Base | Representation |
---|---|
bin | 100110010001… |
… | …110100001010 |
3 | 200212210200000 |
4 | 212101310022 |
5 | 10032100232 |
6 | 555023430 |
7 | 151201635 |
oct | 46216412 |
9 | 20783600 |
10 | 10034442 |
11 | 5734030 |
12 | 343ab76 |
13 | 2104452 |
14 | 1492c1c |
15 | d3327c |
hex | 991d0a |
10034442 has 48 divisors (see below), whose sum is σ = 24609312. Its totient is φ = 3039120.
The previous prime is 10034441. The next prime is 10034447. The reversal of 10034442 is 24443001.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (10034441) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4408 + ... + 6284.
It is an arithmetic number, because the mean of its divisors is an integer number (512694).
Almost surely, 210034442 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10034442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12304656).
10034442 is an abundant number, since it is smaller than the sum of its proper divisors (14574870).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10034442 is a wasteful number, since it uses less digits than its factorization.
10034442 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1905 (or 1893 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
The square root of 10034442 is about 3167.7187375144. The cubic root of 10034442 is about 215.6905290438.
Adding to 10034442 its reverse (24443001), we get a palindrome (34477443).
It can be divided in two parts, 1003 and 4442, that added together give a palindrome (5445).
The spelling of 10034442 in words is "ten million, thirty-four thousand, four hundred forty-two".
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