Base | Representation |
---|---|
bin | 1100101000111111001… |
… | …11110011000101001010 |
3 | 1112112001122212222021100 |
4 | 12110133213303011022 |
5 | 24103442442122214 |
6 | 531305212322230 |
7 | 43243623662241 |
oct | 6243747630512 |
9 | 1475048788240 |
10 | 434322223434 |
11 | 158216632910 |
12 | 70211773376 |
13 | 31c583040a8 |
14 | 1704267b958 |
15 | b46ebe6309 |
hex | 651f9f314a |
434322223434 has 96 divisors (see below), whose sum is σ = 1043112178368. Its totient is φ = 129509280000.
The previous prime is 434322223421. The next prime is 434322223453.
434322223434 is nontrivially palindromic in base 10.
It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3193054 + ... + 3326294.
It is an arithmetic number, because the mean of its divisors is an integer number (10865751858).
Almost surely, 2434322223434 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 434322223434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521556089184).
434322223434 is an abundant number, since it is smaller than the sum of its proper divisors (608789954934).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
434322223434 is a wasteful number, since it uses less digits than its factorization.
434322223434 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 133524 (or 133521 counting only the distinct ones).
The product of its digits is 331776, while the sum is 36.
It can be divided in two parts, 434322 and 223434, that added together give a palindrome (657756).
The spelling of 434322223434 in words is "four hundred thirty-four billion, three hundred twenty-two million, two hundred twenty-three thousand, four hundred thirty-four".
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