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12340728 = 2333193197
BaseRepresentation
bin101111000100…
…110111111000
3212012222022000
4233010313320
511124400403
61120301000
7206615541
oct57046770
925188260
1012340728
116a69854
124171760
13273110a
1418d34c8
15113b7a3
hexbc4df8

12340728 has 128 divisors (see below), whose sum is σ = 37632000. Its totient is φ = 3732480.

The previous prime is 12340703. The next prime is 12340733. The reversal of 12340728 is 82704321.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127176 + ... + 127272.

It is an arithmetic number, because the mean of its divisors is an integer number (294000).

Almost surely, 212340728 is an apocalyptic number.

12340728 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 12340728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18816000).

12340728 is an abundant number, since it is smaller than the sum of its proper divisors (25291272).

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

12340728 is a wasteful number, since it uses less digits than its factorization.

12340728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 12340728 is about 3512.9372325733. The cubic root of 12340728 is about 231.0895250905.

The spelling of 12340728 in words is "twelve million, three hundred forty thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 31 36 38 54 57 62 72 76 93 97 108 114 124 152 171 186 194 216 228 248 279 291 342 372 388 456 513 558 582 589 684 744 776 837 873 1026 1116 1164 1178 1368 1674 1746 1767 1843 2052 2232 2328 2356 2619 3007 3348 3492 3534 3686 4104 4712 5238 5301 5529 6014 6696 6984 7068 7372 9021 10476 10602 11058 12028 14136 14744 15903 16587 18042 20952 21204 22116 24056 27063 31806 33174 36084 42408 44232 49761 54126 57133 63612 66348 72168 81189 99522 108252 114266 127224 132696 162378 171399 199044 216504 228532 324756 342798 398088 457064 514197 649512 685596 1028394 1371192 1542591 2056788 3085182 4113576 6170364 12340728