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34243332344 = 23133161174121
BaseRepresentation
bin11111111001000011…
…111100100011111000
310021101110212112001022
4133321003330203320
51030112243113334
623421533242012
72321403344114
oct377103744370
9107343775038
1034243332344
1113582517471
126778033308
1332c9533340
14192bc20744
15d5641782e
hex7f90fc8f8

34243332344 has 64 divisors (see below), whose sum is σ = 72546190080. Its totient is φ = 15043968000.

The previous prime is 34243332341. The next prime is 34243332359. The reversal of 34243332344 is 44323334243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34243332341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109604 + ... + 283724.

It is an arithmetic number, because the mean of its divisors is an integer number (1133534220).

Almost surely, 234243332344 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 34243332344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36273095040).

34243332344 is an abundant number, since it is smaller than the sum of its proper divisors (38302857736).

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

34243332344 is a wasteful number, since it uses less digits than its factorization.

34243332344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174232 (or 174228 counting only the distinct ones).

The product of its digits is 248832, while the sum is 35.

Adding to 34243332344 its reverse (44323334243), we get a palindrome (78566666587).

The spelling of 34243332344 in words is "thirty-four billion, two hundred forty-three million, three hundred thirty-two thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 26 31 52 61 62 104 122 124 244 248 403 488 793 806 1586 1612 1891 3172 3224 3782 6344 7564 15128 24583 49166 98332 174121 196664 348242 696484 1392968 2263573 4527146 5397751 9054292 10621381 10795502 18108584 21242762 21591004 42485524 43182008 70170763 84971048 138077953 140341526 276155906 280683052 329262811 552311812 561366104 658525622 1104623624 1317051244 2634102488 4280416543 8560833086 17121666172 34243332344