Live analysis

3,402

3,402 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.).

3,402 (three thousand four hundred two) is an even 4-digit number. It is a composite number with 24 divisors, and factors as 2 × 3⁵ × 7. Its proper divisors sum to 5,334, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MMMCDII and in binary, 110101001010.

Abundant Number Arithmetic Number Evil Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

3,390 3,391 3,392 3,393 3,394 3,395 3,396 3,397 3,398 3,399 3,400 3,401 3,402 3,403 3,404 3,405 3,406 3,407 3,408 3,409 3,410 3,411 3,412 3,413 3,414

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 12 bits
Reversed: 2,043
Recamán's sequence: a(15,087) = 3,402
Square (n²): 11,573,604
Cube (n³): 39,373,400,808
Divisor count: 24
σ(n) — sum of divisors: 8,736
φ(n) — Euler's totient: 972
Sum of prime factors: 24

Primality

Prime factorization: 2 × 3 ⁵ × 7

Nearest primes: 3,391 (−11) · 3,407 (+5)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 6 · 7 · 9 · 14 · 18 · 21 · 27 · 42 · 54 · 63 · 81 · 126 · 162 · 189 · 243 · 378 · 486 · 567 · 1134 · 1701 (half) · 3402

Aliquot sum (sum of proper divisors): 5,334

Factor pairs (a × b = 3,402)

1 × 3402

2 × 1701

3 × 1134

6 × 567

7 × 486

9 × 378

14 × 243

18 × 189

21 × 162

27 × 126

42 × 81

54 × 63

First multiples

3,402 · 6,804 (double) · 10,206 · 13,608 · 17,010 · 20,412 · 23,814 · 27,216 · 30,618 · 34,020

Sums & aliquot sequence

As a sum of two cubes: 3³ + 15³

As consecutive integers: 1,133 + 1,134 + 1,135 849 + 850 + 851 + 852 483 + 484 + … + 489 374 + 375 + … + 382

Aliquot sequence: 3,402 → 5,334 → 6,954 → 7,926 → 7,938 → 12,753 → 7,267 → 785 → 163 → 1 → 0 — terminates at zero

Continued fraction of √n

√3,402 = [58; (3, 16, 3, 116)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words: three thousand four hundred two
Ordinal: 3402nd
Roman numeral: MMMCDII
Binary: 110101001010
Octal: 6512
Hexadecimal: 0xD4A
Base64: DUo=
One's complement: 62,133 (16-bit)
Scientific notation: 3.402 × 10³
As a duration: 3,402 s = 56 minutes, 42 seconds

In other bases

ternary (3) 11200000

quaternary (4) 311022

quinary (5) 102102

senary (6) 23430

septenary (7) 12630

nonary (9) 4600

undecimal (11) 2613

duodecimal (12) 1b76

tridecimal (13) 1719

tetradecimal (14) 1350

pentadecimal (15) 101c

As an angle

3,402° = 9 × 360° + 162°

162° ≈ 2.827 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓏺𓏺
Greek (Milesian): ͵γυβʹ
Mayan (base 20): 𝋨·𝋪·𝋢
Chinese: 三千四百零二
Chinese (financial): 參仟肆佰零貳

In other modern scripts

Eastern Arabic ٣٤٠٢ Devanagari ३४०२ Bengali ৩৪০২ Tamil ௩௪௦௨ Thai ๓๔๐๒ Tibetan ༣༤༠༢ Khmer ៣៤០២ Lao ໓໔໐໒ Burmese ၃၄၀၂

Digit at this position in famous constants

π — Pi (π): Digit 3,402 = 7
e — Euler's number (e): Digit 3,402 = 4
φ — Golden ratio (φ): Digit 3,402 = 2
√2 — Pythagoras's (√2): Digit 3,402 = 3
ln 2 — Natural log of 2: Digit 3,402 = 1
γ — Euler-Mascheroni (γ): Digit 3,402 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 3402, here are decompositions:

11 + 3391 = 3402
13 + 3389 = 3402
29 + 3373 = 3402
31 + 3371 = 3402
41 + 3361 = 3402
43 + 3359 = 3402
59 + 3343 = 3402
71 + 3331 = 3402

Showing the first eight; more decompositions exist.

Unicode codepoint

ൊ

Malayalam Vowel Sign O

U+0D4A

Spacing combining mark (Mc)

UTF-8 encoding: E0 B5 8A (3 bytes).

Lookup U+0D4A on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000D4A

RGB(0, 13, 74)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.13.74.

Address: 0.0.13.74
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.13.74

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

Musical pitch

Heard as a frequency, 3,402 Hz is closest to:

Concert pitch (A4 = 440 Hz): G♯7 (3322.4 Hz, +41¢)
Scientific pitch (C4 = 256 Hz): A7 (3444.3 Hz, -21¢)
Baroque pitch (A4 = 415 Hz): A7 (3320 Hz, +42¢)

Position in π

The digit sequence 3402 first appears in π at position 6,538 of the decimal expansion (the 6,538ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 3402 on Pi Search ↗