Base | Representation |
---|---|
bin | 100000000010… |
… | …001000000000 |
3 | 120210121221120 |
4 | 200002020000 |
5 | 4122203222 |
6 | 455552240 |
7 | 131242650 |
oct | 40021000 |
9 | 16717846 |
10 | 8397312 |
11 | 4816030 |
12 | 298b680 |
13 | 1980231 |
14 | 1188360 |
15 | b0d15c |
hex | 802200 |
8397312 has 160 divisors (see below), whose sum is σ = 28283904. Its totient is φ = 2150400.
The previous prime is 8397307. The next prime is 8397313. The reversal of 8397312 is 2137938.
It is a super-4 number, since 4×83973124 (a number of 29 digits) contains 4444 as substring.
It is a Harshad number since it is a multiple of its sum of digits (33).
It is not an unprimeable number, because it can be changed into a prime (8397313) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (3) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118237 + ... + 118307.
Almost surely, 28397312 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 8397312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14141952).
8397312 is an abundant number, since it is smaller than the sum of its proper divisors (19886592).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8397312 is a wasteful number, since it uses less digits than its factorization.
8397312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 110 (or 94 counting only the distinct ones).
The product of its digits is 9072, while the sum is 33.
The square root of 8397312 is about 2897.8115880781. The cubic root of 8397312 is about 203.2575859274.
The spelling of 8397312 in words is "eight million, three hundred ninety-seven thousand, three hundred twelve".
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