Live analysis

1,016,340

1,016,340 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.).

1,016,340 (one million sixteen thousand three hundred forty) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 5 × 13 × 1,303. Its proper divisors sum to 2,050,668, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF8214.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,016,328 1,016,329 1,016,330 1,016,331 1,016,332 1,016,333 1,016,334 1,016,335 1,016,336 1,016,337 1,016,338 1,016,339 1,016,340 1,016,341 1,016,342 1,016,343 1,016,344 1,016,345 1,016,346 1,016,347 1,016,348 1,016,349 1,016,350 1,016,351 1,016,352

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 436,101
Square (n²): 1,032,946,995,600
Cube (n³): 1,049,825,349,508,104,000
Divisor count: 48
σ(n) — sum of divisors: 3,067,008
φ(n) — Euler's totient: 249,984
Sum of prime factors: 1,328

Primality

Prime factorization: 2 ² × 3 × 5 × 13 × 1303

Nearest primes: 1,016,339 (−1) · 1,016,341 (+1)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 13 · 15 · 20 · 26 · 30 · 39 · 52 · 60 · 65 · 78 · 130 · 156 · 195 · 260 · 390 · 780 · 1303 · 2606 · 3909 · 5212 · 6515 · 7818 · 13030 · 15636 · 16939 · 19545 · 26060 · 33878 · 39090 · 50817 · 67756 · 78180 · 84695 · 101634 · 169390 · 203268 · 254085 · 338780 · 508170 (half) · 1016340

Aliquot sum (sum of proper divisors): 2,050,668

Factor pairs (a × b = 1,016,340)

1 × 1016340

2 × 508170

3 × 338780

4 × 254085

5 × 203268

6 × 169390

10 × 101634

12 × 84695

13 × 78180

15 × 67756

20 × 50817

26 × 39090

30 × 33878

39 × 26060

52 × 19545

60 × 16939

65 × 15636

78 × 13030

130 × 7818

156 × 6515

195 × 5212

260 × 3909

390 × 2606

780 × 1303

First multiples

1,016,340 · 2,032,680 (double) · 3,049,020 · 4,065,360 · 5,081,700 · 6,098,040 · 7,114,380 · 8,130,720 · 9,147,060 · 10,163,400

Sums & aliquot sequence

As consecutive integers: 338,779 + 338,780 + 338,781 203,266 + 203,267 + 203,268 + 203,269 + 203,270 127,039 + 127,040 + … + 127,046 78,174 + 78,175 + … + 78,186

Aliquot sequence: 1,016,340 → 2,050,668 → 3,133,056 → 5,434,944 → 8,945,520 → 18,786,336 → 30,528,048 → 48,538,320 → 101,931,216 → 175,384,368 → 315,448,676 → 236,586,514 → 128,165,486 → 65,234,434 → 32,705,546 → 16,602,394 → 8,332,646 — unresolved within range

Continued fraction of √n

√1,016,340 = [1008; (7, 3, 3, 1, 1, 3, 4, 15, 2, 1, 1, 10, 1, 1, 5, 2, 2, 1, 5, 3, 4, 32, 1, 4, …)]

Representations

In words: one million sixteen thousand three hundred forty
Ordinal: 1016340th
Binary: 11111000001000010100
Octal: 3701024
Hexadecimal: 0xF8214
Base64: D4IU
One's complement: 4,293,950,955 (32-bit)
Scientific notation: 1.01634 × 10⁶
As a duration: 1,016,340 s = 11 days, 18 hours, 19 minutes

In other bases

ternary (3) 1220122011020

quaternary (4) 3320020110

quinary (5) 230010330

senary (6) 33441140

septenary (7) 11432043

nonary (9) 1818136

undecimal (11) 634656

duodecimal (12) 4101b0

tridecimal (13) 2977b0

tetradecimal (14) 1c655a

pentadecimal (15) 151210

As an angle

1,016,340° = 2,823 × 360° + 60°

60° ≈ 1.047 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Chinese: 一百零一萬六千三百四十
Chinese (financial): 壹佰零壹萬陸仟參佰肆拾

In other modern scripts

Eastern Arabic ١٠١٦٣٤٠ Devanagari १०१६३४० Bengali ১০১৬৩৪০ Tamil ௧௦௧௬௩௪௦ Thai ๑๐๑๖๓๔๐ Tibetan ༡༠༡༦༣༤༠ Khmer ១០១៦៣៤០ Lao ໑໐໑໖໓໔໐ Burmese ၁၀၁၆၃၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1016340, here are decompositions:

37 + 1016303 = 1016340
103 + 1016237 = 1016340
109 + 1016231 = 1016340
113 + 1016227 = 1016340
137 + 1016203 = 1016340
139 + 1016201 = 1016340
167 + 1016173 = 1016340
181 + 1016159 = 1016340

Showing the first eight; more decompositions exist.

Hex color

#0F8214

RGB(15, 130, 20)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.130.20.

Address: 0.15.130.20
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.130.20

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 1, 6340 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

6340-10-01 (MMDYYYY (US, single-digit day))
6340-01-10 (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 1,016,340 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 US1,016,340 on Google Patents ↗ Look up on USPTO ↗