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11412324 = 223271123179
BaseRepresentation
bin101011100010…
…001101100100
3210110210202200
4223202031210
510410143244
61044334500
7166001040
oct53421544
923423680
1011412324
116495280
1239a4430
132497671
141731020
151006669
hexae2364

11412324 has 144 divisors (see below), whose sum is σ = 37739520. Its totient is φ = 2819520.

The previous prime is 11412319. The next prime is 11412343. The reversal of 11412324 is 42321411.

It is a super-2 number, since 2×114123242 = 260482278161952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 = 11412297 and 11412306.

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 47 ways as a sum of consecutive naturals, for example, 63667 + ... + 63845.

It is an arithmetic number, because the mean of its divisors is an integer number (262080).

Almost surely, 211412324 is an apocalyptic number.

11412324 is a gapful number since it is divisible by the number (14) 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 11412324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18869760).

11412324 is an abundant number, since it is smaller than the sum of its proper divisors (26327196).

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

11412324 is a wasteful number, since it uses less digits than its factorization.

11412324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 225 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 11412324 is about 3378.2131371481. The cubic root of 11412324 is about 225.1427834455.

Adding to 11412324 its reverse (42321411), we get a palindrome (53733735).

The spelling of 11412324 in words is "eleven million, four hundred twelve thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 23 28 33 36 42 44 46 63 66 69 77 84 92 99 126 132 138 154 161 179 198 207 231 252 253 276 308 322 358 396 414 462 483 506 537 644 693 716 759 828 924 966 1012 1074 1253 1386 1449 1518 1611 1771 1932 1969 2148 2277 2506 2772 2898 3036 3222 3542 3759 3938 4117 4554 5012 5313 5796 5907 6444 7084 7518 7876 8234 9108 10626 11277 11814 12351 13783 15036 15939 16468 17721 21252 22554 23628 24702 27566 28819 31878 35442 37053 41349 45108 45287 49404 55132 57638 63756 70884 74106 82698 86457 90574 115276 124047 135861 148212 165396 172914 181148 248094 259371 271722 317009 345828 407583 496188 518742 543444 634018 815166 951027 1037484 1268036 1630332 1902054 2853081 3804108 5706162 11412324