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328309984 = 25175359193
BaseRepresentation
bin10011100100011…
…001110011100000
3211212202212122001
4103210121303200
51133021404414
652324453344
711064405652
oct2344316340
9755685561
10328309984
11159360172
1291b4a254
1353030782
14318626d2
151dc52074
hex13919ce0

328309984 has 96 divisors (see below), whose sum is σ = 712787040. Its totient is φ = 148242432.

The previous prime is 328309979. The next prime is 328309997. The reversal of 328309984 is 489903823.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1700992 + ... + 1701184.

It is an arithmetic number, because the mean of its divisors is an integer number (7424865).

Almost surely, 2328309984 is an apocalyptic number.

328309984 is a gapful number since it is divisible by the number (34) 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 328309984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356393520).

328309984 is an abundant number, since it is smaller than the sum of its proper divisors (384477056).

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

328309984 is a wasteful number, since it uses less digits than its factorization.

328309984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 46.

The square root of 328309984 is about 18119.3262567900. The cubic root of 328309984 is about 689.8606341787.

The spelling of 328309984 in words is "three hundred twenty-eight million, three hundred nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 17 32 34 53 59 68 106 118 136 193 212 236 272 386 424 472 544 772 848 901 944 1003 1544 1696 1802 1888 2006 3088 3127 3281 3604 4012 6176 6254 6562 7208 8024 10229 11387 12508 13124 14416 16048 20458 22774 25016 26248 28832 32096 40916 45548 50032 52496 53159 81832 91096 100064 104992 106318 163664 173893 182192 193579 212636 327328 347786 364384 387158 425272 603511 695572 774316 850544 1207022 1391144 1548632 1701088 2414044 2782288 3097264 4828088 5564576 6194528 9656176 10259687 19312352 20519374 41038748 82077496 164154992 328309984