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328668768 = 25326717033
BaseRepresentation
bin10011100101110…
…001011001100000
3211220110002210100
4103211301121200
51133114400033
652340302400
711100431661
oct2345613140
9756402710
10328668768
1115958578a
12920a1a00
1353127b7c
1431917368
151dcc3513
hex13971660

328668768 has 72 divisors (see below), whose sum is σ = 948657528. Its totient is φ = 107914752.

The previous prime is 328668721. The next prime is 328668787. The reversal of 328668768 is 867866823.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a zygodrome in base 5.

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 11 ways as a sum of consecutive naturals, for example, 10780 + ... + 27812.

It is an arithmetic number, because the mean of its divisors is an integer number (13175799).

Almost surely, 2328668768 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 328668768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474328764).

328668768 is an abundant number, since it is smaller than the sum of its proper divisors (619988760).

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

328668768 is a wasteful number, since it uses less digits than its factorization.

328668768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17116 (or 17105 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 328668768 is about 18129.2241422516. The cubic root of 328668768 is about 690.1118407242. Note that the first 3 decimals are identical.

The spelling of 328668768 in words is "three hundred twenty-eight million, six hundred sixty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 67 72 96 134 144 201 268 288 402 536 603 804 1072 1206 1608 2144 2412 3216 4824 6432 9648 17033 19296 34066 51099 68132 102198 136264 153297 204396 272528 306594 408792 545056 613188 817584 1141211 1226376 1635168 2282422 2452752 3423633 4564844 4905504 6847266 9129688 10270899 13694532 18259376 20541798 27389064 36518752 41083596 54778128 82167192 109556256 164334384 328668768