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348228 = 223217569
BaseRepresentation
bin1010101000001000100
3122200200100
41111001010
542120403
611244100
72650146
oct1250104
9580610
10348228
112186a1
12149630
13c266a
1490c96
156d2a3
hex55044

348228 has 36 divisors (see below), whose sum is σ = 933660. Its totient is φ = 109056.

The previous prime is 348221. The next prime is 348239. The reversal of 348228 is 822843.

It can be written as a sum of positive squares in 2 ways, for example, as 161604 + 186624 = 402^2 + 432^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (348221) by changing a digit.

348228 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 328 + ... + 896.

It is an arithmetic number, because the mean of its divisors is an integer number (25935).

2348228 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 348228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466830).

348228 is an abundant number, since it is smaller than the sum of its proper divisors (585432).

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

348228 is a wasteful number, since it uses less digits than its factorization.

348228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 591 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 348228 is about 590.1084646063. The cubic root of 348228 is about 70.3538544873.

It can be divided in two parts, 348 and 228, that added together give a square (576 = 242).

The spelling of 348228 in words is "three hundred forty-eight thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 569 612 1138 1707 2276 3414 5121 6828 9673 10242 19346 20484 29019 38692 58038 87057 116076 174114 348228