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348075 = 325271317
BaseRepresentation
bin1010100111110101011
3122200110200
41110332223
542114300
611243243
72646540
oct1247653
9580420
10348075
11218572
12149523
13c2580
1490bc7
156d200
hex54fab

348075 has 72 divisors (see below), whose sum is σ = 812448. Its totient is φ = 138240.

The previous prime is 348053. The next prime is 348077. The reversal of 348075 is 570843.

It is not a de Polignac number, because 348075 - 25 = 348043 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 348075.

It is not an unprimeable number, because it can be changed into a prime (348077) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20467 + ... + 20483.

It is an arithmetic number, because the mean of its divisors is an integer number (11284).

2348075 is an apocalyptic number.

348075 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

348075 is an abundant number, since it is smaller than the sum of its proper divisors (464373).

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

348075 is a wasteful number, since it uses less digits than its factorization.

348075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 348075 is about 589.9788131789. The cubic root of 348075 is about 70.3435492499.

The spelling of 348075 in words is "three hundred forty-eight thousand, seventy-five".

Divisors: 1 3 5 7 9 13 15 17 21 25 35 39 45 51 63 65 75 85 91 105 117 119 153 175 195 221 225 255 273 315 325 357 425 455 525 585 595 663 765 819 975 1071 1105 1275 1365 1547 1575 1785 1989 2275 2925 2975 3315 3825 4095 4641 5355 5525 6825 7735 8925 9945 13923 16575 20475 23205 26775 38675 49725 69615 116025 348075