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12345344 = 21311137
BaseRepresentation
bin101111000110…
…000000000000
3212020012121222
4233012000000
511130022334
61120334212
7206635154
oct57060000
925205558
1012345344
116a72270
124174368
13273324b
1418d5064
15113cd2e
hexbc6000

12345344 has 56 divisors (see below), whose sum is σ = 27130248. Its totient is φ = 5570560.

The previous prime is 12345341. The next prime is 12345367. The reversal of 12345344 is 44354321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12345341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 90044 + ... + 90180.

Almost surely, 212345344 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 12345344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13565124).

12345344 is an abundant number, since it is smaller than the sum of its proper divisors (14784904).

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

12345344 is an equidigital number, since it uses as much as digits as its factorization.

12345344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 150 counting only the distinct ones).

The product of its digits is 5760, while the sum is 26.

The square root of 12345344 is about 3513.5941712156. The cubic root of 12345344 is about 231.1183342034.

Adding to 12345344 its reverse (44354321), we get a palindrome (56699665).

The spelling of 12345344 in words is "twelve million, three hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 137 176 256 274 352 512 548 704 1024 1096 1408 1507 2048 2192 2816 3014 4096 4384 5632 6028 8192 8768 11264 12056 17536 22528 24112 35072 45056 48224 70144 90112 96448 140288 192896 280576 385792 561152 771584 1122304 1543168 3086336 6172672 12345344