Base | Representation |
---|---|
bin | 11011110100010… |
… | …01010000000000 |
3 | 121021002012121020 |
4 | 31322021100000 |
5 | 434214033143 |
6 | 35053225440 |
7 | 5532260115 |
oct | 1572112000 |
9 | 537065536 |
10 | 233346048 |
11 | 10a799381 |
12 | 66192280 |
13 | 394612b0 |
14 | 22dc290c |
15 | 15744883 |
hex | de89400 |
233346048 has 88 divisors (see below), whose sum is σ = 669909408. Its totient is φ = 71786496.
The previous prime is 233346041. The next prime is 233346067. The reversal of 233346048 is 840643332.
233346048 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (233346041) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37015 + ... + 42857.
Almost surely, 2233346048 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 233346048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334954704).
233346048 is an abundant number, since it is smaller than the sum of its proper divisors (436563360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
233346048 is a wasteful number, since it uses less digits than its factorization.
233346048 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5879 (or 5861 counting only the distinct ones).
The product of its (nonzero) digits is 41472, while the sum is 33.
The square root of 233346048 is about 15275.6684960102. The cubic root of 233346048 is about 615.6494322821.
The spelling of 233346048 in words is "two hundred thirty-three million, three hundred forty-six thousand, forty-eight".
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