Base | Representation |
---|---|
bin | 10101001011011… |
… | …100000101010000 |
3 | 220202121010121100 |
4 | 111023130011100 |
5 | 1211430221034 |
6 | 55131424400 |
7 | 11543112534 |
oct | 2513340520 |
9 | 822533540 |
10 | 355320144 |
11 | 172629313 |
12 | 9abb5100 |
13 | 587c990a |
14 | 35293bc4 |
15 | 212da099 |
hex | 152dc150 |
355320144 has 60 divisors (see below), whose sum is σ = 996459412. Its totient is φ = 118195200.
The previous prime is 355320113. The next prime is 355320157. The reversal of 355320144 is 441023553.
355320144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 2 ways, for example, as 129960000 + 225360144 = 11400^2 + 15012^2 .
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75624 + ... + 80184.
Almost surely, 2355320144 is an apocalyptic number.
It is an amenable number.
355320144 is an abundant number, since it is smaller than the sum of its proper divisors (641139268).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
355320144 is a wasteful number, since it uses less digits than its factorization.
355320144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5116 (or 5107 counting only the distinct ones).
The product of its (nonzero) digits is 7200, while the sum is 27.
The square root of 355320144 is about 18849.9375065277. The cubic root of 355320144 is about 708.2826602858.
Adding to 355320144 its reverse (441023553), we get a palindrome (796343697).
The spelling of 355320144 in words is "three hundred fifty-five million, three hundred twenty thousand, one hundred forty-four".
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