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232104 = 23319509
BaseRepresentation
bin111000101010101000
3102210101110
4320222220
524411404
64550320
71654455
oct705250
9383343
10232104
11149424
12b23a0
1381852
146082c
1548b89
hex38aa8

232104 has 32 divisors (see below), whose sum is σ = 612000. Its totient is φ = 73152.

The previous prime is 232103. The next prime is 232109. The reversal of 232104 is 401232.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 232104.

It is not an unprimeable number, because it can be changed into a prime (232103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 202 + ... + 710.

It is an arithmetic number, because the mean of its divisors is an integer number (19125).

2232104 is an apocalyptic number.

232104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306000).

232104 is an abundant number, since it is smaller than the sum of its proper divisors (379896).

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

232104 is a wasteful number, since it uses less digits than its factorization.

232104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 232104 is about 481.7717301793. The cubic root of 232104 is about 61.4555167786.

Adding to 232104 its reverse (401232), we get a palindrome (633336).

The spelling of 232104 in words is "two hundred thirty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 509 1018 1527 2036 3054 4072 6108 9671 12216 19342 29013 38684 58026 77368 116052 232104