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96348 = 22373137
BaseRepresentation
bin10111100001011100
311220011110
4113201130
511040343
62022020
7550620
oct274134
9156143
1096348
116642a
1247910
1334b15
1427180
151d833
hex1785c

96348 has 48 divisors (see below), whose sum is σ = 272384. Its totient is φ = 25920.

The previous prime is 96337. The next prime is 96353. The reversal of 96348 is 84369.

It is a congruent number.

It is an unprimeable number.

96348 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 15 ways as a sum of consecutive naturals, for example, 2586 + ... + 2622.

296348 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 96348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136192).

96348 is an abundant number, since it is smaller than the sum of its proper divisors (176036).

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

96348 is a wasteful number, since it uses less digits than its factorization.

96348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 80 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 96348 is about 310.3997422679. The cubic root of 96348 is about 45.8438308370.

It can be divided in two parts, 96 and 348, that added together give a palindrome (444).

The spelling of 96348 in words is "ninety-six thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 37 42 62 74 84 93 111 124 148 186 217 222 259 372 434 444 518 651 777 868 1036 1147 1302 1554 2294 2604 3108 3441 4588 6882 8029 13764 16058 24087 32116 48174 96348