Base | Representation |
---|---|
bin | 10101001100010… |
… | …001110100000000 |
3 | 220210000022111110 |
4 | 111030101310000 |
5 | 1212004241344 |
6 | 55140243320 |
7 | 11545020264 |
oct | 2514216400 |
9 | 823008443 |
10 | 355540224 |
11 | 1727696a6 |
12 | 9b0a0540 |
13 | 58875b40 |
14 | 353100a4 |
15 | 213303b9 |
hex | 15311d00 |
355540224 has 144 divisors (see below), whose sum is σ = 1030176000. Its totient is φ = 108208128.
The previous prime is 355540223. The next prime is 355540231. The reversal of 355540224 is 422045553.
It is a junction number, because it is equal to n+sod(n) for n = 355540191 and 355540200.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (355540223) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1487497 + ... + 1487735.
It is an arithmetic number, because the mean of its divisors is an integer number (7154000).
Almost surely, 2355540224 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 355540224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515088000).
355540224 is an abundant number, since it is smaller than the sum of its proper divisors (674635776).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
355540224 is a wasteful number, since it uses less digits than its factorization.
355540224 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 420 (or 406 counting only the distinct ones).
The product of its (nonzero) digits is 24000, while the sum is 30.
The square root of 355540224 is about 18855.7742879999. The cubic root of 355540224 is about 708.4288633448.
Adding to 355540224 its reverse (422045553), we get a palindrome (777585777).
The spelling of 355540224 in words is "three hundred fifty-five million, five hundred forty thousand, two hundred twenty-four".
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