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96384 = 273251
BaseRepresentation
bin10111100010000000
311220012210
4113202000
511041014
62022120
7551001
oct274200
9156183
1096384
1166462
1247940
1334b42
14271a8
151d859
hex17880

96384 has 32 divisors (see below), whose sum is σ = 257040. Its totient is φ = 32000.

The previous prime is 96377. The next prime is 96401. The reversal of 96384 is 48369.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

96384 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 3 ways as a sum of consecutive naturals, for example, 259 + ... + 509.

296384 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 96384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128520).

96384 is an abundant number, since it is smaller than the sum of its proper divisors (160656).

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

96384 is a wasteful number, since it uses less digits than its factorization.

96384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 256 counting only the distinct ones).

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

The square root of 96384 is about 310.4577265909. The cubic root of 96384 is about 45.8495399069.

It can be divided in two parts, 96 and 384, that multiplied together give a square (36864 = 1922).

The spelling of 96384 in words is "ninety-six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 251 384 502 753 1004 1506 2008 3012 4016 6024 8032 12048 16064 24096 32128 48192 96384