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12341340 = 223251123271
BaseRepresentation
bin101111000101…
…000001011100
3212020000010200
4233011001130
511124410330
61120303500
7206620404
oct57050134
925200120
1012341340
116a6a260
124171b90
13273148b
1418d3804
15113ba60
hexbc505c

12341340 has 144 divisors (see below), whose sum is σ = 42771456. Its totient is φ = 2851200.

The previous prime is 12341339. The next prime is 12341341. The reversal of 12341340 is 4314321.

It is an interprime number because it is at equal distance from previous prime (12341339) and next prime (12341341).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12341341) 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 47 ways as a sum of consecutive naturals, for example, 45405 + ... + 45675.

It is an arithmetic number, because the mean of its divisors is an integer number (297024).

Almost surely, 212341340 is an apocalyptic number.

12341340 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 12341340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21385728).

12341340 is an abundant number, since it is smaller than the sum of its proper divisors (30430116).

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

12341340 is a wasteful number, since it uses less digits than its factorization.

12341340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 315 counting only the distinct ones).

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

The square root of 12341340 is about 3513.0243380882. The cubic root of 12341340 is about 231.0933450827.

Adding to 12341340 its reverse (4314321), we get a palindrome (16655661).

The spelling of 12341340 in words is "twelve million, three hundred forty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 23 30 33 36 44 45 46 55 60 66 69 90 92 99 110 115 132 138 165 180 198 207 220 230 253 271 276 330 345 396 414 460 495 506 542 660 690 759 813 828 990 1012 1035 1084 1265 1355 1380 1518 1626 1980 2070 2277 2439 2530 2710 2981 3036 3252 3795 4065 4140 4554 4878 5060 5420 5962 6233 7590 8130 8943 9108 9756 11385 11924 12195 12466 14905 15180 16260 17886 18699 22770 24390 24932 26829 29810 31165 35772 37398 44715 45540 48780 53658 56097 59620 62330 68563 74796 89430 93495 107316 112194 124660 134145 137126 178860 186990 205689 224388 268290 274252 280485 342815 373980 411378 536580 560970 617067 685630 822756 1028445 1121940 1234134 1371260 2056890 2468268 3085335 4113780 6170670 12341340