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3444223024 = 2411192151359
BaseRepresentation
bin1100110101001010…
…1010110000110000
322220000220122202201
43031102222300300
524023210114044
61325433352544
7151231261354
oct31522526060
98800818681
103444223024
1115081a0810
12801568754
1342b73a8b8
142495dd464
151525907d4
hexcd4aac30

3444223024 has 120 divisors (see below), whose sum is σ = 7755575040. Its totient is φ = 1469232000.

The previous prime is 3444222989. The next prime is 3444223051. The reversal of 3444223024 is 4203224443.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3444222983 and 3444223001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9593757 + ... + 9594115.

It is an arithmetic number, because the mean of its divisors is an integer number (64629792).

Almost surely, 23444223024 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 3444223024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3877787520).

3444223024 is an abundant number, since it is smaller than the sum of its proper divisors (4311352016).

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

3444223024 is a wasteful number, since it uses less digits than its factorization.

3444223024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

The square root of 3444223024 is about 58687.5031331203. The cubic root of 3444223024 is about 1510.1859373681.

Adding to 3444223024 its reverse (4203224443), we get a palindrome (7647447467).

The spelling of 3444223024 in words is "three billion, four hundred forty-four million, two hundred twenty-three thousand, twenty-four".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 151 152 176 209 302 304 359 361 418 604 718 722 836 1208 1436 1444 1661 1672 2416 2869 2872 2888 3322 3344 3949 3971 5738 5744 5776 6644 6821 7898 7942 11476 13288 13642 15796 15884 22952 26576 27284 31559 31592 31768 45904 54209 54511 54568 63118 63184 63536 75031 108418 109022 109136 126236 129599 150062 216836 218044 252472 259198 300124 433672 436088 504944 518396 596299 599621 600248 867344 872176 1029971 1036792 1192598 1199242 1200496 1425589 2059942 2073584 2385196 2398484 2851178 4119884 4770392 4796968 5702356 8239768 9540784 9593936 11329681 11404712 16479536 19569449 22659362 22809424 39138898 45318724 78277796 90637448 156555592 181274896 215263939 313111184 430527878 861055756 1722111512 3444223024