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283706268 = 223172296073
BaseRepresentation
bin10000111010010…
…000001110011100
3201202211202211120
4100322100032130
51040112100033
644052450540
710013314656
oct2072201634
9652752746
10283706268
1113616579a
127b019a50
1346a14641
14299716d6
1519d911b3
hex10e9039c

283706268 has 48 divisors (see below), whose sum is σ = 704098080. Its totient is φ = 88602624.

The previous prime is 283706263. The next prime is 283706321. The reversal of 283706268 is 862607382.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (283706263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43680 + ... + 49752.

It is an arithmetic number, because the mean of its divisors is an integer number (14668710).

Almost surely, 2283706268 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 283706268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352049040).

283706268 is an abundant number, since it is smaller than the sum of its proper divisors (420391812).

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

283706268 is a wasteful number, since it uses less digits than its factorization.

283706268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6326 (or 6324 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 283706268 is about 16843.5823980530. The cubic root of 283706268 is about 657.0871541676.

The spelling of 283706268 in words is "two hundred eighty-three million, seven hundred six thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 229 458 687 916 1374 2748 3893 6073 7786 11679 12146 15572 18219 23358 24292 36438 46716 72876 103241 206482 309723 412964 619446 1238892 1390717 2781434 4172151 5562868 8344302 16688604 23642189 47284378 70926567 94568756 141853134 283706268