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884268 = 2232711229
BaseRepresentation
bin11010111111000101100
31122220222200
43113320230
5211244033
630541500
710342020
oct3277054
91586880
10884268
11554400
12367890
1324c648
14190380
15127013
hexd7e2c

884268 has 108 divisors (see below), whose sum is σ = 2904720. Its totient is φ = 221760.

The previous prime is 884267. The next prime is 884269. The reversal of 884268 is 862488.

It is an interprime number because it is at equal distance from previous prime (884267) and next prime (884269).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 11.

It is a zygodrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (884267) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30478 + ... + 30506.

2884268 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 884268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452360).

884268 is an abundant number, since it is smaller than the sum of its proper divisors (2020452).

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

884268 is a wasteful number, since it uses less digits than its factorization.

884268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 52 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 884268 is about 940.3552520192. The cubic root of 884268 is about 95.9830699311.

It can be divided in two parts, 88 and 4268, that added together give a square (4356 = 662).

The spelling of 884268 in words is "eight hundred eighty-four thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 29 33 36 42 44 58 63 66 77 84 87 99 116 121 126 132 154 174 198 203 231 242 252 261 308 319 348 363 396 406 462 484 522 609 638 693 726 812 847 924 957 1044 1089 1218 1276 1386 1452 1694 1827 1914 2178 2233 2436 2541 2772 2871 3388 3509 3654 3828 4356 4466 5082 5742 6699 7018 7308 7623 8932 10164 10527 11484 13398 14036 15246 20097 21054 24563 26796 30492 31581 40194 42108 49126 63162 73689 80388 98252 126324 147378 221067 294756 442134 884268