Base | Representation |
---|---|
bin | 10101000110011… |
… | …010100010100000 |
3 | 220200010012222002 |
4 | 111012122202200 |
5 | 1211111044404 |
6 | 55043303132 |
7 | 11525656010 |
oct | 2506324240 |
9 | 820105862 |
10 | 354003104 |
11 | 171909854 |
12 | 9a67aaa8 |
13 | 584582c0 |
14 | 3502dc40 |
15 | 21129c1e |
hex | 1519a8a0 |
354003104 has 96 divisors (see below), whose sum is σ = 908361216. Its totient is φ = 131788800.
The previous prime is 354003103. The next prime is 354003113. The reversal of 354003104 is 401300453.
It is not an unprimeable number, because it can be changed into a prime (354003103) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45929 + ... + 53079.
It is an arithmetic number, because the mean of its divisors is an integer number (9462096).
Almost surely, 2354003104 is an apocalyptic number.
354003104 is a gapful number since it is divisible by the number (34) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 354003104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454180608).
354003104 is an abundant number, since it is smaller than the sum of its proper divisors (554358112).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
354003104 is a wasteful number, since it uses less digits than its factorization.
354003104 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7198 (or 7190 counting only the distinct ones).
The product of its (nonzero) digits is 720, while the sum is 20.
The square root of 354003104 is about 18814.9702099153. The cubic root of 354003104 is about 707.4064630970.
Adding to 354003104 its reverse (401300453), we get a palindrome (755303557).
The spelling of 354003104 in words is "three hundred fifty-four million, three thousand, one hundred four".
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