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134352 = 2433311
BaseRepresentation
bin100000110011010000
320211022000
4200303100
513244402
62514000
71066461
oct406320
9224260
10134352
1191a39
1265900
13491ca
1436d68
1529c1c
hex20cd0

134352 has 40 divisors (see below), whose sum is σ = 386880. Its totient is φ = 44640.

The previous prime is 134341. The next prime is 134353. The reversal of 134352 is 253431.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 1 + 32 + 34 + 43 + 55 + 217 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134353) by changing a digit.

134352 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 7 ways as a sum of consecutive naturals, for example, 277 + ... + 587.

It is an arithmetic number, because the mean of its divisors is an integer number (9672).

2134352 is an apocalyptic number.

134352 is a gapful number since it is divisible by the number (12) 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 134352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193440).

134352 is an abundant number, since it is smaller than the sum of its proper divisors (252528).

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

134352 is a wasteful number, since it uses less digits than its factorization.

134352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 316 counting only the distinct ones).

The product of its digits is 360, while the sum is 18.

The square root of 134352 is about 366.5405843832. The cubic root of 134352 is about 51.2170678774.

Adding to 134352 its reverse (253431), we get a palindrome (387783).

The spelling of 134352 in words is "one hundred thirty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 311 432 622 933 1244 1866 2488 2799 3732 4976 5598 7464 8397 11196 14928 16794 22392 33588 44784 67176 134352