Numberwise

324

The Eiffel Tower is about 324 metres tall including its antennas.

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Where 324 fits

Where 324 fits: Mathematics, Related numbersMathematics: Perfect square, Powerful number, Harshad (Niven) number. Related numbers: 630, 1063.MathematicsPerfect squarePowerful numberHarshad (Niven) numberRelated numbers6301063324
324 connects to 2 worlds: mathematics, related numbers.

Why 324 is special

It grows by several centimetres in summer as the iron expands, and it was the world's tallest structure for 41 years. Two hundred and fifty scientists and artists signed a petition against building it.

324 is part of

Factors & digit properties

Divisors (15)
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
Prime factorisation
2^2 × 3^4
Digit sum
9
Digital root
9

Representations

Decimal
324
Scientific notation
3.240 × 10^2

Roman numerals

C C C X X I V

CCCXXIV uses the subtractive pair IV: one before five — five minus one.

Binary

1 0 1 0 0 0 1 0 0

1 × 256 + 0 × 128 + 1 × 64 + 0 × 32 + 0 × 16 + 0 × 8 + 1 × 4 + 0 × 2 + 0 × 1 = 324

Octal

5 0 4

5 × 64 + 0 × 8 + 4 × 1 = 324

Hexadecimal

1 4 4

1 × 256 + 4 × 16 + 4 × 1 = 324

Read as powers of two: 256 + 64 + 4 = 324.

In historical numeral systems

Egyptian

3 coils of rope, 2 hobbles, 4 strokes

3 × 100 + 2 × 10 + 4 × 1 = 324. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.

Babylonian

5 vertical wedges (sixties place), 2 corner wedges + 4 vertical wedges (units place)

5 × 60 + 24 = 324. Places are separated by a space on the tablet, with the higher place written first.

Greek (Ionic)

tau, then kappa, then delta, marked as a numeral

tau-kappa-delta + keraia

tau + kappa + delta written in descending order and added — the letters carry their values wherever they stand, so this is addition, not place value.

Hebrew numerals

shin, then kaf, then dalet

shin-kaf-dalet

shin (300) + kaf (20) + dalet (4) = 324, written in descending order.

Maya

3 bars + 1 dot (upper, twenties place) over 4 dots (lower, units place)

16 × 20 + 4 = 324. Places stack vertically with the smallest at the bottom, so the upper group is worth twenty times the lower.

Systems that simply cannot reach this value are left out. Where a script needs a font most readers do not have, the reading is given instead of the glyphs — see number systems for each system in full.

Other mathematical patterns

  • Abundant number
  • Powerful number
  • Harshad (Niven) number

Related numbers & connections

Connection
The Gateway Arch stands in pure compression as an inverted catenary; the Eiffel Tower is a lattice carrying load in tension and compression together. Two different answers to holding up a tall structure.

The Gateway Arch stands in pure compression as an inverted catenary; the Eiffel Tower is a lattice carrying load in tension and compression together. Two different answers to holding up a tall structure.

View 630

Other connections

  • contrasts with630
    why?

    Strength 0.50, confidence "high".

  • is associated with1063
    why?

    Strength 0.50, confidence "high".

How is 324 connected to another number? →

Technology & computing

  • The Eiffel Tower's iron expands in heat, so it is measurably taller in summer than winter. Its height including antennas is about 324 m, and it held the tallest-structure record from 1889 to 1930.

    DocumentedTechnology & computingGeography: Paris, FrancePeriod: 1889

Common questions

Is 324 a prime number?

No, 324 is not prime.

What are the factors of 324?

The factors of 324 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324.

What is 324 in Roman numerals?

324 in Roman numerals is CCCXXIV. IV is subtractive: one before five — five minus one. Written additively it would be CCCXXIIII, which Roman inscriptions used freely — the strict subtractive form is a later convention.

About this page's data

Mathematical facts:computed directly from the number's value — nothing to source or verify externally.

Contextual records: 1 reviewer-confirmed record, sourced and reviewed before publication.

Last reviewed: 15 July 2026