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21314328 = 2337172439
BaseRepresentation
bin101000101001…
…1101100011000
31111002212202120
41101103230120
520424024303
62040501240
7346111620
oct121235430
944085676
1021314328
1111038852
12717a820
134553739
142b8b880
151d10553
hex1453b18

21314328 has 96 divisors (see below), whose sum is σ = 64838400. Its totient is φ = 5718528.

The previous prime is 21314327. The next prime is 21314357. The reversal of 21314328 is 82341312.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 = 21314298 and 21314307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21314327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48333 + ... + 48771.

It is an arithmetic number, because the mean of its divisors is an integer number (675400).

Almost surely, 221314328 is an apocalyptic number.

21314328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21314328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32419200).

21314328 is an abundant number, since it is smaller than the sum of its proper divisors (43524072).

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

21314328 is a wasteful number, since it uses less digits than its factorization.

21314328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 468 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 21314328 is about 4616.7443074097. The cubic root of 21314328 is about 277.2621255074.

It can be divided in two parts, 213 and 14328, that added together give a palindrome (14541).

The spelling of 21314328 in words is "twenty-one million, three hundred fourteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 289 357 408 439 476 578 714 867 878 952 1156 1317 1428 1734 1756 2023 2312 2634 2856 3073 3468 3512 4046 5268 6069 6146 6936 7463 8092 9219 10536 12138 12292 14926 16184 18438 22389 24276 24584 29852 36876 44778 48552 52241 59704 73752 89556 104482 126871 156723 179112 208964 253742 313446 380613 417928 507484 626892 761226 888097 1014968 1253784 1522452 1776194 2664291 3044904 3552388 5328582 7104776 10657164 21314328