Base | Representation |
---|---|
bin | 10101000111010… |
… | …101001011010000 |
3 | 220200120102102111 |
4 | 111013111023100 |
5 | 1211141241110 |
6 | 55052355104 |
7 | 11531006146 |
oct | 2507251320 |
9 | 820512374 |
10 | 354243280 |
11 | 171a63246 |
12 | 9a775a94 |
13 | 58510711 |
14 | 35093596 |
15 | 21175e8a |
hex | 151d52d0 |
354243280 has 80 divisors (see below), whose sum is σ = 893474064. Its totient is φ = 130088960.
The previous prime is 354243247. The next prime is 354243289. The reversal of 354243280 is 82342453.
354243280 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 8 ways, for example, as 17740944 + 336502336 = 4212^2 + 18344^2 .
It is a tau number, because it is divible by the number of its divisors (80).
It is a super-3 number, since 3×3542432803 (a number of 27 digits) contains 333 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (354243289) 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 15 ways as a sum of consecutive naturals, for example, 52584 + ... + 58936.
Almost surely, 2354243280 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 354243280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446737032).
354243280 is an abundant number, since it is smaller than the sum of its proper divisors (539230784).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
354243280 is a wasteful number, since it uses less digits than its factorization.
354243280 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6424 (or 6418 counting only the distinct ones).
The product of its (nonzero) digits is 23040, while the sum is 31.
The square root of 354243280 is about 18821.3517049122. The cubic root of 354243280 is about 707.5664086299.
The spelling of 354243280 in words is "three hundred fifty-four million, two hundred forty-three thousand, two hundred eighty".
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