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12293316 = 22337223101
BaseRepresentation
bin101110111001…
…010011000100
3212010120021000
4232321103010
511121341231
61115253300
7206330400
oct56712304
925116230
1012293316
116a37172
12414a230
132715669
1418c0100
15112c6e6
hexbb94c4

12293316 has 144 divisors (see below), whose sum is σ = 39070080. Its totient is φ = 3326400.

The previous prime is 12293311. The next prime is 12293327. The reversal of 12293316 is 61339221.

12293316 is digitally balanced in base 2, base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122933162 = 302251236551712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

12293316 is strictly pandigital in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 12293316.

It is not an unprimeable number, because it can be changed into a prime (12293311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121666 + ... + 121766.

It is an arithmetic number, because the mean of its divisors is an integer number (271320).

Almost surely, 212293316 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 12293316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19535040).

12293316 is an abundant number, since it is smaller than the sum of its proper divisors (26776764).

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

12293316 is a wasteful number, since it uses less digits than its factorization.

12293316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 136 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 12293316 is about 3506.1825394580. The cubic root of 12293316 is about 230.7932033558.

The spelling of 12293316 in words is "twelve million, two hundred ninety-three thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 27 28 36 42 46 49 54 63 69 84 92 98 101 108 126 138 147 161 189 196 202 207 252 276 294 303 322 378 404 414 441 483 588 606 621 644 707 756 828 882 909 966 1127 1212 1242 1323 1414 1449 1764 1818 1932 2121 2254 2323 2484 2646 2727 2828 2898 3381 3636 4242 4347 4508 4646 4949 5292 5454 5796 6363 6762 6969 8484 8694 9292 9898 10143 10908 12726 13524 13938 14847 16261 17388 19089 19796 20286 20907 25452 27876 29694 30429 32522 38178 40572 41814 44541 48783 59388 60858 62721 65044 76356 83628 89082 97566 113827 121716 125442 133623 146349 178164 195132 227654 250884 267246 292698 341481 439047 455308 534492 585396 682962 878094 1024443 1365924 1756188 2048886 3073329 4097772 6146658 12293316