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348168 = 23389163
BaseRepresentation
bin1010101000000001000
3122200121010
41111000020
542120133
611243520
72650032
oct1250010
9580533
10348168
11218647
121495a0
13c2622
1490c52
156d263
hex55008

348168 has 32 divisors (see below), whose sum is σ = 885600. Its totient is φ = 114048.

The previous prime is 348163. The next prime is 348181. The reversal of 348168 is 861843.

It is a happy number.

348168 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348163) by changing a digit.

348168 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 (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2055 + ... + 2217.

It is an arithmetic number, because the mean of its divisors is an integer number (27675).

2348168 is an apocalyptic number.

It is an amenable number.

348168 is an abundant number, since it is smaller than the sum of its proper divisors (537432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

348168 is a wasteful number, since it uses less digits than its factorization.

348168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 257 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 348168 is about 590.0576243046. The cubic root of 348168 is about 70.3498135776.

The spelling of 348168 in words is "three hundred forty-eight thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 89 163 178 267 326 356 489 534 652 712 978 1068 1304 1956 2136 3912 14507 29014 43521 58028 87042 116056 174084 348168