Live analysis

1,000,368

1,000,368 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.).

1,000,368 (one million three hundred sixty-eight) is an even 7-digit number. It is a composite number with 30 divisors, and factors as 2⁴ × 3² × 6,947. Its proper divisors sum to 1,799,676, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF43B0.

Abundant Number Evil Number Gapful Number Harshad / Niven Self Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,000,356 1,000,357 1,000,358 1,000,359 1,000,360 1,000,361 1,000,362 1,000,363 1,000,364 1,000,365 1,000,366 1,000,367 1,000,368 1,000,369 1,000,370 1,000,371 1,000,372 1,000,373 1,000,374 1,000,375 1,000,376 1,000,377 1,000,378 1,000,379 1,000,380

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 8,630,001
Square (n²): 1,000,736,135,424
Cube (n³): 1,001,104,406,321,836,032
Divisor count: 30
σ(n) — sum of divisors: 2,800,044
φ(n) — Euler's totient: 333,408
Sum of prime factors: 6,961

Primality

Prime factorization: 2 ⁴ × 3 ² × 6947

Nearest primes: 1,000,367 (−1) · 1,000,381 (+13)

Divisors & multiples

All divisors (30)

1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 36 · 48 · 72 · 144 · 6947 · 13894 · 20841 · 27788 · 41682 · 55576 · 62523 · 83364 · 111152 · 125046 · 166728 · 250092 · 333456 · 500184 (half) · 1000368

Aliquot sum (sum of proper divisors): 1,799,676

Factor pairs (a × b = 1,000,368)

1 × 1000368

2 × 500184

3 × 333456

4 × 250092

6 × 166728

8 × 125046

9 × 111152

12 × 83364

16 × 62523

18 × 55576

24 × 41682

36 × 27788

48 × 20841

72 × 13894

144 × 6947

First multiples

1,000,368 · 2,000,736 (double) · 3,001,104 · 4,001,472 · 5,001,840 · 6,002,208 · 7,002,576 · 8,002,944 · 9,003,312 · 10,003,680

Sums & aliquot sequence

As consecutive integers: 333,455 + 333,456 + 333,457 111,148 + 111,149 + … + 111,156 31,246 + 31,247 + … + 31,277 10,373 + 10,374 + … + 10,468

Aliquot sequence: 1,000,368 → 1,799,676 → 2,749,596 → 3,666,156 → 5,704,212 → 7,605,644 → 5,725,156 → 4,979,804 → 3,772,996 → 2,829,754 → 1,438,874 → 724,666 → 362,336 → 421,636 → 348,476 → 261,364 → 224,030 — unresolved within range

Continued fraction of √n

√1,000,368 = [1000; (5, 2, 3, 2, 1, 3, 11, 1, 2, 2, 2, 1, 1, 1, 61, 1, 7, 2, 1, 1, 2, 5, 27, 1, …)]

Period length 52 — the block in parentheses repeats forever.

Representations

In words: one million three hundred sixty-eight
Ordinal: 1000368th
Binary: 11110100001110110000
Octal: 3641660
Hexadecimal: 0xF43B0
Base64: D0Ow
One's complement: 4,293,966,927 (32-bit)
Scientific notation: 1.000368 × 10⁶
As a duration: 1,000,368 s = 11 days, 13 hours, 52 minutes, 48 seconds

In other bases

ternary (3) 1212211020200

quaternary (4) 3310032300

quinary (5) 224002433

senary (6) 33235200

septenary (7) 11334345

nonary (9) 1784220

undecimal (11) 623656

duodecimal (12) 402b00

tridecimal (13) 290445

tetradecimal (14) 1c07cc

pentadecimal (15) 14b613

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬零三百六十八
Chinese (financial): 壹佰萬零參佰陸拾捌

In other modern scripts

Eastern Arabic ١٠٠٠٣٦٨ Devanagari १०००३६८ Bengali ১০০০৩৬৮ Tamil ௧௦௦௦௩௬௮ Thai ๑๐๐๐๓๖๘ Tibetan ༡༠༠༠༣༦༨ Khmer ១០០០៣៦៨ Lao ໑໐໐໐໓໖໘ Burmese ၁၀၀၀၃၆၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1000368, here are decompositions:

11 + 1000357 = 1000368
79 + 1000289 = 1000368
137 + 1000231 = 1000368
157 + 1000211 = 1000368
181 + 1000187 = 1000368
197 + 1000171 = 1000368
251 + 1000117 = 1000368
269 + 1000099 = 1000368

Showing the first eight; more decompositions exist.

Hex color

#0F43B0

RGB(15, 67, 176)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.67.176.

Address: 0.15.67.176
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.67.176

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 1,000,368 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 US1,000,368 on Google Patents ↗ Look up on USPTO ↗