Base | Representation |
---|---|
bin | 1000001000111… |
… | …1110011010100 |
3 | 2101020200000000 |
4 | 2002033303110 |
5 | 32220042234 |
6 | 3215451300 |
7 | 563133366 |
oct | 202176324 |
9 | 71220000 |
10 | 34143444 |
11 | 18300525 |
12 | b526b30 |
13 | 70c5c2a |
14 | 476ad36 |
15 | 2ee6899 |
hex | 208fcd4 |
34143444 has 54 divisors (see below), whose sum is σ = 89690874. Its totient is φ = 11372400.
The previous prime is 34143409. The next prime is 34143451. The reversal of 34143444 is 44434143.
It can be written as a sum of positive squares in only one way, i.e., 17740944 + 16402500 = 4212^2 + 4050^2 .
It is a tau number, because it is divible by the number of its divisors (54).
It is a super-2 number, since 2×341434442 = 2331549536362272, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 25594 + ... + 26894.
Almost surely, 234143444 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 34143444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44845437).
34143444 is an abundant number, since it is smaller than the sum of its proper divisors (55547430).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34143444 is an equidigital number, since it uses as much as digits as its factorization.
34143444 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1329 (or 1306 counting only the distinct ones).
The product of its digits is 9216, while the sum is 27.
The square root of 34143444 is about 5843.2391701863. The cubic root of 34143444 is about 324.4161319754.
Adding to 34143444 its reverse (44434143), we get a palindrome (78577587).
The spelling of 34143444 in words is "thirty-four million, one hundred forty-three thousand, four hundred forty-four".
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