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95304 = 23311192
BaseRepresentation
bin10111010001001000
311211201210
4113101020
511022204
62013120
7544566
oct272110
9154653
1095304
1165670
12471a0
13344c1
1426a36
151d389
hex17448

95304 has 48 divisors (see below), whose sum is σ = 274320. Its totient is φ = 27360.

The previous prime is 95287. The next prime is 95311. The reversal of 95304 is 40359.

It is an unprimeable number.

95304 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5007 + ... + 5025.

It is an arithmetic number, because the mean of its divisors is an integer number (5715).

295304 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 95304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137160).

95304 is an abundant number, since it is smaller than the sum of its proper divisors (179016).

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

95304 is a wasteful number, since it uses less digits than its factorization.

95304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 95304 is about 308.7134593762. The cubic root of 95304 is about 45.6776454917.

Subtracting from 95304 its reverse (40359), we obtain a palindrome (54945).

The spelling of 95304 in words is "ninety-five thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 132 152 209 228 264 361 418 456 627 722 836 1083 1254 1444 1672 2166 2508 2888 3971 4332 5016 7942 8664 11913 15884 23826 31768 47652 95304