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348084 = 223311293
BaseRepresentation
bin1010100111110110100
3122200111000
41110332310
542114314
611243300
72646552
oct1247664
9580430
10348084
11218580
12149530
13c2589
1490bd2
156d209
hex54fb4

348084 has 48 divisors (see below), whose sum is σ = 987840. Its totient is φ = 105120.

The previous prime is 348083. The next prime is 348097. The reversal of 348084 is 480843.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 348084.

It is not an unprimeable number, because it can be changed into a prime (348083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1042 + ... + 1334.

It is an arithmetic number, because the mean of its divisors is an integer number (20580).

2348084 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 348084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493920).

348084 is an abundant number, since it is smaller than the sum of its proper divisors (639756).

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

348084 is a wasteful number, since it uses less digits than its factorization.

348084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 309 counting only the distinct ones).

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

The square root of 348084 is about 589.9864405222. The cubic root of 348084 is about 70.3441555239.

It can be divided in two parts, 34 and 8084, that added together give a palindrome (8118).

The spelling of 348084 in words is "three hundred forty-eight thousand, eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 293 297 396 586 594 879 1172 1188 1758 2637 3223 3516 5274 6446 7911 9669 10548 12892 15822 19338 29007 31644 38676 58014 87021 116028 174042 348084