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3450444426 = 2331113736121
BaseRepresentation
bin1100110110101001…
…1001101010001010
322220110121201221000
43031222121222022
524031303210201
61330214555430
7151335202512
oct31552315212
98813551830
103450444426
11151075aa70
12803668b76
1342cb085c0
1424a37c842
15152dbdd86
hexcda99a8a

3450444426 has 128 divisors (see below), whose sum is σ = 9133044480. Its totient is φ = 951782400.

The previous prime is 3450444419. The next prime is 3450444427. The reversal of 3450444426 is 6244440543.

3450444426 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3450444427) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 560646 + ... + 566766.

It is an arithmetic number, because the mean of its divisors is an integer number (71351910).

Almost surely, 23450444426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3450444426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4566522240).

3450444426 is an abundant number, since it is smaller than the sum of its proper divisors (5682600054).

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

3450444426 is a wasteful number, since it uses less digits than its factorization.

3450444426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6229 (or 6223 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

The square root of 3450444426 is about 58740.4837058736. The cubic root of 3450444426 is about 1511.0946882735.

Adding to 3450444426 its reverse (6244440543), we get a palindrome (9694884969).

The spelling of 3450444426 in words is "three billion, four hundred fifty million, four hundred forty-four thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 73 78 99 117 143 146 198 219 234 286 297 351 429 438 594 657 702 803 858 949 1287 1314 1606 1898 1971 2409 2574 2847 3861 3942 4818 5694 6121 7227 7722 8541 10439 12242 14454 17082 18363 20878 21681 25623 31317 36726 43362 51246 55089 62634 67331 79573 93951 110178 134662 159146 165267 187902 201993 238719 281853 330534 403986 446833 477438 563706 605979 716157 875303 893666 1211958 1340499 1432314 1750606 1817937 2148471 2625909 2680998 3635874 4021497 4296942 4915163 5251818 5808829 7877727 8042994 9830326 11617658 12064491 14745489 15755454 17426487 23633181 24128982 29490978 34852974 44236467 47266362 52279461 63897119 88472934 104558922 127794238 132709401 156838383 191691357 265418802 313676766 383382714 575074071 1150148142 1725222213 3450444426