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1323564264 = 23321113112757
BaseRepresentation
bin100111011100011…
…1111110011101000
310102020112000211200
41032320333303220
510202313024024
6335200324200
744541052641
oct11670776350
93366460750
101323564264
1161a132470
1230b313660
13181298829
14c7ad66c8
157b2e72c9
hex4ee3fce8

1323564264 has 96 divisors (see below), whose sum is σ = 3940691040. Its totient is φ = 397987200.

The previous prime is 1323564181. The next prime is 1323564269. The reversal of 1323564264 is 4624653231.

1323564264 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 5 + 642 + 6 + 4 = 666.

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 (1323564269) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 97374 + ... + 110130.

It is an arithmetic number, because the mean of its divisors is an integer number (41048865).

Almost surely, 21323564264 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 1323564264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1970345520).

1323564264 is an abundant number, since it is smaller than the sum of its proper divisors (2617126776).

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

1323564264 is a wasteful number, since it uses less digits than its factorization.

1323564264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12911 (or 12904 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 1323564264 is about 36380.8227504547. The cubic root of 1323564264 is about 1097.9477614571.

The spelling of 1323564264 in words is "one billion, three hundred twenty-three million, five hundred sixty-four thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 131 132 198 262 264 393 396 524 786 792 1048 1179 1441 1572 2358 2882 3144 4323 4716 5764 8646 9432 11528 12757 12969 17292 25514 25938 34584 38271 51028 51876 76542 102056 103752 114813 140327 153084 229626 280654 306168 420981 459252 561308 841962 918504 1122616 1262943 1671167 1683924 2525886 3342334 3367848 5013501 5051772 6684668 10027002 10103544 13369336 15040503 18382837 20054004 30081006 36765674 40108008 55148511 60162012 73531348 110297022 120324024 147062696 165445533 220594044 330891066 441188088 661782132 1323564264