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21345324 = 223711131777
BaseRepresentation
bin101000101101…
…1010000101100
31111011110021120
41101123100230
520431022244
62041300540
7346301160
oct121332054
944143246
1021345324
111105a070
127194750
134564890
142b98ca0
151d19819
hex145b42c

21345324 has 96 divisors (see below), whose sum is σ = 66909696. Its totient is φ = 5114880.

The previous prime is 21345287. The next prime is 21345347. The reversal of 21345324 is 42354312.

It is a junction number, because it is equal to n+sod(n) for n = 21345294 and 21345303.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 11124 + ... + 12900.

It is an arithmetic number, because the mean of its divisors is an integer number (696976).

Almost surely, 221345324 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 21345324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33454848).

21345324 is an abundant number, since it is smaller than the sum of its proper divisors (45564372).

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

21345324 is a wasteful number, since it uses less digits than its factorization.

21345324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1815 (or 1813 counting only the distinct ones).

The product of its digits is 2880, while the sum is 24.

The square root of 21345324 is about 4620.0999989178. The cubic root of 21345324 is about 277.3964616576.

Adding to 21345324 its reverse (42354312), we get a palindrome (63699636).

The spelling of 21345324 in words is "twenty-one million, three hundred forty-five thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 52 66 77 78 84 91 132 143 154 156 182 231 273 286 308 364 429 462 546 572 858 924 1001 1092 1716 1777 2002 3003 3554 4004 5331 6006 7108 10662 12012 12439 19547 21324 23101 24878 37317 39094 46202 49756 58641 69303 74634 78188 92404 117282 136829 138606 149268 161707 234564 254111 273658 277212 323414 410487 485121 508222 547316 646828 762333 820974 970242 1016444 1524666 1641948 1778777 1940484 3049332 3557554 5336331 7115108 10672662 21345324