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3281608044 = 223211133120563
BaseRepresentation
bin1100001110011001…
…0101110101101100
322110200220221221200
43003212111311230
523210042424134
61301344125500
7144215131251
oct30346256554
98420827850
103281608044
111434422770
12777006890
13403b42b10
14231b8d428
1514316d499
hexc3995d6c

3281608044 has 144 divisors (see below), whose sum is σ = 10060237824. Its totient is φ = 888278400.

The previous prime is 3281608019. The next prime is 3281608063. The reversal of 3281608044 is 4408061823.

3281608044 is a `hidden beast` number, since 3 + 2 + 8 + 1 + 608 + 0 + 44 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

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 47 ways as a sum of consecutive naturals, for example, 149307 + ... + 169869.

Almost surely, 23281608044 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 3281608044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5030118912).

3281608044 is an abundant number, since it is smaller than the sum of its proper divisors (6778629780).

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

3281608044 is a wasteful number, since it uses less digits than its factorization.

3281608044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20628 (or 20623 counting only the distinct ones).

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

The square root of 3281608044 is about 57285.3213659485. The cubic root of 3281608044 is about 1486.0345353829.

Adding to 3281608044 its reverse (4408061823), we get a palindrome (7689669867).

The spelling of 3281608044 in words is "three billion, two hundred eighty-one million, six hundred eight thousand, forty-four".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 31 33 36 39 44 52 62 66 78 93 99 117 124 132 143 156 186 198 234 279 286 341 372 396 403 429 468 558 572 682 806 858 1023 1116 1209 1287 1364 1612 1716 2046 2418 2574 3069 3627 4092 4433 4836 5148 6138 7254 8866 12276 13299 14508 17732 20563 26598 39897 41126 53196 61689 79794 82252 123378 159588 185067 226193 246756 267319 370134 452386 534638 637453 678579 740268 801957 904772 1069276 1274906 1357158 1603914 1912359 2035737 2405871 2549812 2714316 2940509 3207828 3824718 4071474 4811742 5737077 5881018 7011983 7649436 8142948 8286889 8821527 9623484 11474154 11762036 14023966 16573778 17643054 21035949 22948308 24860667 26464581 28047932 33147556 35286108 42071898 49721334 52929162 63107847 74582001 84143796 91155779 99442668 105858324 126215694 149164002 182311558 252431388 273467337 298328004 364623116 546934674 820402011 1093869348 1640804022 3281608044