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288377088 = 283894219
BaseRepresentation
bin10001001100000…
…100100100000000
3202002122001222220
4101030010210000
51042311031323
644340531040
710101110346
oct2114044400
9662561886
10288377088
11138865a7a
12806b0a80
134798b63c
142a429996
151a4b50e3
hex11304900

288377088 has 72 divisors (see below), whose sum is σ = 776311200. Its totient is φ = 95023104.

The previous prime is 288377087. The next prime is 288377107. The reversal of 288377088 is 880773882.

It is a happy number.

It is a super-2 number, since 2×2883770882 = 166322689766719488, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 288377088.

It is not an unprimeable number, because it can be changed into a prime (288377087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66243 + ... + 70461.

It is an arithmetic number, because the mean of its divisors is an integer number (10782100).

Almost surely, 2288377088 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 288377088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388155600).

288377088 is an abundant number, since it is smaller than the sum of its proper divisors (487934112).

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

288377088 is an equidigital number, since it uses as much as digits as its factorization.

288377088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4327 (or 4313 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 51.

The square root of 288377088 is about 16981.6691759085. The cubic root of 288377088 is about 660.6735456384.

The spelling of 288377088 in words is "two hundred eighty-eight million, three hundred seventy-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 89 96 128 178 192 256 267 356 384 534 712 768 1068 1424 2136 2848 4219 4272 5696 8438 8544 11392 12657 16876 17088 22784 25314 33752 34176 50628 67504 68352 101256 135008 202512 270016 375491 405024 540032 750982 810048 1080064 1126473 1501964 1620096 2252946 3003928 3240192 4505892 6007856 9011784 12015712 18023568 24031424 36047136 48062848 72094272 96125696 144188544 288377088