Base | Representation |
---|---|
bin | 11001001110100… |
… | …100000111001000 |
3 | 1002111102020120000 |
4 | 121032210013020 |
5 | 1331322421303 |
6 | 105555403000 |
7 | 13326360066 |
oct | 3116440710 |
9 | 1074366500 |
10 | 423248328 |
11 | 1a7a04808 |
12 | b98b3460 |
13 | 698c13c9 |
14 | 402d7036 |
15 | 27256da3 |
hex | 193a41c8 |
423248328 has 160 divisors (see below), whose sum is σ = 1235942400. Its totient is φ = 135209088.
The previous prime is 423248327. The next prime is 423248341. The reversal of 423248328 is 823842324.
It is a happy number.
423248328 is a `hidden beast` number, since 4 + 2 + 324 + 8 + 328 = 666.
It is a Cunningham number, because it is equal to 205732-1.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 423248292 and 423248301.
It is not an unprimeable number, because it can be changed into a prime (423248327) by changing a digit.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3044883 + ... + 3045021.
It is an arithmetic number, because the mean of its divisors is an integer number (7724640).
Almost surely, 2423248328 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 423248328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617971200).
423248328 is an abundant number, since it is smaller than the sum of its proper divisors (812694072).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
423248328 is a wasteful number, since it uses less digits than its factorization.
423248328 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 321 (or 308 counting only the distinct ones).
The product of its digits is 73728, while the sum is 36.
The square root of 423248328 is about 20572.9999756963. Note that the first 4 decimals coincide. The cubic root of 423248328 is about 750.8129425143.
The spelling of 423248328 in words is "four hundred twenty-three million, two hundred forty-eight thousand, three hundred twenty-eight".
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