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328155984 = 243213307571
BaseRepresentation
bin10011100011110…
…100001101010000
3211212111001101100
4103203310031100
51133001442414
652321304400
711063164662
oct2343641520
9755431340
10328155984
111592654a2
1291a95100
1352ca8650
1431822532
151dc21609
hex138f4350

328155984 has 120 divisors (see below), whose sum is σ = 993984992. Its totient is φ = 100465920.

The previous prime is 328155979. The next prime is 328156007. The reversal of 328155984 is 489551823.

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 23 ways as a sum of consecutive naturals, for example, 574419 + ... + 574989.

Almost surely, 2328155984 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 328155984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496992496).

328155984 is an abundant number, since it is smaller than the sum of its proper divisors (665829008).

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

328155984 is a wasteful number, since it uses less digits than its factorization.

328155984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 896 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 328155984 is about 18115.0761521999. The cubic root of 328155984 is about 689.7527532549.

The spelling of 328155984 in words is "three hundred twenty-eight million, one hundred fifty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 307 312 468 571 614 624 921 936 1142 1228 1713 1842 1872 2284 2456 2763 3426 3684 3991 4568 4912 5139 5526 6852 7368 7423 7982 9136 10278 11052 11973 13704 14736 14846 15964 20556 22104 22269 23946 27408 29692 31928 35919 41112 44208 44538 47892 59384 63856 66807 71838 82224 89076 95784 118768 133614 143676 175297 178152 191568 267228 287352 350594 356304 525891 534456 574704 701188 1051782 1068912 1402376 1577673 2103564 2278861 2804752 3155346 4207128 4557722 6310692 6836583 8414256 9115444 12621384 13673166 18230888 20509749 25242768 27346332 36461776 41019498 54692664 82038996 109385328 164077992 328155984