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132342 = 23723137
BaseRepresentation
bin100000010011110110
320201112120
4200103312
513213332
62500410
71060560
oct402366
9221476
10132342
1190481
1264706
1348312
1436330
152932c
hex204f6

132342 has 32 divisors (see below), whose sum is σ = 317952. Its totient is φ = 35904.

The previous prime is 132331. The next prime is 132347. The reversal of 132342 is 243231.

Adding to 132342 its reverse (243231), we get a palindrome (375573).

Subtracting 132342 from its reverse (243231), we obtain a square (110889 = 3332).

It can be divided in two parts, 132 and 342, that added together give a palindrome (474).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132347) by changing a digit.

132342 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, 898 + ... + 1034.

It is an arithmetic number, because the mean of its divisors is an integer number (9936).

2132342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158976).

132342 is an abundant number, since it is smaller than the sum of its proper divisors (185610).

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

132342 is a wasteful number, since it uses less digits than its factorization.

132342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172.

The product of its digits is 144, while the sum is 15.

The square root of 132342 is about 363.7884000350. The cubic root of 132342 is about 50.9603690579.

The spelling of 132342 in words is "one hundred thirty-two thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 137 138 161 274 322 411 483 822 959 966 1918 2877 3151 5754 6302 9453 18906 22057 44114 66171 132342