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132348 = 22341269
BaseRepresentation
bin100000010011111100
320201112210
4200103330
513213343
62500420
71060566
oct402374
9221483
10132348
1190487
1264710
1348318
1436336
1529333
hex204fc

132348 has 24 divisors (see below), whose sum is σ = 317520. Its totient is φ = 42880.

The previous prime is 132347. The next prime is 132361. The reversal of 132348 is 843231.

132348 = 22 + 32 + ... + 732.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132347) 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, 358 + ... + 626.

It is an arithmetic number, because the mean of its divisors is an integer number (13230).

2132348 is an apocalyptic number.

It is an amenable number.

132348 is an abundant number, since it is smaller than the sum of its proper divisors (185172).

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

132348 is a wasteful number, since it uses less digits than its factorization.

132348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 315 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 132348 is about 363.7966464936. The cubic root of 132348 is about 50.9611391777.

Adding to 132348 its reverse (843231), we get a palindrome (975579).

It can be divided in two parts, 1323 and 48, that multiplied together give a square (63504 = 2522).

The spelling of 132348 in words is "one hundred thirty-two thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 12 41 82 123 164 246 269 492 538 807 1076 1614 3228 11029 22058 33087 44116 66174 132348