Base | Representation |
---|---|
bin | 10101001000011… |
… | …110001111010000 |
3 | 220201010121221100 |
4 | 111020132033100 |
5 | 1211230330134 |
6 | 55103024400 |
7 | 11533363506 |
oct | 2510361720 |
9 | 821117840 |
10 | 354542544 |
11 | 172148074 |
12 | 9a89b100 |
13 | 585b69b5 |
14 | 35130676 |
15 | 211d4999 |
hex | 1521e3d0 |
354542544 has 60 divisors (see below), whose sum is σ = 997445956. Its totient is φ = 117559296.
The previous prime is 354542543. The next prime is 354542563. The reversal of 354542544 is 445245453.
354542544 is a `hidden beast` number, since 35 + 45 + 42 + 544 = 666.
354542544 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 143712144 + 210830400 = 11988^2 + 14520^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 354542499 and 354542508.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (354542543) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21414 + ... + 34170.
Almost surely, 2354542544 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 354542544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498722978).
354542544 is an abundant number, since it is smaller than the sum of its proper divisors (642903412).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
354542544 is a wasteful number, since it uses less digits than its factorization.
354542544 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12964 (or 12955 counting only the distinct ones).
The product of its digits is 192000, while the sum is 36.
The square root of 354542544 is about 18829.3001463145. The cubic root of 354542544 is about 707.7656027668.
Adding to 354542544 its reverse (445245453), we get a palindrome (799787997).
The spelling of 354542544 in words is "three hundred fifty-four million, five hundred forty-two thousand, five hundred forty-four".
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