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128354352 = 24371723977
BaseRepresentation
bin1111010011010…
…00100000110000
322221112002001220
413221220200300
5230324314402
620423025040
73115664640
oct751504060
9287462056
10128354352
11664a8585
1236b9b180
1320790729
1413092520
15b405dbc
hex7a68830

128354352 has 160 divisors (see below), whose sum is σ = 419116032. Its totient is φ = 32980992.

The previous prime is 128354351. The next prime is 128354417. The reversal of 128354352 is 253453821.

It is not an unprimeable number, because it can be changed into a prime (128354351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130888 + ... + 131864.

Almost surely, 2128354352 is an apocalyptic number.

128354352 is a gapful number since it is divisible by the number (12) 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 128354352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209558016).

128354352 is an abundant number, since it is smaller than the sum of its proper divisors (290761680).

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

128354352 is a wasteful number, since it uses less digits than its factorization.

128354352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1029 counting only the distinct ones).

The product of its digits is 28800, while the sum is 33.

The square root of 128354352 is about 11329.3579694526. The cubic root of 128354352 is about 504.4330493234.

The spelling of 128354352 in words is "one hundred twenty-eight million, three hundred fifty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 23 24 28 34 42 46 48 51 56 68 69 84 92 102 112 119 136 138 161 168 184 204 238 272 276 322 336 357 368 391 408 476 483 552 644 714 782 816 952 966 977 1104 1173 1288 1428 1564 1904 1932 1954 2346 2576 2737 2856 2931 3128 3864 3908 4692 5474 5712 5862 6256 6839 7728 7816 8211 9384 10948 11724 13678 15632 16422 16609 18768 20517 21896 22471 23448 27356 32844 33218 41034 43792 44942 46896 49827 54712 65688 66436 67413 82068 89884 99654 109424 116263 131376 132872 134826 157297 164136 179768 199308 232526 265744 269652 314594 328272 348789 359536 382007 398616 465052 471891 539304 629188 697578 764014 797232 930104 943782 1078608 1146021 1258376 1395156 1528028 1860208 1887564 2292042 2516752 2674049 2790312 3056056 3775128 4584084 5348098 5580624 6112112 7550256 8022147 9168168 10696196 16044294 18336336 21392392 32088588 42784784 64177176 128354352