Live analysis

1,040,364

1,040,364 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.).

1,040,364 (one million forty thousand three hundred sixty-four) is an even 7-digit number. It is a composite number with 90 divisors, and factors as 2² × 3⁴ × 13² × 19. Its proper divisors sum to 2,059,656, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFDFEC.

Abundant Number Evil Number Harshad / Niven Practical Number Weird Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,040,352 1,040,353 1,040,354 1,040,355 1,040,356 1,040,357 1,040,358 1,040,359 1,040,360 1,040,361 1,040,362 1,040,363 1,040,364 1,040,365 1,040,366 1,040,367 1,040,368 1,040,369 1,040,370 1,040,371 1,040,372 1,040,373 1,040,374 1,040,375 1,040,376

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 4,630,401
Square (n²): 1,082,357,252,496
Cube (n³): 1,126,045,520,635,748,544
Divisor count: 90
σ(n) — sum of divisors: 3,100,020
φ(n) — Euler's totient: 303,264
Sum of prime factors: 61

Primality

Prime factorization: 2 ² × 3 ⁴ × 13 ² × 19

Nearest primes: 1,040,353 (−11) · 1,040,371 (+7)

Divisors & multiples

All divisors (90)

1 · 2 · 3 · 4 · 6 · 9 · 12 · 13 · 18 · 19 · 26 · 27 · 36 · 38 · 39 · 52 · 54 · 57 · 76 · 78 · 81 · 108 · 114 · 117 · 156 · 162 · 169 · 171 · 228 · 234 · 247 · 324 · 338 · 342 · 351 · 468 · 494 · 507 · 513 · 676 · 684 · 702 · 741 · 988 · 1014 · 1026 · 1053 · 1404 · 1482 · 1521 · 1539 · 2028 · 2052 · 2106 · 2223 · 2964 · 3042 · 3078 · 3211 · 4212 · 4446 · 4563 · 6084 · 6156 · 6422 · 6669 · 8892 · 9126 · 9633 · 12844 · 13338 · 13689 · 18252 · 19266 · 20007 · 26676 · 27378 · 28899 · 38532 · 40014 · 54756 · 57798 · 80028 · 86697 · 115596 · 173394 · 260091 · 346788 · 520182 (half) · 1040364

Aliquot sum (sum of proper divisors): 2,059,656

Factor pairs (a × b = 1,040,364)

1 × 1040364

2 × 520182

3 × 346788

4 × 260091

6 × 173394

9 × 115596

12 × 86697

13 × 80028

18 × 57798

19 × 54756

26 × 40014

27 × 38532

36 × 28899

38 × 27378

39 × 26676

52 × 20007

54 × 19266

57 × 18252

76 × 13689

78 × 13338

81 × 12844

108 × 9633

114 × 9126

117 × 8892

156 × 6669

162 × 6422

169 × 6156

171 × 6084

228 × 4563

234 × 4446

247 × 4212

324 × 3211

338 × 3078

342 × 3042

351 × 2964

468 × 2223

494 × 2106

507 × 2052

513 × 2028

676 × 1539

684 × 1521

702 × 1482

741 × 1404

988 × 1053

1014 × 1026

First multiples

1,040,364 · 2,080,728 (double) · 3,121,092 · 4,161,456 · 5,201,820 · 6,242,184 · 7,282,548 · 8,322,912 · 9,363,276 · 10,403,640

Sums & aliquot sequence

As consecutive integers: 346,787 + 346,788 + 346,789 130,042 + 130,043 + … + 130,049 115,592 + 115,593 + … + 115,600 80,022 + 80,023 + … + 80,034

Aliquot sequence: 1,040,364 → 2,059,656 → 3,089,544 → 5,291,256 → 7,936,944 → 13,832,496 → 24,879,684 → 34,269,756 → 53,144,004 → 71,304,796 → 60,397,684 → 45,536,816 → 50,811,184 → 47,814,200 → 92,801,800 → 172,806,200 → 286,368,280 — unresolved within range

Continued fraction of √n

√1,040,364 = [1019; (1, 55, 1, 1, 1, 225, 1, 508, 1, 225, 1, 1, 1, 55, 1, 2038)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words: one million forty thousand three hundred sixty-four
Ordinal: 1040364th
Binary: 11111101111111101100
Octal: 3757754
Hexadecimal: 0xFDFEC
Base64: D9/s
One's complement: 4,293,926,931 (32-bit)
Scientific notation: 1.040364 × 10⁶
As a duration: 1,040,364 s = 12 days, 59 minutes, 24 seconds

In other bases

ternary (3) 1221212010000

quaternary (4) 3331333230

quinary (5) 231242424

senary (6) 34144300

septenary (7) 11562063

nonary (9) 1855100

undecimal (11) 650706

duodecimal (12) 422090

tridecimal (13) 2a5700

tetradecimal (14) 1d11da

pentadecimal (15) 1583c9

As an angle

1,040,364° = 2,889 × 360° + 324°

324° ≈ 5.655 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese: 一百零四萬零三百六十四
Chinese (financial): 壹佰零肆萬零參佰陸拾肆

In other modern scripts

Eastern Arabic ١٠٤٠٣٦٤ Devanagari १०४०३६४ Bengali ১০৪০৩৬৪ Tamil ௧௦௪௦௩௬௪ Thai ๑๐๔๐๓๖๔ Tibetan ༡༠༤༠༣༦༤ Khmer ១០៤០៣៦៤ Lao ໑໐໔໐໓໖໔ Burmese ၁၀၄၀၃၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1040364, here are decompositions:

11 + 1040353 = 1040364
37 + 1040327 = 1040364
53 + 1040311 = 1040364
137 + 1040227 = 1040364
173 + 1040191 = 1040364
181 + 1040183 = 1040364
197 + 1040167 = 1040364
211 + 1040153 = 1040364

Showing the first eight; more decompositions exist.

Hex color

#0FDFEC

RGB(15, 223, 236)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.223.236.

Address: 0.15.223.236
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.223.236

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 4, 0364 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

0364-04-01 (DMMYYYY (Euro, single-digit day))
0364-10-04 (MMDYYYY (US, single-digit day))
0364-04-10 (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 1,040,364 and was likely granted around 1912.

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

Look up US1,040,364 on Google Patents ↗ Look up on USPTO ↗