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12343140 = 22325471459
BaseRepresentation
bin101111000101…
…011101100100
3212020002121100
4233011131210
511124440030
61120320100
7206625555
oct57053544
925202540
1012343140
116a70647
124173030
132732244
1418d432c
15113c360
hexbc5764

12343140 has 72 divisors (see below), whose sum is σ = 38263680. Its totient is φ = 3219264.

The previous prime is 12343129. The next prime is 12343169. The reversal of 12343140 is 4134321.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7731 + ... + 9189.

It is an arithmetic number, because the mean of its divisors is an integer number (531440).

Almost surely, 212343140 is an apocalyptic number.

12343140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12343140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19131840).

12343140 is an abundant number, since it is smaller than the sum of its proper divisors (25920540).

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

12343140 is a wasteful number, since it uses less digits than its factorization.

12343140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521 (or 1516 counting only the distinct ones).

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

The square root of 12343140 is about 3513.2805182621. The cubic root of 12343140 is about 231.1045796217.

Adding to 12343140 its reverse (4134321), we get a palindrome (16477461).

The spelling of 12343140 in words is "twelve million, three hundred forty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 141 180 188 235 282 423 470 564 705 846 940 1410 1459 1692 2115 2820 2918 4230 4377 5836 7295 8460 8754 13131 14590 17508 21885 26262 29180 43770 52524 65655 68573 87540 131310 137146 205719 262620 274292 342865 411438 617157 685730 822876 1028595 1234314 1371460 2057190 2468628 3085785 4114380 6171570 12343140