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328335216 = 243112941523
BaseRepresentation
bin10011100100011…
…111111101110000
3211212211011020120
4103210133331300
51133023211331
652325210240
711064542346
oct2344377560
9755734216
10328335216
11159378120
1291b60980
135303c0c1
143186b996
151dc59796
hex1391ff70

328335216 has 160 divisors (see below), whose sum is σ = 982437120. Its totient is φ = 93542400.

The previous prime is 328335197. The next prime is 328335221. The reversal of 328335216 is 612533823.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 31 ways as a sum of consecutive naturals, for example, 627531 + ... + 628053.

It is an arithmetic number, because the mean of its divisors is an integer number (6140232).

Almost surely, 2328335216 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 328335216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491218560).

328335216 is an abundant number, since it is smaller than the sum of its proper divisors (654101904).

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

328335216 is a wasteful number, since it uses less digits than its factorization.

328335216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 609 counting only the distinct ones).

The product of its digits is 25920, while the sum is 33.

The square root of 328335216 is about 18120.0225165423. The cubic root of 328335216 is about 689.8783066209.

The spelling of 328335216 in words is "three hundred twenty-eight million, three hundred thirty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 33 41 44 48 58 66 82 87 88 116 123 132 164 174 176 232 246 264 319 328 348 451 464 492 523 528 638 656 696 902 957 984 1046 1189 1276 1353 1392 1569 1804 1914 1968 2092 2378 2552 2706 3138 3567 3608 3828 4184 4756 5104 5412 5753 6276 7134 7216 7656 8368 9512 10824 11506 12552 13079 14268 15167 15312 17259 19024 21443 21648 23012 25104 26158 28536 30334 34518 39237 42886 45501 46024 52316 57072 60668 64329 69036 78474 85772 91002 92048 104632 121336 128658 138072 156948 166837 171544 182004 209264 235873 242672 257316 276144 313896 333674 343088 364008 471746 500511 514632 621847 627792 667348 707619 728016 943492 1001022 1029264 1243694 1334696 1415238 1865541 1886984 2002044 2487388 2669392 2830476 3731082 3773968 4004088 4974776 5660952 6840317 7462164 8008176 9949552 11321904 13680634 14924328 20520951 27361268 29848656 41041902 54722536 82083804 109445072 164167608 328335216