Base | Representation |
---|---|
bin | 1101011000111… |
… | …00100000010000 |
3 | 21211100011101000 |
4 | 12230130200100 |
5 | 212223030014 |
6 | 15051142000 |
7 | 2532441120 |
oct | 654344020 |
9 | 254304330 |
10 | 112314384 |
11 | 58442506 |
12 | 31744900 |
13 | 1a365920 |
14 | 10cb8c80 |
15 | 9cd8509 |
hex | 6b1c810 |
112314384 has 160 divisors (see below), whose sum is σ = 396919040. Its totient is φ = 29611008.
The previous prime is 112314383. The next prime is 112314407. The reversal of 112314384 is 483413211.
It is a super-2 number, since 2×1123143842 = 25229041706598912, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (112314383) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37884 + ... + 40740.
It is an arithmetic number, because the mean of its divisors is an integer number (2480744).
Almost surely, 2112314384 is an apocalyptic number.
112314384 is a gapful number since it is divisible by the number (14) 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 112314384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198459520).
112314384 is an abundant number, since it is smaller than the sum of its proper divisors (284604656).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
112314384 is a wasteful number, since it uses less digits than its factorization.
112314384 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2894 (or 2882 counting only the distinct ones).
The product of its digits is 2304, while the sum is 27.
The square root of 112314384 is about 10597.8480834554. The cubic root of 112314384 is about 482.4790494451.
Adding to 112314384 its reverse (483413211), we get a palindrome (595727595).
The spelling of 112314384 in words is "one hundred twelve million, three hundred fourteen thousand, three hundred eighty-four".
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