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382284 = 223273741
BaseRepresentation
bin1011101010101001100
3201102101200
41131111030
544213114
612105500
73151350
oct1352514
9642350
10382284
11241241
12165290
13105006
149d460
1578409
hex5d54c

382284 has 72 divisors (see below), whose sum is σ = 1161888. Its totient is φ = 103680.

The previous prime is 382271. The next prime is 382303. The reversal of 382284 is 482283.

382284 is a `hidden beast` number, since 382 + 284 = 666.

It is a super-2 number, since 2×3822842 = 292282113312, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9304 + ... + 9344.

2382284 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 382284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580944).

382284 is an abundant number, since it is smaller than the sum of its proper divisors (779604).

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

382284 is a wasteful number, since it uses less digits than its factorization.

382284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 90 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 382284 is about 618.2911935326. The cubic root of 382284 is about 72.5763919324.

Subtracting 382284 from its reverse (482283), we obtain a palindrome (99999).

It can be divided in two parts, 382 and 284, that added together give a palindrome (666).

The spelling of 382284 in words is "three hundred eighty-two thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 41 42 63 74 82 84 111 123 126 148 164 222 246 252 259 287 333 369 444 492 518 574 666 738 777 861 1036 1148 1332 1476 1517 1554 1722 2331 2583 3034 3108 3444 4551 4662 5166 6068 9102 9324 10332 10619 13653 18204 21238 27306 31857 42476 54612 63714 95571 127428 191142 382284