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34328 = 237613
BaseRepresentation
bin1000011000011000
31202002102
420120120
52044303
6422532
7202040
oct103030
952072
1034328
1123878
1217a48
1312818
14c720
15a288
hex8618

34328 has 16 divisors (see below), whose sum is σ = 73680. Its totient is φ = 14688.

The previous prime is 34327. The next prime is 34337. The reversal of 34328 is 82343.

It can be divided in two parts, 343 and 28, that multiplied together give a square (9604 = 982).

34328 = 672 + 682 + ... + 732.

It is a nialpdrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 34328.

It is not an unprimeable number, because it can be changed into a prime (34327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 251 + ... + 362.

It is an arithmetic number, because the mean of its divisors is an integer number (4605).

234328 is an apocalyptic number.

It is an amenable number.

34328 is an abundant number, since it is smaller than the sum of its proper divisors (39352).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36840).

34328 is a wasteful number, since it uses less digits than its factorization.

34328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 622 counting only the distinct ones).

The product of its digits is 576, while the sum is 20.

The square root of 34328 is about 185.2781692483. The cubic root of 34328 is about 32.4999605522.

The spelling of 34328 in words is "thirty-four thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 56 613 1226 2452 4291 4904 8582 17164 34328