Base | Representation |
---|---|
bin | 1000001000101… |
… | …0010110110110 |
3 | 2101012112102000 |
4 | 2002022112312 |
5 | 32213334032 |
6 | 3215200130 |
7 | 563011356 |
oct | 202122666 |
9 | 71175360 |
10 | 34121142 |
11 | 182957a0 |
12 | b516046 |
13 | 70b8a33 |
14 | 4762b66 |
15 | 2edee7c |
hex | 208a5b6 |
34121142 has 128 divisors (see below), whose sum is σ = 91238400. Its totient is φ = 9331200.
The previous prime is 34121099. The next prime is 34121147. The reversal of 34121142 is 24112143.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (34121147) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 312984 + ... + 313092.
It is an arithmetic number, because the mean of its divisors is an integer number (712800).
Almost surely, 234121142 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 34121142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45619200).
34121142 is an abundant number, since it is smaller than the sum of its proper divisors (57117258).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34121142 is a wasteful number, since it uses less digits than its factorization.
34121142 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 179 (or 173 counting only the distinct ones).
The product of its digits is 192, while the sum is 18.
The square root of 34121142 is about 5841.3304991243. The cubic root of 34121142 is about 324.3454819609.
Adding to 34121142 its reverse (24112143), we get a palindrome (58233285).
It can be divided in two parts, 3412 and 1142, that added together give a palindrome (4554).
The spelling of 34121142 in words is "thirty-four million, one hundred twenty-one thousand, one hundred forty-two".
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