Base | Representation |
---|---|
bin | 1000000111011… |
… | …1001010111010 |
3 | 2101001112121100 |
4 | 2001313022322 |
5 | 32203330204 |
6 | 3213352230 |
7 | 562233300 |
oct | 201671272 |
9 | 71045540 |
10 | 34042554 |
11 | 18241747 |
12 | b498676 |
13 | 708c030 |
14 | 4742270 |
15 | 2ec6a39 |
hex | 20772ba |
34042554 has 72 divisors (see below), whose sum is σ = 92432340. Its totient is φ = 8975232.
The previous prime is 34042531. The next prime is 34042559. The reversal of 34042554 is 45524043.
34042554 is a `hidden beast` number, since 3 + 404 + 255 + 4 = 666.
34042554 is digitally balanced in base 2, 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 24770529 + 9272025 = 4977^2 + 3045^2 .
It is not an unprimeable number, because it can be changed into a prime (34042559) 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 35 ways as a sum of consecutive naturals, for example, 9982 + ... + 12950.
Almost surely, 234042554 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 34042554, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46216170).
34042554 is an abundant number, since it is smaller than the sum of its proper divisors (58389786).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34042554 is a wasteful number, since it uses less digits than its factorization.
34042554 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3004 (or 2994 counting only the distinct ones).
The product of its (nonzero) digits is 9600, while the sum is 27.
The square root of 34042554 is about 5834.5997292017. The cubic root of 34042554 is about 324.0962791146.
Adding to 34042554 its reverse (45524043), we get a palindrome (79566597).
It can be divided in two parts, 34042 and 554, that added together give a square (34596 = 1862).
The spelling of 34042554 in words is "thirty-four million, forty-two thousand, five hundred fifty-four".
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