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3266064032 = 257211238233
BaseRepresentation
bin1100001010101100…
…0010111010100000
322102121200020120112
43002223002322200
523142103022112
61300031030452
7143636041400
oct30253027240
98377606515
103266064032
111426676280
1277196b428
1340085c98a
1422daa4800
15141aeca22
hexc2ac2ea0

3266064032 has 144 divisors (see below), whose sum is σ = 8515668672. Its totient is φ = 1217018880.

The previous prime is 3266064029. The next prime is 3266064047. The reversal of 3266064032 is 2304606623.

It is a super-2 number, since 2×32660640322 = 21334348522248194048, which contains 22 as substring.

It is a hoax number, since the sum of its digits (32) 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 (32).

It is a self number, because there is not a number n which added to its sum of digits gives 3266064032.

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, 392588 + ... + 400820.

It is an arithmetic number, because the mean of its divisors is an integer number (59136588).

Almost surely, 23266064032 is an apocalyptic number.

3266064032 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 3266064032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4257834336).

3266064032 is an abundant number, since it is smaller than the sum of its proper divisors (5249604640).

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

3266064032 is a wasteful number, since it uses less digits than its factorization.

3266064032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8291 (or 8276 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

The square root of 3266064032 is about 57149.4884666521. The cubic root of 3266064032 is about 1483.6845181985.

The spelling of 3266064032 in words is "three billion, two hundred sixty-six million, sixty-four thousand, thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 23 28 32 44 46 49 56 77 88 92 98 112 154 161 176 184 196 224 253 308 322 352 368 392 506 539 616 644 736 784 1012 1078 1127 1232 1288 1568 1771 2024 2156 2254 2464 2576 3542 4048 4312 4508 5152 7084 8096 8233 8624 9016 12397 14168 16466 17248 18032 24794 28336 32932 36064 49588 56672 57631 65864 90563 99176 115262 131728 181126 189359 198352 230524 263456 362252 378718 396704 403417 461048 633941 724504 757436 806834 922096 1267882 1325513 1449008 1514872 1613668 1844192 2082949 2535764 2651026 2898016 3029744 3227336 4165898 4437587 5071528 5302052 6059488 6454672 8331796 8875174 9278591 10143056 10604104 12909344 14580643 16663592 17750348 18557182 20286112 21208208 29161286 33327184 35500696 37114364 42416416 58322572 66654368 71001392 74228728 102064501 116645144 142002784 148457456 204129002 233290288 296914912 408258004 466580576 816516008 1633032016 3266064032