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1328617716 = 22329311071151
BaseRepresentation
bin100111100110001…
…0001100011110100
310102121000202212120
41033030101203310
510210111231331
6335500515540
744632031016
oct11714214364
93377022776
101328617716
11621a74178
12310b4bbb0
13182347a3a
14c86501b6
157b994796
hex4f3118f4

1328617716 has 96 divisors (see below), whose sum is σ = 3344302080. Its totient is φ = 409584000.

The previous prime is 1328617699. The next prime is 1328617723. The reversal of 1328617716 is 6177168231.

Its product of digits (84672) is a multiple of the sum of its prime divisors (1323).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1153741 + ... + 1154891.

It is an arithmetic number, because the mean of its divisors is an integer number (34836480).

Almost surely, 21328617716 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 1328617716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672151040).

1328617716 is an abundant number, since it is smaller than the sum of its proper divisors (2015684364).

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

1328617716 is a wasteful number, since it uses less digits than its factorization.

1328617716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325 (or 1323 counting only the distinct ones).

The product of its digits is 84672, while the sum is 42.

The square root of 1328617716 is about 36450.2087236822. The cubic root of 1328617716 is about 1099.3433314817.

The spelling of 1328617716 in words is "one billion, three hundred twenty-eight million, six hundred seventeen thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 12 29 31 58 62 87 93 107 116 124 174 186 214 321 348 372 428 642 899 1151 1284 1798 2302 2697 3103 3317 3453 3596 4604 5394 6206 6634 6906 9309 9951 10788 12412 13268 13812 18618 19902 33379 35681 37236 39804 66758 71362 96193 100137 107043 123157 133516 142724 192386 200274 214086 246314 288579 369471 384772 400548 428172 492628 577158 738942 1034749 1154316 1477884 2069498 3104247 3571553 3817867 4138996 6208494 7143106 7635734 10714659 11453601 12416988 14286212 15271468 21429318 22907202 42858636 45814404 110718143 221436286 332154429 442872572 664308858 1328617716