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328960192 = 26113773173
BaseRepresentation
bin10011100110111…
…000100011000000
3211220222220112211
4103212320203000
51133203211232
652350431504
711103054421
oct2346704300
9756886484
10328960192
11159764730
1292202594
13531ca702
1431991648
151dd2ea47
hex139b88c0

328960192 has 112 divisors (see below), whose sum is σ = 745674912. Its totient is φ = 142663680.

The previous prime is 328960171. The next prime is 328960193. The reversal of 328960192 is 291069823.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (328960193) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1901418 + ... + 1901590.

Almost surely, 2328960192 is an apocalyptic number.

328960192 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 328960192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372837456).

328960192 is an abundant number, since it is smaller than the sum of its proper divisors (416714720).

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

328960192 is a wasteful number, since it uses less digits than its factorization.

328960192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 328960192 is about 18137.2597709797. The cubic root of 328960192 is about 690.3157499080.

The spelling of 328960192 in words is "three hundred twenty-eight million, nine hundred sixty thousand, one hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 37 44 64 73 74 88 146 148 173 176 292 296 346 352 407 584 592 692 704 803 814 1168 1184 1384 1606 1628 1903 2336 2368 2701 2768 3212 3256 3806 4672 5402 5536 6401 6424 6512 7612 10804 11072 12629 12802 12848 13024 15224 21608 25258 25604 25696 26048 29711 30448 43216 50516 51208 51392 59422 60896 70411 86432 101032 102416 118844 121792 138919 140822 172864 202064 204832 237688 277838 281644 404128 409664 467273 475376 555676 563288 808256 934546 950752 1111352 1126576 1869092 1901504 2222704 2253152 3738184 4445408 4506304 5140003 7476368 8890816 10280006 14952736 20560012 29905472 41120024 82240048 164480096 328960192