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328003308 = 223219736569
BaseRepresentation
bin10011100011001…
…110111011101100
3211212012021221200
4103203032323230
51132432101213
652314125500
711061660603
oct2343167354
9755167850
10328003308
11159170816
1291a20890
1352c53cc9
14317c2a3a
151dbe1273
hex138ceeec

328003308 has 72 divisors (see below), whose sum is σ = 884847600. Its totient is φ = 102145536.

The previous prime is 328003297. The next prime is 328003331. The reversal of 328003308 is 803300823.

328003308 is a `hidden beast` number, since 328 + 0 + 0 + 330 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46648 + ... + 53216.

It is an arithmetic number, because the mean of its divisors is an integer number (12289550).

Almost surely, 2328003308 is an apocalyptic number.

328003308 is a gapful number since it is divisible by the number (38) 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 328003308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442423800).

328003308 is an abundant number, since it is smaller than the sum of its proper divisors (556844292).

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

328003308 is a wasteful number, since it uses less digits than its factorization.

328003308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6671 (or 6666 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 328003308 is about 18110.8616029166. The cubic root of 328003308 is about 689.6457665042.

The spelling of 328003308 in words is "three hundred twenty-eight million, three thousand, three hundred eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 73 76 114 146 171 219 228 292 342 438 657 684 876 1314 1387 2628 2774 4161 5548 6569 8322 12483 13138 16644 19707 24966 26276 39414 49932 59121 78828 118242 124811 236484 249622 374433 479537 499244 748866 959074 1123299 1438611 1497732 1918148 2246598 2877222 4315833 4493196 5754444 8631666 9111203 17263332 18222406 27333609 36444812 54667218 82000827 109334436 164001654 328003308