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4324443312 = 2437181211337
BaseRepresentation
bin1000000011100000…
…11100010010110000
3102011101012111000010
410001300130102300
532324024141222
61553035454520
7212110106310
oct40160342260
912141174003
104324443312
11191a0432a2
12a082b7440
1353bbca1c7
142d048b440
151a49b180c
hex101c1c4b0

4324443312 has 160 divisors (see below), whose sum is σ = 12937060864. Its totient is φ = 1219276800.

The previous prime is 4324443287. The next prime is 4324443313. The reversal of 4324443312 is 2133444234.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4324443312.

It is not an unprimeable number, because it can be changed into a prime (4324443313) 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 31 ways as a sum of consecutive naturals, for example, 12832008 + ... + 12832344.

Almost surely, 24324443312 is an apocalyptic number.

4324443312 is a gapful number since it is divisible by the number (42) 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 4324443312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6468530432).

4324443312 is an abundant number, since it is smaller than the sum of its proper divisors (8612617552).

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

4324443312 is a wasteful number, since it uses less digits than its factorization.

4324443312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 741 counting only the distinct ones).

The product of its digits is 27648, while the sum is 30.

The square root of 4324443312 is about 65760.4996331384. The cubic root of 4324443312 is about 1629.2087584587.

Adding to 4324443312 its reverse (2133444234), we get a palindrome (6457887546).

The spelling of 4324443312 in words is "four billion, three hundred twenty-four million, four hundred forty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 181 211 336 337 362 422 543 633 674 724 844 1011 1086 1266 1267 1348 1448 1477 1688 2022 2172 2359 2532 2534 2696 2896 2954 3376 3801 4044 4344 4431 4718 5064 5068 5392 5908 7077 7602 8088 8688 8862 9436 10128 10136 11816 14154 15204 16176 17724 18872 20272 23632 28308 30408 35448 37744 38191 56616 60816 60997 70896 71107 76382 113232 114573 121994 142214 152764 182991 213321 229146 243988 267337 284428 305528 365982 426642 426979 458292 487976 497749 534674 568856 611056 731964 802011 853284 853958 916584 975952 995498 1069348 1137712 1280937 1463928 1493247 1604022 1706568 1707916 1833168 1990996 2138696 2561874 2927856 2986494 3208044 3413136 3415832 3981992 4277392 5123748 5972988 6416088 6831664 7963984 10247496 11945976 12832176 12870367 20494992 23891952 25740734 38611101 51481468 77222202 90092569 102962936 154444404 180185138 205925872 270277707 308888808 360370276 540555414 617777616 720740552 1081110828 1441481104 2162221656 4324443312