| Base | Representation |
|---|---|
| bin | 10100000000000… |
| … | …000000000000000 |
| 3 | 212101101102021102 |
| 4 | 110000000000000 |
| 5 | 1141344404240 |
| 6 | 53143513532 |
| 7 | 11213036216 |
| oct | 2400000000 |
| 9 | 771342242 |
| 10 | 335544320 |
| 11 | 162451461 |
| 12 | 944588a8 |
| 13 | 54694547 |
| 14 | 327c6cb6 |
| 15 | 1e6d0815 |
| hex | 14000000 |
335544320 has 54 divisors (see below), whose sum is σ = 805306362. Its totient is φ = 134217728.
The previous prime is 335544301. The next prime is 335544323. The reversal of 335544320 is 23445533.
It can be written as a sum of positive squares in only one way, i.e., 268435456 + 67108864 = 16384^2 + 8192^2 .
It is a super-3 number, since 3×3355443203 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a nialpdrome in base 4.
It is a zygodrome in base 4.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (335544323) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (2) of ones.
In principle, a polygon with 335544320 sides can be constructed with ruler and compass.
It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67108862 + ... + 67108866.
Almost surely, 2335544320 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 335544320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402653181).
335544320 is an abundant number, since it is smaller than the sum of its proper divisors (469762042).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
335544320 is an frugal number, since it uses more digits than its factorization.
335544320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 57 (or 7 counting only the distinct ones).
The product of its (nonzero) digits is 21600, while the sum is 29.
The square root of 335544320 is about 18317.8688716783. The cubic root of 335544320 is about 694.8909098483.
Adding to 335544320 its reverse (23445533), we get a palindrome (358989853).
The spelling of 335544320 in words is "three hundred thirty-five million, five hundred forty-four thousand, three hundred twenty".
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