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328369536 = 27321125913
BaseRepresentation
bin10011100100101…
…000010110000000
3211212212220022200
4103210220112000
51133030311121
652330033200
711065044405
oct2344502600
9755786280
10328369536
111593a0990
1291b78800
1353051901
143187a2ac
151dc64a26
hex13928580

328369536 has 96 divisors (see below), whose sum is σ = 1030858920. Its totient is φ = 99502080.

The previous prime is 328369499. The next prime is 328369537. The reversal of 328369536 is 635963823.

328369536 is a `hidden beast` number, since 32 + 83 + 6 + 9 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 328369491 and 328369500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328369537) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 285 + ... + 25628.

Almost surely, 2328369536 is an apocalyptic number.

328369536 is a gapful number since it is divisible by the number (36) 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 328369536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515429460).

328369536 is an abundant number, since it is smaller than the sum of its proper divisors (702489384).

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

328369536 is a wasteful number, since it uses less digits than its factorization.

328369536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25944 (or 25929 counting only the distinct ones).

The product of its digits is 699840, while the sum is 45.

The square root of 328369536 is about 18120.9695104870. The cubic root of 328369536 is about 689.9023428268.

The spelling of 328369536 in words is "three hundred twenty-eight million, three hundred sixty-nine thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 264 288 352 384 396 528 576 704 792 1056 1152 1408 1584 2112 3168 4224 6336 12672 25913 51826 77739 103652 155478 207304 233217 285043 310956 414608 466434 570086 621912 829216 855129 932868 1140172 1243824 1658432 1710258 1865736 2280344 2487648 2565387 3316864 3420516 3731472 4560688 4975296 5130774 6841032 7462944 9121376 9950592 10261548 13682064 14925888 18242752 20523096 27364128 29851776 36485504 41046192 54728256 82092384 109456512 164184768 328369536