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1324344168 = 23357213903
BaseRepresentation
bin100111011101111…
…1110001101101000
310102021222122200000
41032323332031220
510203013003133
6335225143000
744550511500
oct11673761550
93367878600
101324344168
1161a615414
1230b62aa60
131814ac804
14c7c5aa00
157b3ed413
hex4eefe368

1324344168 has 144 divisors (see below), whose sum is σ = 4327202880. Its totient is φ = 378356832.

The previous prime is 1324344167. The next prime is 1324344181. The reversal of 1324344168 is 8614434231.

It is a super-2 number, since 2×13243441682 = 3507774950631224448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (1324344167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 88305 + ... + 102207.

It is an arithmetic number, because the mean of its divisors is an integer number (30050020).

Almost surely, 21324344168 is an apocalyptic number.

1324344168 is a gapful number since it is divisible by the number (18) 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 1324344168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2163601440).

1324344168 is an abundant number, since it is smaller than the sum of its proper divisors (3002858712).

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

1324344168 is a wasteful number, since it uses less digits than its factorization.

1324344168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13938 (or 13915 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 1324344168 is about 36391.5397860547. The cubic root of 1324344168 is about 1098.1633726267.

Adding to 1324344168 its reverse (8614434231), we get a palindrome (9938778399).

The spelling of 1324344168 in words is "one billion, three hundred twenty-four million, three hundred forty-four thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 81 84 98 108 126 147 162 168 189 196 216 243 252 294 324 378 392 441 486 504 567 588 648 756 882 972 1134 1176 1323 1512 1701 1764 1944 2268 2646 3402 3528 3969 4536 5292 6804 7938 10584 11907 13608 13903 15876 23814 27806 31752 41709 47628 55612 83418 95256 97321 111224 125127 166836 194642 250254 291963 333672 375381 389284 500508 583926 681247 750762 778568 875889 1001016 1126143 1167852 1362494 1501524 1751778 2043741 2252286 2335704 2627667 2724988 3003048 3378429 3503556 4087482 4504572 5255334 5449976 6131223 6756858 7007112 7883001 8174964 9009144 10510668 12262446 13513716 15766002 16349928 18393669 21021336 23649003 24524892 27027432 31532004 36787338 47298006 49049784 55181007 63064008 73574676 94596012 110362014 147149352 165543021 189192024 220724028 331086042 441448056 662172084 1324344168