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328287232 = 2107132271
BaseRepresentation
bin10011100100010…
…100010000000000
3211212201201102101
4103210110100000
51133020142412
652324200144
711064252430
oct2344242000
9755651371
10328287232
11159345069
1291b39054
1353023300
14318582c0
151dc4a457
hex13914400

328287232 has 132 divisors (see below), whose sum is σ = 815131776. Its totient is φ = 129392640.

The previous prime is 328287227. The next prime is 328287259. The reversal of 328287232 is 232782823.

It is a junction number, because it is equal to n+sod(n) for n = 328287191 and 328287200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1211257 + ... + 1211527.

Almost surely, 2328287232 is an apocalyptic number.

328287232 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 328287232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407565888).

328287232 is an abundant number, since it is smaller than the sum of its proper divisors (486844544).

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

328287232 is a wasteful number, since it uses less digits than its factorization.

328287232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 293 counting only the distinct ones).

The product of its digits is 64512, while the sum is 37.

The square root of 328287232 is about 18118.6984079983. The cubic root of 328287232 is about 689.8446979472.

The spelling of 328287232 in words is "three hundred twenty-eight million, two hundred eighty-seven thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 169 182 208 224 256 271 338 364 416 448 512 542 676 728 832 896 1024 1084 1183 1352 1456 1664 1792 1897 2168 2366 2704 2912 3328 3523 3584 3794 4336 4732 5408 5824 6656 7046 7168 7588 8672 9464 10816 11648 13312 14092 15176 17344 18928 21632 23296 24661 28184 30352 34688 37856 43264 45799 46592 49322 56368 60704 69376 75712 86528 91598 93184 98644 112736 121408 138752 151424 173056 183196 197288 225472 242816 277504 302848 320593 366392 394576 450944 485632 605696 641186 732784 789152 901888 971264 1211392 1282372 1465568 1578304 1803776 1942528 2564744 2931136 3156608 3607552 5129488 5862272 6313216 10258976 11724544 12626432 20517952 23449088 25252864 41035904 46898176 82071808 164143616 328287232