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3444324432 = 243294315741
BaseRepresentation
bin1100110101001100…
…0011100001010000
322220001002210212120
43031103003201100
524023221340212
61325435454240
7151232163123
oct31523034120
98801083776
103444324432
11150825aa1a
128015b7380
1342b774ac3
142496283ba
151525b088c
hexcd4c3850

3444324432 has 80 divisors (see below), whose sum is σ = 9227623680. Its totient is φ = 1105753600.

The previous prime is 3444324431. The next prime is 3444324439. The reversal of 3444324432 is 2344234443.

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 = 3444324393 and 3444324402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3444324431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 597082 + ... + 602822.

It is an arithmetic number, because the mean of its divisors is an integer number (115345296).

Almost surely, 23444324432 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 3444324432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4613811840).

3444324432 is an abundant number, since it is smaller than the sum of its proper divisors (5783299248).

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

3444324432 is a wasteful number, since it uses less digits than its factorization.

3444324432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6212 (or 6206 counting only the distinct ones).

The product of its digits is 110592, while the sum is 33.

The square root of 3444324432 is about 58688.3670926360. The cubic root of 3444324432 is about 1510.2007586531.

Adding to 3444324432 its reverse (2344234443), we get a palindrome (5788558875).

The spelling of 3444324432 in words is "three billion, four hundred forty-four million, three hundred twenty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 431 464 696 862 1293 1392 1724 2586 3448 5172 5741 6896 10344 11482 12499 17223 20688 22964 24998 34446 37497 45928 49996 68892 74994 91856 99992 137784 149988 166489 199984 275568 299976 332978 499467 599952 665956 998934 1331912 1997868 2474371 2663824 3995736 4948742 7423113 7991472 9897484 14846226 19794968 29692452 39589936 59384904 71756759 118769808 143513518 215270277 287027036 430540554 574054072 861081108 1148108144 1722162216 3444324432