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288104348 = 2272337107113
BaseRepresentation
bin10001001011000…
…001111110011100
3202002010012212102
4101023001332130
51042223314343
644331024232
710065563240
oct2113017634
9662105772
10288104348
1113869a074
128059b078
13478c445c
142a398420
151a45e3b8
hex112c1f9c

288104348 has 96 divisors (see below), whose sum is σ = 628798464. Its totient is φ = 112831488.

The previous prime is 288104329. The next prime is 288104363. The reversal of 288104348 is 843401882.

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, 2549540 + ... + 2549652.

It is an arithmetic number, because the mean of its divisors is an integer number (6549984).

Almost surely, 2288104348 is an apocalyptic number.

288104348 is a gapful number since it is divisible by the number (28) 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 288104348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314399232).

288104348 is an abundant number, since it is smaller than the sum of its proper divisors (340694116).

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

288104348 is a wasteful number, since it uses less digits than its factorization.

288104348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 38.

The square root of 288104348 is about 16973.6368524839. The cubic root of 288104348 is about 660.4651969781.

The spelling of 288104348 in words is "two hundred eighty-eight million, one hundred four thousand, three hundred forty-eight".

Divisors: 1 2 4 7 14 23 28 37 46 74 92 107 113 148 161 214 226 259 322 428 452 518 644 749 791 851 1036 1498 1582 1702 2461 2599 2996 3164 3404 3959 4181 4922 5198 5957 7918 8362 9844 10396 11914 12091 15836 16724 17227 18193 23828 24182 27713 29267 34454 36386 48364 55426 58534 68908 72772 84637 91057 96163 110852 117068 169274 182114 192326 278093 338548 364228 384652 447367 556186 637399 673141 894734 1112372 1274798 1346282 1789468 1946651 2549596 2692564 3131569 3893302 6263138 7786604 10289441 12526276 20578882 41157764 72026087 144052174 288104348