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3326164032 = 26341521811
BaseRepresentation
bin1100011001000001…
…0011110001000000
322120210202122021110
43012100103301000
523302444222112
61310015123320
7145265633142
oct30620236100
98523678243
103326164032
1114575952a4
12789b13540
134101432c9
14237a6ac92
1514702013c
hexc6413c40

3326164032 has 112 divisors (see below), whose sum is σ = 9043562304. Its totient is φ = 1078272000.

The previous prime is 3326163979. The next prime is 3326164081. The reversal of 3326164032 is 2304616233.

It is a super-2 number, since 2×33261640322 = 22126734335540994048, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4100907 + ... + 4101717.

It is an arithmetic number, because the mean of its divisors is an integer number (80746092).

Almost surely, 23326164032 is an apocalyptic number.

3326164032 is a gapful number since it is divisible by the number (32) 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 3326164032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4521781152).

3326164032 is an abundant number, since it is smaller than the sum of its proper divisors (5717398272).

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

3326164032 is a wasteful number, since it uses less digits than its factorization.

3326164032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1388 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

The square root of 3326164032 is about 57672.9055276392. The cubic root of 3326164032 is about 1492.7298621022.

The spelling of 3326164032 in words is "three billion, three hundred twenty-six million, one hundred sixty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 164 192 246 328 492 521 656 811 984 1042 1312 1563 1622 1968 2084 2433 2624 3126 3244 3936 4168 4866 6252 6488 7872 8336 9732 12504 12976 16672 19464 21361 25008 25952 33251 33344 38928 42722 50016 51904 64083 66502 77856 85444 99753 100032 128166 133004 155712 170888 199506 256332 266008 341776 399012 422531 512664 532016 683552 798024 845062 1025328 1064032 1267593 1367104 1596048 1690124 2050656 2128064 2535186 3192096 3380248 4101312 5070372 6384192 6760496 10140744 13520992 17323771 20281488 27041984 34647542 40562976 51971313 69295084 81125952 103942626 138590168 207885252 277180336 415770504 554360672 831541008 1108721344 1663082016 3326164032