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328080384 = 2103297367
BaseRepresentation
bin10011100011100…
…001110000000000
3211212100012200100
4103203201300000
51132442033014
652315522400
711062431402
oct2343416000
9755305610
10328080384
11159213715
1291a59400
1352c80108
1431802b72
151dc09009
hex138e1c00

328080384 has 132 divisors (see below), whose sum is σ = 959699104. Its totient is φ = 107937792.

The previous prime is 328080383. The next prime is 328080397. The reversal of 328080384 is 483080823.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328080383) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 893769 + ... + 894135.

Almost surely, 2328080384 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 328080384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479849552).

328080384 is an abundant number, since it is smaller than the sum of its proper divisors (631618720).

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

328080384 is a wasteful number, since it uses less digits than its factorization.

328080384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 328080384 is about 18112.9893722709. The cubic root of 328080384 is about 689.6997811771.

The spelling of 328080384 in words is "three hundred twenty-eight million, eighty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 97 128 144 192 194 256 288 291 367 384 388 512 576 582 734 768 776 873 1024 1101 1152 1164 1468 1536 1552 1746 2202 2304 2328 2936 3072 3104 3303 3492 4404 4608 4656 5872 6208 6606 6984 8808 9216 9312 11744 12416 13212 13968 17616 18624 23488 24832 26424 27936 35232 35599 37248 46976 49664 52848 55872 70464 71198 74496 93952 99328 105696 106797 111744 140928 142396 148992 187904 211392 213594 223488 281856 284792 297984 320391 375808 422784 427188 446976 563712 569584 640782 845568 854376 893952 1127424 1139168 1281564 1691136 1708752 2278336 2563128 3382272 3417504 4556672 5126256 6835008 9113344 10252512 13670016 18226688 20505024 27340032 36453376 41010048 54680064 82020096 109360128 164040192 328080384