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12343104 = 26342381
BaseRepresentation
bin101111000101…
…011101000000
3212020002120000
4233011131000
511124434404
61120320000
7206625504
oct57053500
925202500
1012343104
116a70614
124173000
132732217
1418d4304
15113c339
hexbc5740

12343104 has 70 divisors (see below), whose sum is σ = 36604194. Its totient is φ = 4112640.

The previous prime is 12343099. The next prime is 12343129. The reversal of 12343104 is 40134321.

It can be written as a sum of positive squares in only one way, i.e., 6350400 + 5992704 = 2520^2 + 2448^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 3994 + ... + 6374.

Almost surely, 212343104 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 12343104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18302097).

12343104 is an abundant number, since it is smaller than the sum of its proper divisors (24261090).

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

12343104 is an equidigital number, since it uses as much as digits as its factorization.

12343104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2405 (or 2386 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 12343104 is about 3513.2753948417. The cubic root of 12343104 is about 231.1043549417.

Adding to 12343104 its reverse (40134321), we get a palindrome (52477425).

The spelling of 12343104 in words is "twelve million, three hundred forty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2381 2592 4762 5184 7143 9524 14286 19048 21429 28572 38096 42858 57144 64287 76192 85716 114288 128574 152384 171432 192861 228576 257148 342864 385722 457152 514296 685728 771444 1028592 1371456 1542888 2057184 3085776 4114368 6171552 12343104