Live analysis

1,000,440

1,000,440 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.).

1,000,440 (one million four hundred forty) is an even 7-digit number. It is a composite number with 96 divisors, and factors as 2³ × 3² × 5 × 7 × 397. Its proper divisors sum to 2,724,840, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF43F8.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Weird Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,000,428 1,000,429 1,000,430 1,000,431 1,000,432 1,000,433 1,000,434 1,000,435 1,000,436 1,000,437 1,000,438 1,000,439 1,000,440 1,000,441 1,000,442 1,000,443 1,000,444 1,000,445 1,000,446 1,000,447 1,000,448 1,000,449 1,000,450 1,000,451 1,000,452

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 440,001
Square (n²): 1,000,880,193,600
Cube (n³): 1,001,320,580,885,184,000
Divisor count: 96
σ(n) — sum of divisors: 3,725,280
φ(n) — Euler's totient: 228,096
Sum of prime factors: 421

Primality

Prime factorization: 2 ³ × 3 ² × 5 × 7 × 397

Nearest primes: 1,000,429 (−11) · 1,000,453 (+13)

Divisors & multiples

All divisors (96)

1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 9 · 10 · 12 · 14 · 15 · 18 · 20 · 21 · 24 · 28 · 30 · 35 · 36 · 40 · 42 · 45 · 56 · 60 · 63 · 70 · 72 · 84 · 90 · 105 · 120 · 126 · 140 · 168 · 180 · 210 · 252 · 280 · 315 · 360 · 397 · 420 · 504 · 630 · 794 · 840 · 1191 · 1260 · 1588 · 1985 · 2382 · 2520 · 2779 · 3176 · 3573 · 3970 · 4764 · 5558 · 5955 · 7146 · 7940 · 8337 · 9528 · 11116 · 11910 · 13895 · 14292 · 15880 · 16674 · 17865 · 22232 · 23820 · 25011 · 27790 · 28584 · 33348 · 35730 · 41685 · 47640 · 50022 · 55580 · 66696 · 71460 · 83370 · 100044 · 111160 · 125055 · 142920 · 166740 · 200088 · 250110 · 333480 · 500220 (half) · 1000440

Aliquot sum (sum of proper divisors): 2,724,840

Factor pairs (a × b = 1,000,440)

1 × 1000440

2 × 500220

3 × 333480

4 × 250110

5 × 200088

6 × 166740

7 × 142920

8 × 125055

9 × 111160

10 × 100044

12 × 83370

14 × 71460

15 × 66696

18 × 55580

20 × 50022

21 × 47640

24 × 41685

28 × 35730

30 × 33348

35 × 28584

36 × 27790

40 × 25011

42 × 23820

45 × 22232

56 × 17865

60 × 16674

63 × 15880

70 × 14292

72 × 13895

84 × 11910

90 × 11116

105 × 9528

120 × 8337

126 × 7940

140 × 7146

168 × 5955

180 × 5558

210 × 4764

252 × 3970

280 × 3573

315 × 3176

360 × 2779

397 × 2520

420 × 2382

504 × 1985

630 × 1588

794 × 1260

840 × 1191

First multiples

1,000,440 · 2,000,880 (double) · 3,001,320 · 4,001,760 · 5,002,200 · 6,002,640 · 7,003,080 · 8,003,520 · 9,003,960 · 10,004,400

Sums & aliquot sequence

As consecutive integers: 333,479 + 333,480 + 333,481 200,086 + 200,087 + 200,088 + 200,089 + 200,090 142,917 + 142,918 + … + 142,923 111,156 + 111,157 + … + 111,164

Aliquot sequence: 1,000,440 → 2,724,840 → 6,760,350 → 11,722,842 → 13,927,302 → 17,367,234 → 19,410,654 → 19,410,666 → 27,176,214 → 31,680,978 → 41,731,758 → 50,791,530 → 71,108,214 → 71,263,626 → 101,208,054 → 103,295,994 → 103,716,006 — unresolved within range

Continued fraction of √n

√1,000,440 = [1000; (4, 1, 1, 4, 1, 15, 1, 2, 2, 11, 2, 2, 3, 1, 3, 2, 2, 11, 2, 2, 1, 15, 1, 4, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words: one million four hundred forty
Ordinal: 1000440th
Binary: 11110100001111111000
Octal: 3641770
Hexadecimal: 0xF43F8
Base64: D0P4
One's complement: 4,293,966,855 (32-bit)
Scientific notation: 1.00044 × 10⁶
As a duration: 1,000,440 s = 11 days, 13 hours, 54 minutes

In other bases

ternary (3) 1212211100100

quaternary (4) 3310033320

quinary (5) 224003230

senary (6) 33235400

septenary (7) 11334510

nonary (9) 1784310

undecimal (11) 623711

duodecimal (12) 402b60

tridecimal (13) 29049c

tetradecimal (14) 1c0840

pentadecimal (15) 14b660

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Chinese: 一百萬零四百四十
Chinese (financial): 壹佰萬零肆佰肆拾

In other modern scripts

Eastern Arabic ١٠٠٠٤٤٠ Devanagari १०००४४० Bengali ১০০০৪৪০ Tamil ௧௦௦௦௪௪௦ Thai ๑๐๐๐๔๔๐ Tibetan ༡༠༠༠༤༤༠ Khmer ១០០០៤៤០ Lao ໑໐໐໐໔໔໐ Burmese ၁၀၀၀၄၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1000440, here are decompositions:

11 + 1000429 = 1000440
13 + 1000427 = 1000440
17 + 1000423 = 1000440
31 + 1000409 = 1000440
37 + 1000403 = 1000440
43 + 1000397 = 1000440
47 + 1000393 = 1000440
59 + 1000381 = 1000440

Showing the first eight; more decompositions exist.

Hex color

#0F43F8

RGB(15, 67, 248)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.67.248.

Address: 0.15.67.248
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.67.248

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 1,000,440 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 US1,000,440 on Google Patents ↗ Look up on USPTO ↗