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34222026344 = 23112101350033
BaseRepresentation
bin11111110111110010…
…101010111001101000
310021022222210001201012
4133313302222321220
51030041314320334
623415452443052
72321024265362
oct376762527150
9107288701635
1034222026344
1113571494a00
126770a79488
1332c4cb363c
141929075d32
15d546099ce
hex7f7caae68

34222026344 has 48 divisors (see below), whose sum is σ = 71228418660. Its totient is φ = 15401408000.

The previous prime is 34222026337. The next prime is 34222026437. The reversal of 34222026344 is 44362022243.

It can be written as a sum of positive squares in 2 ways, for example, as 31247632900 + 2974393444 = 176770^2 + 54538^2 .

It is a super-2 number, since 2×342220263442 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34222026344.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77249 + ... + 272784.

Almost surely, 234222026344 is an apocalyptic number.

It is an amenable number.

34222026344 is an abundant number, since it is smaller than the sum of its proper divisors (37006392316).

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

34222026344 is a wasteful number, since it uses less digits than its factorization.

34222026344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350162 (or 350147 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 34222026344 its reverse (44362022243), we get a palindrome (78584048587).

The spelling of 34222026344 in words is "thirty-four billion, two hundred twenty-two million, twenty-six thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 101 121 202 242 404 484 808 968 1111 2222 4444 8888 12221 24442 48884 97768 350033 700066 1400132 2800264 3850363 7700726 15401452 30802904 35353333 42353993 70706666 84707986 141413332 169415972 282826664 338831944 388886663 777773326 1555546652 3111093304 4277753293 8555506586 17111013172 34222026344