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12342288 = 2437109337
BaseRepresentation
bin101111000101…
…010000010000
3212020001102210
4233011100100
511124423123
61120312120
7206623230
oct57052020
925201383
1012342288
116a6aa42
124172640
132731a3a
1418d3cc0
15113be93
hexbc5410

12342288 has 80 divisors (see below), whose sum is σ = 36882560. Its totient is φ = 3483648.

The previous prime is 12342263. The next prime is 12342299. The reversal of 12342288 is 88224321.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36456 + ... + 36792.

It is an arithmetic number, because the mean of its divisors is an integer number (461032).

Almost surely, 212342288 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 12342288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18441280).

12342288 is an abundant number, since it is smaller than the sum of its proper divisors (24540272).

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

12342288 is a wasteful number, since it uses less digits than its factorization.

12342288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 458 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 12342288 is about 3513.1592619749. The cubic root of 12342288 is about 231.0992620761.

The spelling of 12342288 in words is "twelve million, three hundred forty-two thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 109 112 168 218 327 336 337 436 654 674 763 872 1011 1308 1348 1526 1744 2022 2289 2359 2616 2696 3052 4044 4578 4718 5232 5392 6104 7077 8088 9156 9436 12208 14154 16176 18312 18872 28308 36624 36733 37744 56616 73466 110199 113232 146932 220398 257131 293864 440796 514262 587728 771393 881592 1028524 1542786 1763184 2057048 3085572 4114096 6171144 12342288