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12338568 = 233511577
BaseRepresentation
bin101111000100…
…010110001000
3212012212100000
4233010112020
511124313233
61120243000
7206606334
oct57042610
925185300
1012338568
116a68170
124170460
132730138
1418d27c4
15113ad13
hexbc4588

12338568 has 96 divisors (see below), whose sum is σ = 37870560. Its totient is φ = 3732480.

The previous prime is 12338567. The next prime is 12338621. The reversal of 12338568 is 86583321.

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

It is not an unprimeable number, because it can be changed into a prime (12338567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21096 + ... + 21672.

It is an arithmetic number, because the mean of its divisors is an integer number (394485).

Almost surely, 212338568 is an apocalyptic number.

12338568 is a gapful number since it is divisible by the number (18) 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 12338568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18935280).

12338568 is an abundant number, since it is smaller than the sum of its proper divisors (25531992).

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

12338568 is a wasteful number, since it uses less digits than its factorization.

12338568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 593 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 12338568 is about 3512.6297840792. The cubic root of 12338568 is about 231.0760417558.

It can be divided in two parts, 1233 and 8568, that added together give a square (9801 = 992).

The spelling of 12338568 in words is "twelve million, three hundred thirty-eight thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 243 264 297 324 396 486 577 594 648 792 891 972 1154 1188 1731 1782 1944 2308 2376 2673 3462 3564 4616 5193 5346 6347 6924 7128 10386 10692 12694 13848 15579 19041 20772 21384 25388 31158 38082 41544 46737 50776 57123 62316 76164 93474 114246 124632 140211 152328 171369 186948 228492 280422 342738 373896 456984 514107 560844 685476 1028214 1121688 1370952 1542321 2056428 3084642 4112856 6169284 12338568