Search a number
-
+
1064282352 = 24373127509
BaseRepresentation
bin111111011011111…
…010100011110000
32202011122010220220
4333123322203300
54134424013402
6253335133040
735242152000
oct7733724360
92664563826
101064282352
114a683a0a1
12258514180
1313c656393
14a14c2000
156367cdbc
hex3f6fa8f0

1064282352 has 160 divisors (see below), whose sum is σ = 3237888000. Its totient is φ = 301093632.

The previous prime is 1064282341. The next prime is 1064282371. The reversal of 1064282352 is 2532824601.

It is a super-3 number, since 3×10642823523 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2090674 + ... + 2091182.

It is an arithmetic number, because the mean of its divisors is an integer number (20236800).

Almost surely, 21064282352 is an apocalyptic number.

1064282352 is a gapful number since it is divisible by the number (12) 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 1064282352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618944000).

1064282352 is an abundant number, since it is smaller than the sum of its proper divisors (2173605648).

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

1064282352 is a wasteful number, since it uses less digits than its factorization.

1064282352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 1064282352 is about 32623.3406014773. The cubic root of 1064282352 is about 1020.9840407338.

The spelling of 1064282352 in words is "one billion, sixty-four million, two hundred eighty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 127 147 168 196 254 294 336 343 381 392 508 509 588 686 762 784 889 1016 1018 1029 1176 1372 1524 1527 1778 2032 2036 2058 2352 2667 2744 3048 3054 3556 3563 4072 4116 5334 5488 6096 6108 6223 7112 7126 8144 8232 10668 10689 12216 12446 14224 14252 16464 18669 21336 21378 24432 24892 24941 28504 37338 42672 42756 43561 49784 49882 57008 64643 74676 74823 85512 87122 99568 99764 129286 130683 149352 149646 171024 174244 174587 193929 199528 258572 261366 298704 299292 348488 349174 387858 399056 452501 517144 522732 523761 598584 696976 698348 775716 905002 1034288 1045464 1047522 1197168 1357503 1396696 1551432 1810004 2090928 2095044 2715006 2793392 3102864 3167507 3620008 4190088 5430012 6335014 7240016 8380176 9502521 10860024 12670028 19005042 21720048 22172549 25340056 38010084 44345098 50680112 66517647 76020168 88690196 133035294 152040336 177380392 266070588 354760784 532141176 1064282352