Base | Representation |
---|---|
bin | 1000001011100… |
… | …1011110000000 |
3 | 2101120100010001 |
4 | 2002321132000 |
5 | 32241022422 |
6 | 3223245344 |
7 | 564444100 |
oct | 202713600 |
9 | 71510101 |
10 | 34314112 |
11 | 18407778 |
12 | b5a9854 |
13 | 7155811 |
14 | 47b3200 |
15 | 302c227 |
hex | 20b9780 |
34314112 has 48 divisors (see below), whose sum is σ = 79535520. Its totient is φ = 14703360.
The previous prime is 34314107. The next prime is 34314113. The reversal of 34314112 is 21141343.
It is a self number, because there is not a number n which added to its sum of digits gives 34314112.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (34314113) by changing a digit.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3537 + ... + 9007.
It is an arithmetic number, because the mean of its divisors is an integer number (1656990).
Almost surely, 234314112 is an apocalyptic number.
34314112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 34314112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39767760).
34314112 is an abundant number, since it is smaller than the sum of its proper divisors (45221408).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34314112 is an equidigital number, since it uses as much as digits as its factorization.
34314112 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5499 (or 5480 counting only the distinct ones).
The product of its digits is 288, while the sum is 19.
The square root of 34314112 is about 5857.8248522809. The cubic root of 34314112 is about 324.9557714961.
Adding to 34314112 its reverse (21141343), we get a palindrome (55455455).
The spelling of 34314112 in words is "thirty-four million, three hundred fourteen thousand, one hundred twelve".
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