| Base | Representation |
|---|---|
| bin | 1010100011011111100 |
| 3 | 122120102100 |
| 4 | 1110123330 |
| 5 | 42031402 |
| 6 | 11225100 |
| 7 | 2640213 |
| oct | 1243374 |
| 9 | 576370 |
| 10 | 345852 |
| 11 | 216931 |
| 12 | 148190 |
| 13 | c1560 |
| 14 | 9007a |
| 15 | 6c71c |
| hex | 546fc |
345852 has 36 divisors (see below), whose sum is σ = 942760. Its totient is φ = 106272.
The previous prime is 345823. The next prime is 345853. The reversal of 345852 is 258543.
345852 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (36).
It is a super-2 number, since 2×3458522 = 239227211808, which contains 22 as substring.
It is an alternating number because its digits alternate between odd and even.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (345853) by changing a digit.
345852 is an untouchable number, because it is not equal to the sum of proper divisors of any number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99 + ... + 837.
2345852 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 345852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471380).
345852 is an abundant number, since it is smaller than the sum of its proper divisors (596908).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
345852 is a wasteful number, since it uses less digits than its factorization.
345852 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 762 (or 757 counting only the distinct ones).
The product of its digits is 4800, while the sum is 27.
The square root of 345852 is about 588.0918295641. The cubic root of 345852 is about 70.1934783432.
It can be divided in two parts, 34 and 5852, that added together give a triangular number (5886 = T108).
The spelling of 345852 in words is "three hundred forty-five thousand, eight hundred fifty-two".
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