle

474,000° = 1,316 × 360° + 240°

240° ≈ 4.189 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹 𒌋𒌋𒌋𒌋 ·
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼
Greek (Milesian): ͵υοδ
Chinese: 四十七萬四千
Chinese (financial): 肆拾柒萬肆仟

In other modern scripts

Eastern Arabic ٤٧٤٠٠٠ Devanagari ४७४००० Bengali ৪৭৪০০০ Tamil ௪௭௪௦௦௦ Thai ๔๗๔๐๐๐ Tibetan ༤༧༤༠༠༠ Khmer ៤៧៤០០០ Lao ໔໗໔໐໐໐ Burmese ၄၇၄၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 474000, here are decompositions:

13 + 473987 = 474000
19 + 473981 = 474000
29 + 473971 = 474000
47 + 473953 = 474000
61 + 473939 = 474000
71 + 473929 = 474000
73 + 473927 = 474000
89 + 473911 = 474000

Showing the first eight; more decompositions exist.

Hex color

#073B90

RGB(7, 59, 144)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.59.144.

Address: 0.7.59.144
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.59.144

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

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 474,000 and was likely granted around 1892.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US474,000 on Google Patents ↗ Look up on USPTO ↗