Base | Representation |
---|---|
bin | 11011110100010… |
… | …00101010001100 |
3 | 121021002002021121 |
4 | 31322020222030 |
5 | 434213444003 |
6 | 35053210324 |
7 | 5532250060 |
oct | 1572105214 |
9 | 537062247 |
10 | 233343628 |
11 | 10a797581 |
12 | 661909a4 |
13 | 3946016b |
14 | 22dc1aa0 |
15 | 15743cbd |
hex | de88a8c |
233343628 has 96 divisors (see below), whose sum is σ = 509160960. Its totient is φ = 91445760.
The previous prime is 233343623. The next prime is 233343629. The reversal of 233343628 is 826343332.
233343628 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a junction number, because it is equal to n+sod(n) for n = 233343593 and 233343602.
It is not an unprimeable number, because it can be changed into a prime (233343623) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1431475 + ... + 1431637.
It is an arithmetic number, because the mean of its divisors is an integer number (5303760).
Almost surely, 2233343628 is an apocalyptic number.
233343628 is a gapful number since it is divisible by the number (28) 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 233343628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254580480).
233343628 is an abundant number, since it is smaller than the sum of its proper divisors (275817332).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
233343628 is a wasteful number, since it uses less digits than its factorization.
233343628 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 287 (or 285 counting only the distinct ones).
The product of its digits is 62208, while the sum is 34.
The square root of 233343628 is about 15275.5892848688. The cubic root of 233343628 is about 615.6473040027.
It can be divided in two parts, 23334 and 3628, that added together give a palindrome (26962).
The spelling of 233343628 in words is "two hundred thirty-three million, three hundred forty-three thousand, six hundred twenty-eight".
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