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34244010112 = 2713171210549
BaseRepresentation
bin11111111001000110…
…100010000010000000
310021101112010221202211
4133321012202002000
51030112431310422
623421555551504
72321412166114
oct377106420200
9107345127684
1034244010112
111358293a704
1267782bb594
1332c970c9a0
14192bd59744
15d564ed577
hex7f91a2080

34244010112 has 64 divisors (see below), whose sum is σ = 77789943000. Its totient is φ = 14875213824.

The previous prime is 34244010107. The next prime is 34244010121. The reversal of 34244010112 is 21101044243.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 19170063936 + 15073946176 = 138456^2 + 122776^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 576987 + ... + 633562.

Almost surely, 234244010112 is an apocalyptic number.

34244010112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34244010112 is an abundant number, since it is smaller than the sum of its proper divisors (43545932888).

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

34244010112 is a wasteful number, since it uses less digits than its factorization.

34244010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210593 (or 1210581 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 34244010112 its reverse (21101044243), we get a palindrome (55345054355).

The spelling of 34244010112 in words is "thirty-four billion, two hundred forty-four million, ten thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 136 208 221 272 416 442 544 832 884 1088 1664 1768 2176 3536 7072 14144 28288 1210549 2421098 4842196 9684392 15737137 19368784 20579333 31474274 38737568 41158666 62948548 77475136 82317332 125897096 154950272 164634664 251794192 267531329 329269328 503588384 535062658 658538656 1007176768 1070125316 1317077312 2014353536 2140250632 2634154624 4280501264 8561002528 17122005056 34244010112