Base | Representation |
---|---|
bin | 1000001000110… |
… | …0110111110000 |
3 | 2101020001112102 |
4 | 2002030313300 |
5 | 32214201230 |
6 | 3215315532 |
7 | 563053400 |
oct | 202146760 |
9 | 71201472 |
10 | 34131440 |
11 | 182a2502 |
12 | b51bba8 |
13 | 70c0625 |
14 | 4766800 |
15 | 2ee3045 |
hex | 208cdf0 |
34131440 has 60 divisors (see below), whose sum is σ = 92322216. Its totient is φ = 11700864.
The previous prime is 34131439. The next prime is 34131451. The reversal of 34131440 is 4413143.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a congruent number.
It is an unprimeable number.
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 11 ways as a sum of consecutive naturals, for example, 434 + ... + 8273.
Almost surely, 234131440 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 34131440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46161108).
34131440 is an abundant number, since it is smaller than the sum of its proper divisors (58190776).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34131440 is a wasteful number, since it uses less digits than its factorization.
34131440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8734 (or 8721 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 20.
The square root of 34131440 is about 5842.2119098848. The cubic root of 34131440 is about 324.3781085927.
Adding to 34131440 its reverse (4413143), we get a palindrome (38544583).
The spelling of 34131440 in words is "thirty-four million, one hundred thirty-one thousand, four hundred forty".
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