Base | Representation |
---|---|
bin | 10011111010110… |
… | …111110011101010 |
3 | 212021212010021100 |
4 | 103322313303222 |
5 | 1141023400132 |
6 | 53055022230 |
7 | 11165440101 |
oct | 2372676352 |
9 | 767763240 |
10 | 334200042 |
11 | 161713490 |
12 | 93b0a976 |
13 | 54313707 |
14 | 32557038 |
15 | 1e51737c |
hex | 13eb7cea |
334200042 has 96 divisors (see below), whose sum is σ = 856215360. Its totient is φ = 93058560.
The previous prime is 334200037. The next prime is 334200049. The reversal of 334200042 is 240002433.
334200042 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×3342000422 = 223379336145603528, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 334199988 and 334200024.
It is not an unprimeable number, because it can be changed into a prime (334200049) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 143584 + ... + 145892.
It is an arithmetic number, because the mean of its divisors is an integer number (8918910).
Almost surely, 2334200042 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 334200042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428107680).
334200042 is an abundant number, since it is smaller than the sum of its proper divisors (522015318).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
334200042 is a wasteful number, since it uses less digits than its factorization.
334200042 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2388 (or 2385 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 18.
The square root of 334200042 is about 18281.1389688936. The cubic root of 334200042 is about 693.9616964855.
Adding to 334200042 its reverse (240002433), we get a palindrome (574202475).
The spelling of 334200042 in words is "three hundred thirty-four million, two hundred thousand, forty-two".
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