Live analysis

1,013,340

1,013,340 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.).

1,013,340 (one million thirteen thousand three hundred forty) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 5 × 16,889. Its proper divisors sum to 1,824,180, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF765C.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,013,328 1,013,329 1,013,330 1,013,331 1,013,332 1,013,333 1,013,334 1,013,335 1,013,336 1,013,337 1,013,338 1,013,339 1,013,340 1,013,341 1,013,342 1,013,343 1,013,344 1,013,345 1,013,346 1,013,347 1,013,348 1,013,349 1,013,350 1,013,351 1,013,352

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 433,101
Square (n²): 1,026,857,955,600
Cube (n³): 1,040,556,240,727,704,000
Divisor count: 24
σ(n) — sum of divisors: 2,837,520
φ(n) — Euler's totient: 270,208
Sum of prime factors: 16,901

Primality

Prime factorization: 2 ² × 3 × 5 × 16889

Nearest primes: 1,013,329 (−11) · 1,013,377 (+37)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 15 · 20 · 30 · 60 · 16889 · 33778 · 50667 · 67556 · 84445 · 101334 · 168890 · 202668 · 253335 · 337780 · 506670 (half) · 1013340

Aliquot sum (sum of proper divisors): 1,824,180

Factor pairs (a × b = 1,013,340)

1 × 1013340

2 × 506670

3 × 337780

4 × 253335

5 × 202668

6 × 168890

10 × 101334

12 × 84445

15 × 67556

20 × 50667

30 × 33778

60 × 16889

First multiples

1,013,340 · 2,026,680 (double) · 3,040,020 · 4,053,360 · 5,066,700 · 6,080,040 · 7,093,380 · 8,106,720 · 9,120,060 · 10,133,400

Sums & aliquot sequence

As consecutive integers: 337,779 + 337,780 + 337,781 202,666 + 202,667 + 202,668 + 202,669 + 202,670 126,664 + 126,665 + … + 126,671 67,549 + 67,550 + … + 67,563

Aliquot sequence: 1,013,340 → 1,824,180 → 3,283,692 → 4,378,284 → 7,655,556 → 11,148,124 → 11,099,444 → 8,418,124 → 8,890,244 → 8,265,244 → 7,610,756 → 5,727,436 → 7,820,084 → 5,865,070 → 4,798,418 → 2,552,494 → 2,014,034 — unresolved within range

Continued fraction of √n

√1,013,340 = [1006; (1, 1, 1, 5, 3, 1, 12, 6, 1, 7, 1, 13, 1, 10, 1, 49, 2, 2, 2, 14, 2, 1, 1, 2, …)]

Representations

In words: one million thirteen thousand three hundred forty
Ordinal: 1013340th
Binary: 11110111011001011100
Octal: 3673134
Hexadecimal: 0xF765C
Base64: D3Zc
One's complement: 4,293,953,955 (32-bit)
Scientific notation: 1.01334 × 10⁶
As a duration: 1,013,340 s = 11 days, 17 hours, 29 minutes

In other bases

ternary (3) 1220111001010

quaternary (4) 3313121130

quinary (5) 224411330

senary (6) 33415220

septenary (7) 11420226

nonary (9) 1814033

undecimal (11) 632379

duodecimal (12) 40a510

tridecimal (13) 296313

tetradecimal (14) 1c5416

pentadecimal (15) 1503b0

As an angle

1,013,340° = 2,814 × 360° + 300°

300° ≈ 5.236 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Chinese: 一百零一萬三千三百四十
Chinese (financial): 壹佰零壹萬參仟參佰肆拾

In other modern scripts

Eastern Arabic ١٠١٣٣٤٠ Devanagari १०१३३४० Bengali ১০১৩৩৪০ Tamil ௧௦௧௩௩௪௦ Thai ๑๐๑๓๓๔๐ Tibetan ༡༠༡༣༣༤༠ Khmer ១០១៣៣៤០ Lao ໑໐໑໓໓໔໐ Burmese ၁၀၁၃၃၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013340, here are decompositions:

11 + 1013329 = 1013340
19 + 1013321 = 1013340
61 + 1013279 = 1013340
73 + 1013267 = 1013340
101 + 1013239 = 1013340
103 + 1013237 = 1013340
113 + 1013227 = 1013340
137 + 1013203 = 1013340

Showing the first eight; more decompositions exist.

Hex color

#0F765C

RGB(15, 118, 92)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.118.92.

Address: 0.15.118.92
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.118.92

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 1, 3340 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3340-10-01 (MMDYYYY (US, single-digit day))
3340-01-10 (DDMYYYY (Euro, single-digit month))

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 1,013,340 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 US1,013,340 on Google Patents ↗ Look up on USPTO ↗