Live analysis

940,320

940,320 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.).

940,320 (nine hundred forty thousand three hundred twenty) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2⁵ × 3² × 5 × 653. Its proper divisors sum to 2,273,436, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xE5920.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

940,308 940,309 940,310 940,311 940,312 940,313 940,314 940,315 940,316 940,317 940,318 940,319 940,320 940,321 940,322 940,323 940,324 940,325 940,326 940,327 940,328 940,329 940,330 940,331 940,332

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 23,049
Square (n²): 884,201,702,400
Cube (n³): 831,432,544,800,768,000
Divisor count: 72
σ(n) — sum of divisors: 3,213,756
φ(n) — Euler's totient: 250,368
Sum of prime factors: 674

Primality

Prime factorization: 2 ⁵ × 3 ² × 5 × 653

Nearest primes: 940,319 (−1) · 940,327 (+7)

Divisors & multiples

All divisors (72)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 16 · 18 · 20 · 24 · 30 · 32 · 36 · 40 · 45 · 48 · 60 · 72 · 80 · 90 · 96 · 120 · 144 · 160 · 180 · 240 · 288 · 360 · 480 · 653 · 720 · 1306 · 1440 · 1959 · 2612 · 3265 · 3918 · 5224 · 5877 · 6530 · 7836 · 9795 · 10448 · 11754 · 13060 · 15672 · 19590 · 20896 · 23508 · 26120 · 29385 · 31344 · 39180 · 47016 · 52240 · 58770 · 62688 · 78360 · 94032 · 104480 · 117540 · 156720 · 188064 · 235080 · 313440 · 470160 (half) · 940320

Aliquot sum (sum of proper divisors): 2,273,436

Factor pairs (a × b = 940,320)

1 × 940320

2 × 470160

3 × 313440

4 × 235080

5 × 188064

6 × 156720

8 × 117540

9 × 104480

10 × 94032

12 × 78360

15 × 62688

16 × 58770

18 × 52240

20 × 47016

24 × 39180

30 × 31344

32 × 29385

36 × 26120

40 × 23508

45 × 20896

48 × 19590

60 × 15672

72 × 13060

80 × 11754

90 × 10448

96 × 9795

120 × 7836

144 × 6530

160 × 5877

180 × 5224

240 × 3918

288 × 3265

360 × 2612

480 × 1959

653 × 1440

720 × 1306

First multiples

940,320 · 1,880,640 (double) · 2,820,960 · 3,761,280 · 4,701,600 · 5,641,920 · 6,582,240 · 7,522,560 · 8,462,880 · 9,403,200

Sums & aliquot sequence

As a sum of two squares: 204² + 948² = 636² + 732²

As consecutive integers: 313,439 + 313,440 + 313,441 188,062 + 188,063 + 188,064 + 188,065 + 188,066 104,476 + 104,477 + … + 104,484 62,681 + 62,682 + … + 62,695

Aliquot sequence: 940,320 → 2,273,436 → 3,996,828 → 7,025,820 → 13,685,220 → 28,892,700 → 70,632,180 → 146,075,220 → 323,093,844 → 493,615,686 → 493,615,698 → 493,840,398 → 493,840,410 → 862,466,790 → 1,212,644,346 → 1,300,325,574 → 1,300,325,586 — unresolved within range

Continued fraction of √n

√940,320 = [969; (1, 2, 2, 1, 9, 2, 4, 1, 12, 1, 1, 1, 6, 3, 2, 2, 2, 3, 2, 53, 2, 3, 2, 2, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words: nine hundred forty thousand three hundred twenty
Ordinal: 940320th
Binary: 11100101100100100000
Octal: 3454440
Hexadecimal: 0xE5920
Base64: Dlkg
One's complement: 4,294,026,975 (32-bit)
Scientific notation: 9.4032 × 10⁵
As a duration: 940,320 s = 10 days, 21 hours, 12 minutes

In other bases

ternary (3) 1202202212200

quaternary (4) 3211210200

quinary (5) 220042240

senary (6) 32053200

septenary (7) 10664313

nonary (9) 1682780

undecimal (11) 592527

duodecimal (12) 394200

tridecimal (13) 26c004

tetradecimal (14) 1a697a

pentadecimal (15) 138930

As an angle

940,320° = 2,612 × 360°

0° ≈ 0 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒁹 𒌋𒁹𒁹 ·
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓎆𓎆
Greek (Milesian): ͵ϡμτκʹ
Chinese: 九十四萬零三百二十
Chinese (financial): 玖拾肆萬零參佰貳拾

In other modern scripts

Eastern Arabic ٩٤٠٣٢٠ Devanagari ९४०३२० Bengali ৯৪০৩২০ Tamil ௯௪௦௩௨௦ Thai ๙๔๐๓๒๐ Tibetan ༩༤༠༣༢༠ Khmer ៩៤០៣២០ Lao ໙໔໐໓໒໐ Burmese ၉၄၀၃၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 940320, here are decompositions:

19 + 940301 = 940320
23 + 940297 = 940320
41 + 940279 = 940320
61 + 940259 = 940320
71 + 940249 = 940320
79 + 940241 = 940320
97 + 940223 = 940320
131 + 940189 = 940320

Showing the first eight; more decompositions exist.

Hex color

#0E5920

RGB(14, 89, 32)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.14.89.32.

Address: 0.14.89.32
Class: reserved
IPv4-mapped IPv6: ::ffff:0.14.89.32

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 940,320 and was likely granted around 1909.

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

Look up US940,320 on Google Patents ↗ Look up on USPTO ↗