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12322004304 = 243678814349
BaseRepresentation
bin10110111100111001…
…01101110101010000
31011210202000200012210
423132130231311100
5200213413114204
65354411152120
7614231210541
oct133634556520
934722020183
1012322004304
1152534a5235
12247a745640
131214a9810c
1484c6bc4c8
154c1b79389
hex2de72dd50

12322004304 has 80 divisors (see below), whose sum is σ = 32351054400. Its totient is φ = 4040509440.

The previous prime is 12322004297. The next prime is 12322004309. The reversal of 12322004304 is 40340022321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12322004309) 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 15 ways as a sum of consecutive naturals, for example, 2831122 + ... + 2835470.

It is an arithmetic number, because the mean of its divisors is an integer number (404388180).

Almost surely, 212322004304 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 12322004304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16175527200).

12322004304 is an abundant number, since it is smaller than the sum of its proper divisors (20029050096).

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

12322004304 is a wasteful number, since it uses less digits than its factorization.

12322004304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5308 (or 5302 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 12322004304 its reverse (40340022321), we get a palindrome (52662026625).

The spelling of 12322004304 in words is "twelve billion, three hundred twenty-two million, four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 134 201 268 402 536 804 881 1072 1608 1762 2643 3216 3524 4349 5286 7048 8698 10572 13047 14096 17396 21144 26094 34792 42288 52188 59027 69584 104376 118054 177081 208752 236108 291383 354162 472216 582766 708324 874149 944432 1165532 1416648 1748298 2331064 2833296 3496596 3831469 4662128 6993192 7662938 11494407 13986384 15325876 22988814 30651752 45977628 61303504 91955256 183910512 256708423 513416846 770125269 1026833692 1540250538 2053667384 3080501076 4107334768 6161002152 12322004304