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3227278464 = 2734973209
BaseRepresentation
bin1100000001011100…
…0101110010000000
322022220200201210000
43000113011302000
523102140402324
61252123440000
7142655262054
oct30027056200
98286621700
103227278464
111406795093
12760986000
133c57ccb37
14228889c64
1513d4da9c9
hexc05c5c80

3227278464 has 160 divisors (see below), whose sum is σ = 9706365900. Its totient is φ = 1064337408.

The previous prime is 3227278447. The next prime is 3227278489. The reversal of 3227278464 is 4648727223.

It can be written as a sum of positive squares in 2 ways, for example, as 3227148864 + 129600 = 56808^2 + 360^2 .

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 19 ways as a sum of consecutive naturals, for example, 1004092 + ... + 1007300.

Almost surely, 23227278464 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 3227278464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4853182950).

3227278464 is an abundant number, since it is smaller than the sum of its proper divisors (6479087436).

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

3227278464 is an equidigital number, since it uses as much as digits as its factorization.

3227278464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3332 (or 3311 counting only the distinct ones).

The product of its digits is 903168, while the sum is 45.

The square root of 3227278464 is about 56809.1406729586. The cubic root of 3227278464 is about 1477.7880373272.

The spelling of 3227278464 in words is "three billion, two hundred twenty-seven million, two hundred seventy-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 97 108 128 144 162 192 194 216 288 291 324 384 388 432 576 582 648 776 864 873 1152 1164 1296 1552 1728 1746 2328 2592 2619 3104 3209 3456 3492 4656 5184 5238 6208 6418 6984 7857 9312 9627 10368 10476 12416 12836 13968 15714 18624 19254 20952 25672 27936 28881 31428 37248 38508 41904 51344 55872 57762 62856 77016 83808 86643 102688 111744 115524 125712 154032 167616 173286 205376 231048 251424 259929 308064 311273 335232 346572 410752 462096 502848 519858 616128 622546 693144 924192 933819 1005696 1039716 1232256 1245092 1386288 1848384 1867638 2079432 2490184 2772576 2801457 3696768 3735276 4158864 4980368 5545152 5602914 7470552 8317728 8404371 9960736 11090304 11205828 14941104 16635456 16808742 19921472 22411656 25213113 29882208 33270912 33617484 39842944 44823312 50426226 59764416 67234968 89646624 100852452 119528832 134469936 179293248 201704904 268939872 358586496 403409808 537879744 806819616 1075759488 1613639232 3227278464