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296928324 = 2232711176301
BaseRepresentation
bin10001101100101…
…100010001000100
3202200201112002100
4101230230101010
51102003201244
645244112100
710233564150
oct2154542104
9680645070
10296928324
11142676710
1283535630
1349693944
142b614060
151b103b69
hex11b2c444

296928324 has 144 divisors (see below), whose sum is σ = 990976896. Its totient is φ = 72576000.

The previous prime is 296928311. The next prime is 296928337. The reversal of 296928324 is 423829692.

It is an interprime number because it is at equal distance from previous prime (296928311) and next prime (296928337).

It is a self number, because there is not a number n which added to its sum of digits gives 296928324.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 43974 + ... + 50274.

It is an arithmetic number, because the mean of its divisors is an integer number (6881784).

Almost surely, 2296928324 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 296928324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495488448).

296928324 is an abundant number, since it is smaller than the sum of its proper divisors (694048572).

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

296928324 is a wasteful number, since it uses less digits than its factorization.

296928324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6346 (or 6341 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 296928324 is about 17231.6082824558. The cubic root of 296928324 is about 667.1403507997.

The spelling of 296928324 in words is "two hundred ninety-six million, nine hundred twenty-eight thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 17 18 21 22 28 33 34 36 42 44 51 63 66 68 77 84 99 102 119 126 132 153 154 187 198 204 231 238 252 306 308 357 374 396 462 476 561 612 693 714 748 924 1071 1122 1309 1386 1428 1683 2142 2244 2618 2772 3366 3927 4284 5236 6301 6732 7854 11781 12602 15708 18903 23562 25204 37806 44107 47124 56709 69311 75612 88214 107117 113418 132321 138622 176428 207933 214234 226836 264642 277244 321351 396963 415866 428468 485177 529284 623799 642702 749819 793926 831732 964053 970354 1178287 1247598 1285404 1455531 1499638 1587852 1928106 1940708 2249457 2356574 2495196 2911062 2999276 3534861 3856212 4366593 4498914 4713148 5822124 6748371 7069722 8248009 8733186 8997828 10604583 13496742 14139444 16496018 17466372 21209166 24744027 26993484 32992036 42418332 49488054 74232081 98976108 148464162 296928324