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12343296 = 21137241
BaseRepresentation
bin101111000101…
…100000000000
3212020002211010
4233011200000
511124441141
61120320520
7206626200
oct57054000
925202733
1012343296
116a70779
124173140
132732334
1418d4400
15113c416
hexbc5800

12343296 has 144 divisors (see below), whose sum is σ = 39213720. Its totient is φ = 3440640.

The previous prime is 12343291. The next prime is 12343313. The reversal of 12343296 is 69234321.

It is a super-2 number, since 2×123432962 = 304713912287232, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12343291) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 301036 + ... + 301076.

Almost surely, 212343296 is an apocalyptic number.

12343296 is a gapful number since it is divisible by the number (16) 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 12343296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19606860).

12343296 is an abundant number, since it is smaller than the sum of its proper divisors (26870424).

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

12343296 is an equidigital number, since it uses as much as digits as its factorization.

12343296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 53 counting only the distinct ones).

The product of its digits is 7776, while the sum is 30.

The square root of 12343296 is about 3513.3027196642. The cubic root of 12343296 is about 231.1055532304.

The spelling of 12343296 in words is "twelve million, three hundred forty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 49 56 64 82 84 96 98 112 123 128 147 164 168 192 196 224 246 256 287 294 328 336 384 392 448 492 512 574 588 656 672 768 784 861 896 984 1024 1148 1176 1312 1344 1536 1568 1722 1792 1968 2009 2048 2296 2352 2624 2688 3072 3136 3444 3584 3936 4018 4592 4704 5248 5376 6027 6144 6272 6888 7168 7872 8036 9184 9408 10496 10752 12054 12544 13776 14336 15744 16072 18368 18816 20992 21504 24108 25088 27552 31488 32144 36736 37632 41984 43008 48216 50176 55104 62976 64288 73472 75264 83968 96432 100352 110208 125952 128576 146944 150528 192864 220416 251904 257152 293888 301056 385728 440832 514304 587776 771456 881664 1028608 1542912 1763328 2057216 3085824 4114432 6171648 12343296