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881328 = 24374361
BaseRepresentation
bin11010111001010110000
31122202221210
43113022300
5211200303
630520120
710330320
oct3271260
91582853
10881328
11552178
12366040
1324b1c6
1418d280
15126203
hexd72b0

881328 has 80 divisors (see below), whose sum is σ = 2706176. Its totient is φ = 241920.

The previous prime is 881327. The next prime is 881333. The reversal of 881328 is 823188.

881328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 881295 and 881304.

It is not an unprimeable number, because it can be changed into a prime (881327) 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, 14418 + ... + 14478.

2881328 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 881328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353088).

881328 is an abundant number, since it is smaller than the sum of its proper divisors (1824848).

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

881328 is a wasteful number, since it uses less digits than its factorization.

881328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 116 counting only the distinct ones).

The product of its digits is 3072, while the sum is 30.

The square root of 881328 is about 938.7907115007. The cubic root of 881328 is about 95.8765775008.

The spelling of 881328 in words is "eight hundred eighty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 43 48 56 61 84 86 112 122 129 168 172 183 244 258 301 336 344 366 427 488 516 602 688 732 854 903 976 1032 1204 1281 1464 1708 1806 2064 2408 2562 2623 2928 3416 3612 4816 5124 5246 6832 7224 7869 10248 10492 14448 15738 18361 20496 20984 31476 36722 41968 55083 62952 73444 110166 125904 146888 220332 293776 440664 881328