Live analysis

1,024,440

1,024,440 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.).

1,024,440 (one million twenty-four thousand four hundred forty) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 5 × 8,537. Its proper divisors sum to 2,049,240, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFA1B8.

Abundant Number Gapful Number Harshad / Niven Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,024,428 1,024,429 1,024,430 1,024,431 1,024,432 1,024,433 1,024,434 1,024,435 1,024,436 1,024,437 1,024,438 1,024,439 1,024,440 1,024,441 1,024,442 1,024,443 1,024,444 1,024,445 1,024,446 1,024,447 1,024,448 1,024,449 1,024,450 1,024,451 1,024,452

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 444,201
Square (n²): 1,049,477,313,600
Cube (n³): 1,075,126,539,144,384,000
Divisor count: 32
σ(n) — sum of divisors: 3,073,680
φ(n) — Euler's totient: 273,152
Sum of prime factors: 8,551

Primality

Prime factorization: 2 ³ × 3 × 5 × 8537

Nearest primes: 1,024,433 (−7) · 1,024,477 (+37)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 20 · 24 · 30 · 40 · 60 · 120 · 8537 · 17074 · 25611 · 34148 · 42685 · 51222 · 68296 · 85370 · 102444 · 128055 · 170740 · 204888 · 256110 · 341480 · 512220 (half) · 1024440

Aliquot sum (sum of proper divisors): 2,049,240

Factor pairs (a × b = 1,024,440)

1 × 1024440

2 × 512220

3 × 341480

4 × 256110

5 × 204888

6 × 170740

8 × 128055

10 × 102444

12 × 85370

15 × 68296

20 × 51222

24 × 42685

30 × 34148

40 × 25611

60 × 17074

120 × 8537

First multiples

1,024,440 · 2,048,880 (double) · 3,073,320 · 4,097,760 · 5,122,200 · 6,146,640 · 7,171,080 · 8,195,520 · 9,219,960 · 10,244,400

Sums & aliquot sequence

As consecutive integers: 341,479 + 341,480 + 341,481 204,886 + 204,887 + 204,888 + 204,889 + 204,890 68,289 + 68,290 + … + 68,303 64,020 + 64,021 + … + 64,035

Aliquot sequence: 1,024,440 → 2,049,240 → 4,098,840 → 8,198,040 → 16,879,560 → 33,759,480 → 73,160,520 → 159,238,200 → 403,225,800 → 846,776,040 → 2,079,669,720 → 4,360,609,320 → 8,734,399,320 → 17,468,799,000 — keeps growing

Continued fraction of √n

√1,024,440 = [1012; (6, 1, 5, 5, 2, 1, 1, 3, 1, 1, 1, 1, 1, 1, 18, 1, 5, 1, 1, 3, 1, 2, 35, 1, …)]

Representations

In words: one million twenty-four thousand four hundred forty
Ordinal: 1024440th
Binary: 11111010000110111000
Octal: 3720670
Hexadecimal: 0xFA1B8
Base64: D6G4
One's complement: 4,293,942,855 (32-bit)
Scientific notation: 1.02444 × 10⁶
As a duration: 1,024,440 s = 11 days, 20 hours, 34 minutes

In other bases

ternary (3) 1221001021020

quaternary (4) 3322012320

quinary (5) 230240230

senary (6) 33542440

septenary (7) 11464464

nonary (9) 1831236

undecimal (11) 63a74a

duodecimal (12) 414a20

tridecimal (13) 29b3a1

tetradecimal (14) 1c94a4

pentadecimal (15) 153810

As an angle

1,024,440° = 2,845 × 360° + 240°

240° ≈ 4.189 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Chinese: 一百零二萬四千四百四十
Chinese (financial): 壹佰零貳萬肆仟肆佰肆拾

In other modern scripts

Eastern Arabic ١٠٢٤٤٤٠ Devanagari १०२४४४० Bengali ১০২৪৪৪০ Tamil ௧௦௨௪௪௪௦ Thai ๑๐๒๔๔๔๐ Tibetan ༡༠༢༤༤༤༠ Khmer ១០២៤៤៤០ Lao ໑໐໒໔໔໔໐ Burmese ၁၀၂၄၄၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1024440, here are decompositions:

7 + 1024433 = 1024440
13 + 1024427 = 1024440
19 + 1024421 = 1024440
29 + 1024411 = 1024440
41 + 1024399 = 1024440
61 + 1024379 = 1024440
83 + 1024357 = 1024440
101 + 1024339 = 1024440

Showing the first eight; more decompositions exist.

Hex color

#0FA1B8

RGB(15, 161, 184)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.161.184.

Address: 0.15.161.184
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.161.184

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 2, 4440 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

4440-02-01 (DMMYYYY (Euro, single-digit day))
4440-10-02 (MMDYYYY (US, single-digit day))
4440-02-10 (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 1,024,440 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 US1,024,440 on Google Patents ↗ Look up on USPTO ↗