Live analysis

1,001,340

1,001,340 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.).

1,001,340 (one million one thousand three hundred forty) is an even 7-digit number. It is a composite number with 36 divisors, and factors as 2² × 3² × 5 × 5,563. Its proper divisors sum to 2,036,604, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF477C.

Abundant Number Cube-Free Gapful Number Harshad / Niven Odious Number Pernicious Number Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,001,328 1,001,329 1,001,330 1,001,331 1,001,332 1,001,333 1,001,334 1,001,335 1,001,336 1,001,337 1,001,338 1,001,339 1,001,340 1,001,341 1,001,342 1,001,343 1,001,344 1,001,345 1,001,346 1,001,347 1,001,348 1,001,349 1,001,350 1,001,351 1,001,352

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 431,001
Square (n²): 1,002,681,795,600
Cube (n³): 1,004,025,389,206,104,000
Divisor count: 36
σ(n) — sum of divisors: 3,037,944
φ(n) — Euler's totient: 266,976
Sum of prime factors: 5,578

Primality

Prime factorization: 2 ² × 3 ² × 5 × 5563

Nearest primes: 1,001,327 (−13) · 1,001,347 (+7)

Divisors & multiples

All divisors (36)

1 · 2 · 3 · 4 · 5 · 6 · 9 · 10 · 12 · 15 · 18 · 20 · 30 · 36 · 45 · 60 · 90 · 180 · 5563 · 11126 · 16689 · 22252 · 27815 · 33378 · 50067 · 55630 · 66756 · 83445 · 100134 · 111260 · 166890 · 200268 · 250335 · 333780 · 500670 (half) · 1001340

Aliquot sum (sum of proper divisors): 2,036,604

Factor pairs (a × b = 1,001,340)

1 × 1001340

2 × 500670

3 × 333780

4 × 250335

5 × 200268

6 × 166890

9 × 111260

10 × 100134

12 × 83445

15 × 66756

18 × 55630

20 × 50067

30 × 33378

36 × 27815

45 × 22252

60 × 16689

90 × 11126

180 × 5563

First multiples

1,001,340 · 2,002,680 (double) · 3,004,020 · 4,005,360 · 5,006,700 · 6,008,040 · 7,009,380 · 8,010,720 · 9,012,060 · 10,013,400

Sums & aliquot sequence

As consecutive integers: 333,779 + 333,780 + 333,781 200,266 + 200,267 + 200,268 + 200,269 + 200,270 125,164 + 125,165 + … + 125,171 111,256 + 111,257 + … + 111,264

Aliquot sequence: 1,001,340 → 2,036,604 → 3,059,844 → 4,079,820 → 7,477,908 → 10,397,292 → 14,088,708 → 22,958,652 → 30,611,564 → 22,958,680 → 28,698,440 → 37,096,240 → 52,906,928 → 51,046,240 → 97,879,712 → 122,350,144 → 158,716,096 — unresolved within range

Continued fraction of √n

√1,001,340 = [1000; (1, 2, 35, 2, 2, 7, 1, 9, 3, 32, 2, 17, 1, 6, 1, 1, 1, 1, 5, 1, 2, 1, 33, 5, …)]

Representations

In words: one million one thousand three hundred forty
Ordinal: 1001340th
Binary: 11110100011101111100
Octal: 3643574
Hexadecimal: 0xF477C
Base64: D0d8
One's complement: 4,293,965,955 (32-bit)
Scientific notation: 1.00134 × 10⁶
As a duration: 1,001,340 s = 11 days, 14 hours, 9 minutes

In other bases

ternary (3) 1212212120200

quaternary (4) 3310131330

quinary (5) 224020330

senary (6) 33243500

septenary (7) 11340234

nonary (9) 1785520

undecimal (11) 62435a

duodecimal (12) 403590

tridecimal (13) 290a12

tetradecimal (14) 1c0cc4

pentadecimal (15) 14ba60

As an angle

1,001,340° = 2,781 × 360° + 180°

180° ≈ 3.142 rad

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Chinese: 一百萬一千三百四十
Chinese (financial): 壹佰萬壹仟參佰肆拾

In other modern scripts

Eastern Arabic ١٠٠١٣٤٠ Devanagari १००१३४० Bengali ১০০১৩৪০ Tamil ௧௦௦௧௩௪௦ Thai ๑๐๐๑๓๔๐ Tibetan ༡༠༠༡༣༤༠ Khmer ១០០១៣៤០ Lao ໑໐໐໑໓໔໐ Burmese ၁၀၀၁၃၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001340, here are decompositions:

13 + 1001327 = 1001340
17 + 1001323 = 1001340
19 + 1001321 = 1001340
29 + 1001311 = 1001340
37 + 1001303 = 1001340
61 + 1001279 = 1001340
73 + 1001267 = 1001340
103 + 1001237 = 1001340

Showing the first eight; more decompositions exist.

Hex color

#0F477C

RGB(15, 71, 124)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.71.124.

Address: 0.15.71.124
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.71.124

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 1,001,340 and was likely granted around 1911.

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

Look up US1,001,340 on Google Patents ↗ Look up on USPTO ↗