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128246328 = 233473577
BaseRepresentation
bin1111010010011…
…10001000111000
322221022120220000
413221032020320
5230312340303
620420433000
73115035000
oct751161070
9287276800
10128246328
1166434401
1236b48760
1320753502
1413065000
15b3d3da3
hex7a4e238

128246328 has 160 divisors (see below), whose sum is σ = 419628000. Its totient is φ = 36578304.

The previous prime is 128246311. The next prime is 128246359. The reversal of 128246328 is 823642821.

128246328 is a `hidden beast` number, since 12 + 8 + 2 + 4 + 632 + 8 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 128246292 and 128246301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 221976 + ... + 222552.

It is an arithmetic number, because the mean of its divisors is an integer number (2622675).

Almost surely, 2128246328 is an apocalyptic number.

128246328 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 128246328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209814000).

128246328 is an abundant number, since it is smaller than the sum of its proper divisors (291381672).

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

128246328 is an equidigital number, since it uses as much as digits as its factorization.

128246328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 589 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 128246328 is about 11324.5895289851. The cubic root of 128246328 is about 504.2914980407.

The spelling of 128246328 in words is "one hundred twenty-eight million, two hundred forty-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 81 84 98 108 126 147 162 168 189 196 216 252 294 324 343 378 392 441 504 567 577 588 648 686 756 882 1029 1134 1154 1176 1323 1372 1512 1731 1764 2058 2268 2308 2646 2744 3087 3462 3528 3969 4039 4116 4536 4616 5193 5292 6174 6924 7938 8078 8232 9261 10386 10584 12117 12348 13848 15579 15876 16156 18522 20772 24234 24696 27783 28273 31158 31752 32312 36351 37044 41544 46737 48468 55566 56546 62316 72702 74088 84819 93474 96936 109053 111132 113092 124632 145404 169638 186948 197911 218106 222264 226184 254457 290808 327159 339276 373896 395822 436212 508914 593733 654318 678552 763371 791644 872424 1017828 1187466 1308636 1526742 1583288 1781199 2035656 2290113 2374932 2617272 3053484 3562398 4580226 4749864 5343597 6106968 7124796 9160452 10687194 14249592 16030791 18320904 21374388 32061582 42748776 64123164 128246328