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41112324 = 2232111731197
BaseRepresentation
bin1001110011010…
…1001100000100
32212100201111200
42130311030010
541011043244
64025102500
71006310001
oct234651404
985321450
1041112324
1121230330
1211927a30
138695c26
1456628a8
153921669
hex2735304

41112324 has 144 divisors (see below), whose sum is σ = 124540416. Its totient is φ = 11289600.

The previous prime is 41112319. The next prime is 41112329. The reversal of 41112324 is 42321114.

It is an interprime number because it is at equal distance from previous prime (41112319) and next prime (41112329).

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 = 41112297 and 41112306.

It is not an unprimeable number, because it can be changed into a prime (41112329) 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 47 ways as a sum of consecutive naturals, for example, 208594 + ... + 208790.

It is an arithmetic number, because the mean of its divisors is an integer number (864864).

Almost surely, 241112324 is an apocalyptic number.

41112324 is a gapful number since it is divisible by the number (44) 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 41112324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62270208).

41112324 is an abundant number, since it is smaller than the sum of its proper divisors (83428092).

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

41112324 is a wasteful number, since it uses less digits than its factorization.

41112324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 261 counting only the distinct ones).

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

The square root of 41112324 is about 6411.8892691624. The cubic root of 41112324 is about 345.1363292342.

Adding to 41112324 its reverse (42321114), we get a palindrome (83433438).

The spelling of 41112324 in words is "forty-one million, one hundred twelve thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 31 33 34 36 44 51 62 66 68 93 99 102 124 132 153 186 187 197 198 204 279 306 341 372 374 394 396 527 558 561 591 612 682 748 788 1023 1054 1116 1122 1182 1364 1581 1683 1773 2046 2108 2167 2244 2364 3069 3162 3349 3366 3546 4092 4334 4743 5797 6107 6138 6324 6501 6698 6732 7092 8668 9486 10047 11594 12214 12276 13002 13396 17391 18321 18972 19503 20094 23188 24428 26004 30141 34782 36642 36839 39006 40188 52173 54963 60282 67177 69564 73284 73678 78012 103819 104346 109926 110517 120564 134354 147356 201531 207638 208692 219852 221034 268708 311457 331551 403062 415276 442068 604593 622914 663102 806124 934371 1142009 1209186 1245828 1326204 1868742 2284018 2418372 3426027 3737484 4568036 6852054 10278081 13704108 20556162 41112324