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307728384 = 212379317
BaseRepresentation
bin10010010101111…
…001000000000000
3210110001012222120
4102111321000000
51112234302014
650311404240
710424435205
oct2225710000
9713035876
10307728384
11148782987
1287083680
134b9a5702
142cc25cac
151c038ba9
hex12579000

307728384 has 104 divisors (see below), whose sum is σ = 833516160. Its totient is φ = 100958208.

The previous prime is 307728341. The next prime is 307728391. The reversal of 307728384 is 483827703.

307728384 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 970594 + ... + 970910.

Almost surely, 2307728384 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 307728384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416758080).

307728384 is an abundant number, since it is smaller than the sum of its proper divisors (525787776).

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

307728384 is an equidigital number, since it uses as much as digits as its factorization.

307728384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The square root of 307728384 is about 17542.1886889863. The cubic root of 307728384 is about 675.1327651057.

The spelling of 307728384 in words is "three hundred seven million, seven hundred twenty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 128 158 192 237 256 316 317 384 474 512 632 634 768 948 951 1024 1264 1268 1536 1896 1902 2048 2528 2536 3072 3792 3804 4096 5056 5072 6144 7584 7608 10112 10144 12288 15168 15216 20224 20288 25043 30336 30432 40448 40576 50086 60672 60864 75129 80896 81152 100172 121344 121728 150258 161792 162304 200344 242688 243456 300516 323584 324608 400688 485376 486912 601032 649216 801376 970752 973824 1202064 1298432 1602752 1947648 2404128 3205504 3895296 4808256 6411008 9616512 12822016 19233024 25644032 38466048 51288064 76932096 102576128 153864192 307728384