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328016 = 24131983
BaseRepresentation
bin1010000000101010000
3121122221202
41100011100
540444031
611010332
72534213
oct1200520
9548852
10328016
11204497
121399a8
13b63c0
148777a
15672cb
hex50150

328016 has 40 divisors (see below), whose sum is σ = 729120. Its totient is φ = 141696.

The previous prime is 328007. The next prime is 328037. The reversal of 328016 is 610823.

It is an Ulam number.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

328016 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 (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3911 + ... + 3993.

It is an arithmetic number, because the mean of its divisors is an integer number (18228).

2328016 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 328016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364560).

328016 is an abundant number, since it is smaller than the sum of its proper divisors (401104).

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

328016 is a wasteful number, since it uses less digits than its factorization.

328016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 328016 is about 572.7268109666. The cubic root of 328016 is about 68.9654661609.

Adding to 328016 its reverse (610823), we get a palindrome (938839).

It can be divided in two parts, 3 and 28016, that multiplied together give a palindrome (84048).

The spelling of 328016 in words is "three hundred twenty-eight thousand, sixteen".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 83 104 152 166 208 247 304 332 494 664 988 1079 1328 1577 1976 2158 3154 3952 4316 6308 8632 12616 17264 20501 25232 41002 82004 164008 328016