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283284 = 22334361
BaseRepresentation
bin1000101001010010100
3112101121000
41011022110
533031114
610023300
72256621
oct1051224
9471530
10283284
11183921
12117b30
139bc31
1475348
1558e09
hex45294

283284 has 48 divisors (see below), whose sum is σ = 763840. Its totient is φ = 90720.

The previous prime is 283277. The next prime is 283289. The reversal of 283284 is 482382.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 283284.

It is not an unprimeable number, because it can be changed into a prime (283289) by changing a digit.

283284 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 15 ways as a sum of consecutive naturals, for example, 4614 + ... + 4674.

2283284 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 283284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381920).

283284 is an abundant number, since it is smaller than the sum of its proper divisors (480556).

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

283284 is a wasteful number, since it uses less digits than its factorization.

283284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 109 counting only the distinct ones).

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

The square root of 283284 is about 532.2443048075. The cubic root of 283284 is about 65.6760989769.

It can be divided in two parts, 2832 and 84, that added together give a square (2916 = 542).

The spelling of 283284 in words is "two hundred eighty-three thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 61 86 108 122 129 172 183 244 258 366 387 516 549 732 774 1098 1161 1548 1647 2196 2322 2623 3294 4644 5246 6588 7869 10492 15738 23607 31476 47214 70821 94428 141642 283284