Base | Representation |
---|---|
bin | 10011000111111… |
… | …000101001000000 |
3 | 211100201001122220 |
4 | 103013320221000 |
5 | 1124113142422 |
6 | 51500331040 |
7 | 10644021264 |
oct | 2307705100 |
9 | 740631586 |
10 | 320834112 |
11 | 155114465 |
12 | 8b543a80 |
13 | 51613a91 |
14 | 308780a4 |
15 | 1d276e5c |
hex | 131f8a40 |
320834112 has 56 divisors (see below), whose sum is σ = 851306400. Its totient is φ = 106638336.
The previous prime is 320834083. The next prime is 320834117. The reversal of 320834112 is 211438023.
320834112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×3208341123 (a number of 26 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is not an unprimeable number, because it can be changed into a prime (320834117) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70564 + ... + 74972.
It is an arithmetic number, because the mean of its divisors is an integer number (15201900).
Almost surely, 2320834112 is an apocalyptic number.
320834112 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 320834112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425653200).
320834112 is an abundant number, since it is smaller than the sum of its proper divisors (530472288).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
320834112 is a wasteful number, since it uses less digits than its factorization.
320834112 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4803 (or 4793 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 24.
The square root of 320834112 is about 17911.8427862685. The cubic root of 320834112 is about 684.5841594931.
The spelling of 320834112 in words is "three hundred twenty million, eight hundred thirty-four thousand, one hundred twelve".
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