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12697344 = 283311167
BaseRepresentation
bin110000011011…
…111100000000
3212220002111000
4300123330000
511222303334
61132052000
7212632332
oct60337400
925802430
1012697344
117192780
124304000
13282752a
141987452
1511ac299
hexc1bf00

12697344 has 144 divisors (see below), whose sum is σ = 41207040. Its totient is φ = 3824640.

The previous prime is 12697343. The next prime is 12697367. The reversal of 12697344 is 44379621.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×126973442 = 322445089308672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12697299 and 12697308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12697343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75949 + ... + 76115.

It is an arithmetic number, because the mean of its divisors is an integer number (286160).

Almost surely, 212697344 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 12697344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20603520).

12697344 is an abundant number, since it is smaller than the sum of its proper divisors (28509696).

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

12697344 is a wasteful number, since it uses less digits than its factorization.

12697344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 183 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 12697344 is about 3563.3332709698. Note that the first 3 decimals coincide. The cubic root of 12697344 is about 233.2943898726.

It can be divided in two parts, 12697 and 344, that added together give a triangular number (13041 = T161).

The spelling of 12697344 in words is "twelve million, six hundred ninety-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 167 176 192 198 216 256 264 288 297 334 352 384 396 432 501 528 576 594 668 704 768 792 864 1002 1056 1152 1188 1336 1408 1503 1584 1728 1837 2004 2112 2304 2376 2672 2816 3006 3168 3456 3674 4008 4224 4509 4752 5344 5511 6012 6336 6912 7348 8016 8448 9018 9504 10688 11022 12024 12672 14696 16032 16533 18036 19008 21376 22044 24048 25344 29392 32064 33066 36072 38016 42752 44088 48096 49599 58784 64128 66132 72144 76032 88176 96192 99198 117568 128256 132264 144288 176352 192384 198396 235136 264528 288576 352704 384768 396792 470272 529056 577152 705408 793584 1058112 1154304 1410816 1587168 2116224 3174336 4232448 6348672 12697344