Base | Representation |
---|---|
bin | 1010000001011… |
… | …0001111011100 |
3 | 2221002120000000 |
4 | 2200112033130 |
5 | 41230043030 |
6 | 4100534300 |
7 | 1020166341 |
oct | 240261734 |
9 | 87076000 |
10 | 42034140 |
11 | 217aa965 |
12 | 120b1390 |
13 | 8929695 |
14 | 58227c8 |
15 | 3a54860 |
hex | 28163dc |
42034140 has 144 divisors (see below), whose sum is σ = 136795680. Its totient is φ = 10847520.
The previous prime is 42034129. The next prime is 42034147. The reversal of 42034140 is 4143024.
It is a super-3 number, since 3×420341403 (a number of 24 digits) contains 333 as substring.
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 (42034147) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1355925 + ... + 1355955.
It is an arithmetic number, because the mean of its divisors is an integer number (949970).
Almost surely, 242034140 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 42034140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68397840).
42034140 is an abundant number, since it is smaller than the sum of its proper divisors (94761540).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42034140 is an equidigital number, since it uses as much as digits as its factorization.
42034140 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 92 (or 41 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
The square root of 42034140 is about 6483.3741215512. The cubic root of 42034140 is about 347.6968227504.
Adding to 42034140 its reverse (4143024), we get a palindrome (46177164).
The spelling of 42034140 in words is "forty-two million, thirty-four thousand, one hundred forty".
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