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12000352 = 257132317
BaseRepresentation
bin101101110001…
…110001100000
3211120200101111
4231301301200
511033002402
61105113104
7204000310
oct55616140
924520344
1012000352
116857051
124028794
132642200
141845440
1510c09d7
hexb71c60

12000352 has 72 divisors (see below), whose sum is σ = 29329776. Its totient is φ = 4732416.

The previous prime is 12000281. The next prime is 12000353. The reversal of 12000352 is 25300021.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37698 + ... + 38014.

It is an arithmetic number, because the mean of its divisors is an integer number (407358).

Almost surely, 212000352 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 12000352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14664888).

12000352 is an abundant number, since it is smaller than the sum of its proper divisors (17329424).

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

12000352 is a wasteful number, since it uses less digits than its factorization.

12000352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 12000352 is about 3464.1524215889. The cubic root of 12000352 is about 228.9450870411.

Adding to 12000352 its reverse (25300021), we get a palindrome (37300373).

The spelling of 12000352 in words is "twelve million, three hundred fifty-two", and thus it is an aban number.

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 169 182 208 224 317 338 364 416 634 676 728 1183 1268 1352 1456 2219 2366 2536 2704 2912 4121 4438 4732 5072 5408 8242 8876 9464 10144 16484 17752 18928 28847 32968 35504 37856 53573 57694 65936 71008 107146 115388 131872 214292 230776 375011 428584 461552 750022 857168 923104 1500044 1714336 3000088 6000176 12000352