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347028 = 223112239
BaseRepresentation
bin1010100101110010100
3122122000220
41110232110
542101103
611234340
72643513
oct1245624
9578026
10347028
11217800
121489b0
13c1c56
149067a
156cc53
hex54b94

347028 has 36 divisors (see below), whose sum is σ = 893760. Its totient is φ = 104720.

The previous prime is 347003. The next prime is 347033. The reversal of 347028 is 820743.

It is a d-powerful number, because it can be written as 3 + 48 + 0 + 76 + 217 + 85 .

It is a junction number, because it is equal to n+sod(n) for n = 346989 and 347007.

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 347028.

It is an unprimeable number.

347028 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, 1333 + ... + 1571.

2347028 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 347028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446880).

347028 is an abundant number, since it is smaller than the sum of its proper divisors (546732).

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

347028 is a wasteful number, since it uses less digits than its factorization.

347028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 347028 is about 589.0908249158. The cubic root of 347028 is about 70.2729479282.

The spelling of 347028 in words is "three hundred forty-seven thousand, twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 239 242 363 478 484 717 726 956 1434 1452 2629 2868 5258 7887 10516 15774 28919 31548 57838 86757 115676 173514 347028