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12343680 = 273252143
BaseRepresentation
bin101111000101…
…100110000000
3212020010100100
4233011212000
511124444210
61120322400
7206630256
oct57054600
925203310
1012343680
116a70a98
124173400
13273256b
1418d45d6
15113c5c0
hexbc5980

12343680 has 96 divisors (see below), whose sum is σ = 42644160. Its totient is φ = 3290112.

The previous prime is 12343679. The next prime is 12343693. The reversal of 12343680 is 8634321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4689 + ... + 6831.

It is an arithmetic number, because the mean of its divisors is an integer number (444210).

Almost surely, 212343680 is an apocalyptic number.

12343680 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 12343680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21322080).

12343680 is an abundant number, since it is smaller than the sum of its proper divisors (30300480).

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

12343680 is a wasteful number, since it uses less digits than its factorization.

12343680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2168 (or 2153 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 12343680 is about 3513.3573686717. The cubic root of 12343680 is about 231.1079497705.

The spelling of 12343680 in words is "twelve million, three hundred forty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2143 2880 4286 5760 6429 8572 10715 12858 17144 19287 21430 25716 32145 34288 38574 42860 51432 64290 68576 77148 85720 96435 102864 128580 137152 154296 171440 192870 205728 257160 274304 308592 342880 385740 411456 514320 617184 685760 771480 822912 1028640 1234368 1371520 1542960 2057280 2468736 3085920 4114560 6171840 12343680