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348296 = 231317197
BaseRepresentation
bin1010101000010001000
3122200202212
41111002020
542121141
611244252
72650304
oct1250210
9580685
10348296
11218753
12149688
13c26c0
1490d04
156d2eb
hex55088

348296 has 32 divisors (see below), whose sum is σ = 748440. Its totient is φ = 150528.

The previous prime is 348287. The next prime is 348307. The reversal of 348296 is 692843.

It can be written as a sum of positive squares in 4 ways, for example, as 343396 + 4900 = 586^2 + 70^2 .

It is an unprimeable number.

348296 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 7 ways as a sum of consecutive naturals, for example, 1670 + ... + 1866.

2348296 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 348296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374220).

348296 is an abundant number, since it is smaller than the sum of its proper divisors (400144).

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

348296 is a wasteful number, since it uses less digits than its factorization.

348296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 229 counting only the distinct ones).

The product of its digits is 10368, while the sum is 32.

The square root of 348296 is about 590.1660783203. The cubic root of 348296 is about 70.3584336239.

The spelling of 348296 in words is "three hundred forty-eight thousand, two hundred ninety-six".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 197 221 394 442 788 884 1576 1768 2561 3349 5122 6698 10244 13396 20488 26792 43537 87074 174148 348296