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281224328 = 2374114
BaseRepresentation
bin10000110000110…
…010010010001000
3201121011200020212
4100300302102020
51033443134303
643523340252
76653240000
oct2060622210
9647150225
10281224328
11134820000
127a221688
1346355a38
14294c7000
1519a50ad8
hex10c32488

281224328 has 100 divisors (see below), whose sum is σ = 676651575. Its totient is φ = 109567920.

The previous prime is 281224313. The next prime is 281224351. The reversal of 281224328 is 823422182.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

281224328 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 140612164 + 140612164 = 11858^2 + 11858^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=11858.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 281224294 and 281224303.

It is an unprimeable number.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 25565843 + ... + 25565853.

Almost surely, 2281224328 is an apocalyptic number.

281224328 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 281224328

281224328 is an abundant number, since it is smaller than the sum of its proper divisors (395427247).

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

281224328 is an frugal number, since it uses more digits than its factorization.

281224328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 20 counting only the distinct ones).

The product of its digits is 12288, while the sum is 32.

The square root of 281224328 is about 16769.7444226202. The cubic root of 281224328 is about 655.1654132277.

Multiplying 281224328 by its sum of digits (32), we get a 4-th power (8999178496 = 3084).

The spelling of 281224328 in words is "two hundred eighty-one million, two hundred twenty-four thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 121 154 196 242 308 343 392 484 539 616 686 847 968 1078 1331 1372 1694 2156 2401 2662 2744 3388 3773 4312 4802 5324 5929 6776 7546 9317 9604 10648 11858 14641 15092 18634 19208 23716 26411 29282 30184 37268 41503 47432 52822 58564 65219 74536 83006 102487 105644 117128 130438 166012 204974 211288 260876 290521 332024 409948 456533 521752 581042 717409 819896 913066 1162084 1434818 1826132 2324168 2869636 3195731 3652264 5021863 5739272 6391462 10043726 12782924 20087452 25565848 35153041 40174904 70306082 140612164 281224328