Base | Representation |
---|---|
bin | 10011010011011… |
… | …011111000100000 |
3 | 211120101220012200 |
4 | 103103123320200 |
5 | 1130402041143 |
6 | 52045253200 |
7 | 11011532136 |
oct | 2323337040 |
9 | 746356180 |
10 | 323862048 |
11 | 1568a2394 |
12 | 90564200 |
13 | 52134063 |
14 | 31025756 |
15 | 1d6741d3 |
hex | 134dbe20 |
323862048 has 72 divisors (see below), whose sum is σ = 930557628. Its totient is φ = 106831872.
The previous prime is 323862047. The next prime is 323862061. The reversal of 323862048 is 840268323.
323862048 is a `hidden beast` number, since 3 + 23 + 8 + 620 + 4 + 8 = 666.
323862048 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 2 ways, for example, as 303177744 + 20684304 = 17412^2 + 4548^2 .
It is a tau number, because it is divible by the number of its divisors (72).
It is a super-2 number, since 2×3238620482 = 209773252269508608, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (323862047) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22140 + ... + 33732.
Almost surely, 2323862048 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 323862048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465278814).
323862048 is an abundant number, since it is smaller than the sum of its proper divisors (606695580).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
323862048 is a wasteful number, since it uses less digits than its factorization.
323862048 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 11706 (or 11695 counting only the distinct ones).
The product of its (nonzero) digits is 55296, while the sum is 36.
The square root of 323862048 is about 17996.1675920180. The cubic root of 323862048 is about 686.7310529167.
The spelling of 323862048 in words is "three hundred twenty-three million, eight hundred sixty-two thousand, forty-eight".
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