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328810112 = 27113127179
BaseRepresentation
bin10011100110010…
…011111010000000
3211220201021200022
4103212103322000
51133133410422
652343313012
711101561031
oct2346237200
9756637608
10328810112
111596719a4
129214b768
13531772c7
1431952a88
151dd00342
hex13993e80

328810112 has 64 divisors (see below), whose sum is σ = 669772800. Its totient is φ = 160763904.

The previous prime is 328810081. The next prime is 328810123. The reversal of 328810112 is 211018823.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1836839 + ... + 1837017.

It is an arithmetic number, because the mean of its divisors is an integer number (10465200).

Almost surely, 2328810112 is an apocalyptic number.

328810112 is a gapful number since it is divisible by the number (32) 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 328810112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334886400).

328810112 is an abundant number, since it is smaller than the sum of its proper divisors (340962688).

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

328810112 is a wasteful number, since it uses less digits than its factorization.

328810112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 26.

The square root of 328810112 is about 18133.1219595524. The cubic root of 328810112 is about 690.2107540761.

Adding to 328810112 its reverse (211018823), we get a palindrome (539828935).

The spelling of 328810112 in words is "three hundred twenty-eight million, eight hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 113 127 128 179 226 254 358 452 508 716 904 1016 1432 1808 2032 2864 3616 4064 5728 7232 8128 11456 14351 14464 16256 20227 22733 22912 28702 40454 45466 57404 80908 90932 114808 161816 181864 229616 323632 363728 459232 647264 727456 918464 1294528 1454912 1836928 2568829 2589056 2909824 5137658 10275316 20550632 41101264 82202528 164405056 328810112