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329064 = 23313711
BaseRepresentation
bin1010000010101101000
3121201101120
41100111220
541012224
611015240
72540241
oct1202550
9551346
10329064
1120525a
1213a520
13b6a18
1487cc8
1567779
hex50568

329064 has 16 divisors (see below), whose sum is σ = 822720. Its totient is φ = 109680.

The previous prime is 329059. The next prime is 329081. The reversal of 329064 is 460923.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 13711 = 329064 / (3 + 2 + 9 + 0 + 6 + 4).

It is a plaindrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 329064.

It is an unprimeable number.

329064 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6832 + ... + 6879.

It is an arithmetic number, because the mean of its divisors is an integer number (51420).

2329064 is an apocalyptic number.

It is an amenable number.

329064 is an abundant number, since it is smaller than the sum of its proper divisors (493656).

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

329064 is a wasteful number, since it uses less digits than its factorization.

329064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13720 (or 13716 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 329064 is about 573.6410027186. The cubic root of 329064 is about 69.0388355209.

Adding to 329064 its reverse (460923), we get a palindrome (789987).

The spelling of 329064 in words is "three hundred twenty-nine thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 24 13711 27422 41133 54844 82266 109688 164532 329064