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34304 = 2967
BaseRepresentation
bin1000011000000000
31202001112
420120000
52044204
6422452
7202004
oct103000
952045
1034304
1123856
1217a28
13127ca
14c704
15a26e
hex8600

34304 has 20 divisors (see below), whose sum is σ = 69564. Its totient is φ = 16896.

The previous prime is 34303. The next prime is 34313. The reversal of 34304 is 40343.

Adding to 34304 its reverse (40343), we get a palindrome (74647).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 479 + ... + 545.

234304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34782).

34304 is an abundant number, since it is smaller than the sum of its proper divisors (35260).

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

34304 is an frugal number, since it uses more digits than its factorization.

34304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 34304 is about 185.2133904446. The cubic root of 34304 is about 32.4923848036.

The spelling of 34304 in words is "thirty-four thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 67 128 134 256 268 512 536 1072 2144 4288 8576 17152 34304