Base | Representation |
---|---|
bin | 1010110110000010000 |
3 | 200001102220 |
4 | 1112300100 |
5 | 42332334 |
6 | 11341040 |
7 | 3006663 |
oct | 1266020 |
9 | 601386 |
10 | 355344 |
11 | 222a80 |
12 | 151780 |
13 | c5982 |
14 | 936da |
15 | 70449 |
hex | 56c10 |
355344 has 40 divisors (see below), whose sum is σ = 1002912. Its totient is φ = 107520.
The previous prime is 355343. The next prime is 355361. The reversal of 355344 is 443553.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is an Ulam number.
It is a d-powerful number, because it can be written as 311 + 5 + 311 + 5 + 42 + 45 .
It is not an unprimeable number, because it can be changed into a prime (355343) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 192 + ... + 864.
2355344 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 355344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501456).
355344 is an abundant number, since it is smaller than the sum of its proper divisors (647568).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
355344 is a wasteful number, since it uses less digits than its factorization.
355344 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 695 (or 689 counting only the distinct ones).
The product of its digits is 3600, while the sum is 24.
The square root of 355344 is about 596.1073728784. The cubic root of 355344 is about 70.8298511168.
Adding to 355344 its reverse (443553), we get a palindrome (798897).
Subtracting 355344 from its reverse (443553), we obtain a square (88209 = 2972).
The spelling of 355344 in words is "three hundred fifty-five thousand, three hundred forty-four".
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