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348150 = 235211211
BaseRepresentation
bin1010100111111110110
3122200120110
41110333312
542120100
611243450
72650005
oct1247766
9580513
10348150
11218630
12149586
13c260a
1490c3c
156d250
hex54ff6

348150 has 48 divisors (see below), whose sum is σ = 946368. Its totient is φ = 84000.

The previous prime is 348149. The next prime is 348163. The reversal of 348150 is 51843.

348150 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 348150.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1545 + ... + 1755.

It is an arithmetic number, because the mean of its divisors is an integer number (19716).

2348150 is an apocalyptic number.

348150 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 348150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473184).

348150 is an abundant number, since it is smaller than the sum of its proper divisors (598218).

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

348150 is a wasteful number, since it uses less digits than its factorization.

348150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 348150 is about 590.0423713599. The cubic root of 348150 is about 70.3486012141.

Adding to 348150 its reverse (51843), we get a palindrome (399993).

The spelling of 348150 in words is "three hundred forty-eight thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 150 165 211 275 330 422 550 633 825 1055 1266 1650 2110 2321 3165 4642 5275 6330 6963 10550 11605 13926 15825 23210 31650 34815 58025 69630 116050 174075 348150