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11343696 = 243731353
BaseRepresentation
bin101011010001…
…011101010000
3210100022121220
4223101131100
510400444241
61043045040
7165264000
oct53213520
923308556
1011343696
116448761
123970780
132472360
141714000
15ee1166
hexad1750

11343696 has 160 divisors (see below), whose sum is σ = 37497600. Its totient is φ = 2935296.

The previous prime is 11343679. The next prime is 11343697. The reversal of 11343696 is 69634311.

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11343697) 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 31 ways as a sum of consecutive naturals, for example, 214006 + ... + 214058.

It is an arithmetic number, because the mean of its divisors is an integer number (234360).

Almost surely, 211343696 is an apocalyptic number.

11343696 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 11343696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18748800).

11343696 is an abundant number, since it is smaller than the sum of its proper divisors (26153904).

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

11343696 is a wasteful number, since it uses less digits than its factorization.

11343696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 78 counting only the distinct ones).

The product of its digits is 11664, while the sum is 33.

The square root of 11343696 is about 3368.0403798054. The cubic root of 11343696 is about 224.6905771420.

The spelling of 11343696 in words is "eleven million, three hundred forty-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 49 52 53 56 78 84 91 98 104 106 112 147 156 159 168 182 196 208 212 273 294 312 318 336 343 364 371 392 424 546 588 624 636 637 686 689 728 742 784 848 1029 1092 1113 1176 1272 1274 1372 1378 1456 1484 1911 2058 2067 2184 2226 2352 2544 2548 2597 2744 2756 2968 3822 4116 4134 4368 4452 4459 4823 5096 5194 5488 5512 5936 7644 7791 8232 8268 8904 8918 9646 10192 10388 11024 13377 14469 15288 15582 16464 16536 17808 17836 18179 19292 20776 26754 28938 30576 31164 33072 33761 35672 36358 38584 41552 53508 54537 57876 62328 67522 71344 72716 77168 101283 107016 109074 115752 124656 135044 145432 202566 214032 218148 231504 236327 270088 290864 405132 436296 472654 540176 708981 810264 872592 945308 1417962 1620528 1890616 2835924 3781232 5671848 11343696