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1,029,364

1,029,364 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.).

1,029,364 (one million twenty-nine thousand three hundred sixty-four) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 7 × 97 × 379. Its proper divisors sum to 1,056,076, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFB4F4.

Abundant Number Cube-Free Gapful Number Odious Number Pernicious Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
25
Digit product
0
Digital root
7
Palindrome
No
Bit width
20 bits
Reversed
4,639,201
Square (n²)
1,059,590,244,496
Cube (n³)
1,090,704,052,435,380,544
Divisor count
24
σ(n) — sum of divisors
2,085,440
φ(n) — Euler's totient
435,456
Sum of prime factors
487

Primality

Prime factorization: 2 2 × 7 × 97 × 379

Nearest primes: 1,029,361 (−3) · 1,029,383 (+19)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 7 · 14 · 28 · 97 · 194 · 379 · 388 · 679 · 758 · 1358 · 1516 · 2653 · 2716 · 5306 · 10612 · 36763 · 73526 · 147052 · 257341 · 514682 (half) · 1029364
Aliquot sum (sum of proper divisors): 1,056,076
Factor pairs (a × b = 1,029,364)
1 × 1029364
2 × 514682
4 × 257341
7 × 147052
14 × 73526
28 × 36763
97 × 10612
194 × 5306
379 × 2716
388 × 2653
679 × 1516
758 × 1358
First multiples
1,029,364 · 2,058,728 (double) · 3,088,092 · 4,117,456 · 5,146,820 · 6,176,184 · 7,205,548 · 8,234,912 · 9,264,276 · 10,293,640

Sums & aliquot sequence

As consecutive integers: 147,049 + 147,050 + … + 147,055 128,667 + 128,668 + … + 128,674 18,354 + 18,355 + … + 18,409 10,564 + 10,565 + … + 10,660
Aliquot sequence: 1,029,364 1,056,076 1,056,132 2,384,508 3,974,404 4,161,724 4,161,780 10,799,628 18,365,172 34,749,708 62,797,812 136,114,188 227,975,412 379,959,244 380,490,964 380,491,020 1,156,305,780 — unresolved within range

Continued fraction of √n

√1,029,364 = [1014; (1, 1, 2, 1, 3, 1, 57, 5, 3, 9, 1, 80, 3, 1, 4, 21, 1, 1, 1, 1, 4, 5, 8, 6, …)]

Representations

In words
one million twenty-nine thousand three hundred sixty-four
Ordinal
1029364th
Binary
11111011010011110100
Octal
3732364
Hexadecimal
0xFB4F4
Base64
D7T0
One's complement
4,293,937,931 (32-bit)
Scientific notation
1.029364 × 10⁶
As a duration
1,029,364 s = 11 days, 21 hours, 56 minutes, 4 seconds
In other bases
ternary (3) 1221022000121
quaternary (4) 3323103310
quinary (5) 230414424
senary (6) 34021324
septenary (7) 11515030
nonary (9) 1838017
undecimal (11) 643416
duodecimal (12) 417844
tridecimal (13) 2a06bb
tetradecimal (14) 1cb1c0
pentadecimal (15) 154ee4

As an angle

1,029,364° = 2,859 × 360° + 124°
124° ≈ 2.164 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese
一百零二萬九千三百六十四
Chinese (financial)
壹佰零貳萬玖仟參佰陸拾肆
In other modern scripts
Eastern Arabic ١٠٢٩٣٦٤ Devanagari १०२९३६४ Bengali ১০২৯৩৬৪ Tamil ௧௦௨௯௩௬௪ Thai ๑๐๒๙๓๖๔ Tibetan ༡༠༢༩༣༦༤ Khmer ១០២៩៣៦៤ Lao ໑໐໒໙໓໖໔ Burmese ၁၀၂၉၃၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1029364, here are decompositions:

  • 3 + 1029361 = 1029364
  • 5 + 1029359 = 1029364
  • 23 + 1029341 = 1029364
  • 41 + 1029323 = 1029364
  • 101 + 1029263 = 1029364
  • 113 + 1029251 = 1029364
  • 173 + 1029191 = 1029364
  • 197 + 1029167 = 1029364

Showing the first eight; more decompositions exist.

Hex color
#0FB4F4
RGB(15, 180, 244)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.180.244.

Address
0.15.180.244
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.180.244

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 2, 9364 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 9364-02-01 (DMMYYYY (Euro, single-digit day))
  • 9364-10-02 (MMDYYYY (US, single-digit day))
  • 9364-02-10 (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 1,029,364 and was likely granted around 1912.

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

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.