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63284364 = 2232111319647
BaseRepresentation
bin1111000101101…
…0010010001100
311102002011211100
43301122102030
5112200044424
610140223100
71365623343
oct361322214
9142064740
1063284364
11327a4530
121923aa90
1310159b90
148594b5a
155850dc9
hex3c5a48c

63284364 has 144 divisors (see below), whose sum is σ = 198132480. Its totient is φ = 16744320.

The previous prime is 63284363. The next prime is 63284371. The reversal of 63284364 is 46348236.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63284363) 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, 97489 + ... + 98135.

It is an arithmetic number, because the mean of its divisors is an integer number (1375920).

Almost surely, 263284364 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 63284364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99066240).

63284364 is an abundant number, since it is smaller than the sum of its proper divisors (134848116).

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

63284364 is a wasteful number, since it uses less digits than its factorization.

63284364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 695 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 63284364 is about 7955.1470130979. The cubic root of 63284364 is about 398.5034998672.

The spelling of 63284364 in words is "sixty-three million, two hundred eighty-four thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 13 18 19 22 26 33 36 38 39 44 52 57 66 76 78 99 114 117 132 143 156 171 198 209 228 234 247 286 342 396 418 429 468 494 572 627 647 684 741 836 858 988 1254 1287 1294 1482 1716 1881 1941 2223 2508 2574 2588 2717 2964 3762 3882 4446 5148 5434 5823 7117 7524 7764 8151 8411 8892 10868 11646 12293 14234 16302 16822 21351 23292 24453 24586 25233 28468 32604 33644 36879 42702 48906 49172 50466 64053 73758 75699 85404 92521 97812 100932 110637 128106 135223 147516 151398 159809 185042 221274 256212 270446 277563 302796 319618 370084 405669 442548 479427 540892 555126 639236 811338 832689 958854 1110252 1217007 1438281 1622676 1665378 1757899 1917708 2434014 2876562 3330756 3515798 4868028 5273697 5753124 7031596 10547394 15821091 21094788 31642182 63284364