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3284639316 = 223376197019
BaseRepresentation
bin1100001111000111…
…1001111001010100
322110220121222002000
43003301321321110
523211331424231
61301533115300
7144252654630
oct30361717124
98426558060
103284639316
111436103152
12778028b30
1340466477a
1423233bdc0
1514356b6e6
hexc3c79e54

3284639316 has 96 divisors (see below), whose sum is σ = 9749376000. Its totient is φ = 936818784.

The previous prime is 3284639299. The next prime is 3284639329. The reversal of 3284639316 is 6139364823.

3284639316 is a `hidden beast` number, since 3 + 2 + 8 + 4 + 639 + 3 + 1 + 6 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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, 464455 + ... + 471473.

It is an arithmetic number, because the mean of its divisors is an integer number (101556000).

Almost surely, 23284639316 is an apocalyptic number.

3284639316 is a gapful number since it is divisible by the number (36) 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 3284639316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4874688000).

3284639316 is an abundant number, since it is smaller than the sum of its proper divisors (6464736684).

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

3284639316 is a wasteful number, since it uses less digits than its factorization.

3284639316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7658 (or 7650 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 3284639316 is about 57311.7729266858. The cubic root of 3284639316 is about 1486.4919522496.

The spelling of 3284639316 in words is "three billion, two hundred eighty-four million, six hundred thirty-nine thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 619 756 1238 1857 2476 3714 4333 5571 7019 7428 8666 11142 12999 14038 16713 17332 21057 22284 25998 28076 33426 38997 42114 49133 51996 63171 66852 77994 84228 98266 116991 126342 147399 155988 189513 196532 233982 252684 294798 379026 442197 467964 589596 758052 884394 1326591 1768788 2653182 4344761 5306364 8689522 13034283 17379044 26068566 30413327 39102849 52137132 60826654 78205698 91239981 117308547 121653308 156411396 182479962 234617094 273719943 364959924 469234188 547439886 821159829 1094879772 1642319658 3284639316