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328336896 = 2931811181
BaseRepresentation
bin10011100100100…
…000011000000000
3211212211020112210
4103210200120000
51133023240041
652325222120
711064550266
oct2344403000
9755736483
10328336896
11159379408
1291b61940
135303cab4
143186c436
151dc5a016
hex13920600

328336896 has 80 divisors (see below), whose sum is σ = 880287408. Its totient is φ = 108748800.

The previous prime is 328336867. The next prime is 328336907. The reversal of 328336896 is 698633823.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 277426 + ... + 278606.

Almost surely, 2328336896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328336896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440143704).

328336896 is an abundant number, since it is smaller than the sum of its proper divisors (551950512).

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

328336896 is a wasteful number, since it uses less digits than its factorization.

328336896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1383 (or 1367 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 48.

The square root of 328336896 is about 18120.0688740413. The cubic root of 328336896 is about 689.8794832574.

The spelling of 328336896 in words is "three hundred twenty-eight million, three hundred thirty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 181 192 256 362 384 512 543 724 768 1086 1181 1448 1536 2172 2362 2896 3543 4344 4724 5792 7086 8688 9448 11584 14172 17376 18896 23168 28344 34752 37792 46336 56688 69504 75584 92672 113376 139008 151168 213761 226752 278016 302336 427522 453504 604672 641283 855044 907008 1282566 1710088 1814016 2565132 3420176 5130264 6840352 10260528 13680704 20521056 27361408 41042112 54722816 82084224 109445632 164168448 328336896