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426301344 = 253271032053
BaseRepresentation
bin11001011010001…
…101011110100000
31002201011100111200
4121122031132200
51333113120334
6110145041200
713364334030
oct3132153640
91081140450
10426301344
111a96aa567
12ba926200
136a41cc21
144088d8c0
152765b799
hex1968d7a0

426301344 has 144 divisors (see below), whose sum is σ = 1399612032. Its totient is φ = 120559104.

The previous prime is 426301331. The next prime is 426301349. The reversal of 426301344 is 443103624.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (426301349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 206622 + ... + 208674.

It is an arithmetic number, because the mean of its divisors is an integer number (9719528).

Almost surely, 2426301344 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 426301344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699806016).

426301344 is an abundant number, since it is smaller than the sum of its proper divisors (973310688).

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

426301344 is a wasteful number, since it uses less digits than its factorization.

426301344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2179 (or 2168 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 426301344 is about 20647.0662322762. The cubic root of 426301344 is about 752.6138981321.

Adding to 426301344 its reverse (443103624), we get a palindrome (869404968).

The spelling of 426301344 in words is "four hundred twenty-six million, three hundred one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 103 112 126 144 168 206 224 252 288 309 336 412 504 618 672 721 824 927 1008 1236 1442 1648 1854 2016 2053 2163 2472 2884 3296 3708 4106 4326 4944 5768 6159 6489 7416 8212 8652 9888 11536 12318 12978 14371 14832 16424 17304 18477 23072 24636 25956 28742 29664 32848 34608 36954 43113 49272 51912 57484 65696 69216 73908 86226 98544 103824 114968 129339 147816 172452 197088 207648 211459 229936 258678 295632 344904 422918 459872 517356 591264 634377 689808 845836 1034712 1268754 1379616 1480213 1691672 1903131 2069424 2537508 2960426 3383344 3806262 4138848 4440639 5075016 5920852 6766688 7612524 8881278 10150032 11841704 13321917 15225048 17762556 20300064 23683408 26643834 30450096 35525112 47366816 53287668 60900192 71050224 106575336 142100448 213150672 426301344