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1064065284 = 22321923239283
BaseRepresentation
bin111111011011000…
…101100100000100
32202011020010011100
4333123011210010
54134400042114
6253330340100
735240256102
oct7733054404
92664203140
101064065284
114a6700aa7
1225842a630
1313c5ab639
14a1466c72
1563638909
hex3f6c5904

1064065284 has 144 divisors (see below), whose sum is σ = 2977228800. Its totient is φ = 318935232.

The previous prime is 1064065283. The next prime is 1064065349. The reversal of 1064065284 is 4825604601.

1064065284 is a `hidden beast` number, since 1 + 0 + 640 + 6 + 5 + 2 + 8 + 4 = 666.

1064065284 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10640652842 = 2264469857228001312, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1064065283) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3759807 + ... + 3760089.

It is an arithmetic number, because the mean of its divisors is an integer number (20675200).

Almost surely, 21064065284 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 1064065284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488614400).

1064065284 is an abundant number, since it is smaller than the sum of its proper divisors (1913163516).

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

1064065284 is a wasteful number, since it uses less digits than its factorization.

1064065284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 1064065284 is about 32620.0135499665. The cubic root of 1064065284 is about 1020.9146236810.

Adding to 1064065284 its reverse (4825604601), we get a palindrome (5889669885).

The spelling of 1064065284 in words is "one billion, sixty-four million, sixty-five thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 19 23 36 38 46 57 69 76 92 114 138 171 207 228 239 276 283 342 414 437 478 566 684 717 828 849 874 956 1132 1311 1434 1698 1748 2151 2547 2622 2868 3396 3933 4302 4541 5094 5244 5377 5497 6509 7866 8604 9082 10188 10754 10994 13018 13623 15732 16131 16491 18164 19527 21508 21988 26036 27246 32262 32982 39054 40869 48393 49473 54492 58581 64524 65964 67637 78108 81738 96786 98946 104443 117162 123671 135274 163476 193572 197892 202911 208886 234324 247342 270548 313329 371013 405822 417772 494684 608733 626658 742026 811644 939987 1113039 1217466 1253316 1285103 1484052 1555651 1879974 2226078 2434932 2570206 3111302 3759948 3855309 4452156 4666953 5140412 6222604 7710618 9333906 11565927 14000859 15421236 18667812 23131854 28001718 29557369 46263708 56003436 59114738 88672107 118229476 177344214 266016321 354688428 532032642 1064065284