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283934442 = 231117192701
BaseRepresentation
bin10000111011000…
…111111011101010
3201210021100211110
4100323013323222
51040141400232
644101411150
710015255131
oct2073077352
9653240743
10283934442
11136301170
127b109ab6
1346a9445c
14299d0918
1519dd8acc
hex10ec7eea

283934442 has 96 divisors (see below), whose sum is σ = 693261504. Its totient is φ = 76608000.

The previous prime is 283934407. The next prime is 283934479. The reversal of 283934442 is 244439382.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 283934442.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 404692 + ... + 405392.

It is an arithmetic number, because the mean of its divisors is an integer number (7221474).

Almost surely, 2283934442 is an apocalyptic number.

283934442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 283934442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346630752).

283934442 is an abundant number, since it is smaller than the sum of its proper divisors (409327062).

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

283934442 is a wasteful number, since it uses less digits than its factorization.

283934442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 753 counting only the distinct ones).

The product of its digits is 165888, while the sum is 39.

The square root of 283934442 is about 16850.3543582917. The cubic root of 283934442 is about 657.2632635747.

The spelling of 283934442 in words is "two hundred eighty-three million, nine hundred thirty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 17 19 22 33 34 38 51 57 66 102 114 187 209 323 361 374 418 561 627 646 701 722 969 1083 1122 1254 1402 1938 2103 2166 3553 3971 4206 6137 7106 7711 7942 10659 11913 11917 12274 13319 15422 18411 21318 23133 23826 23834 26638 35751 36822 39957 46266 67507 71502 79914 131087 135014 146509 202521 226423 253061 262174 293018 393261 405042 439527 452846 506122 679269 759183 786522 879054 1358538 1518366 2490653 2783671 4302037 4981306 5567342 7471959 8351013 8604074 12906111 14943918 16702026 25812222 47322407 94644814 141967221 283934442