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34250352344 = 231310927111149
BaseRepresentation
bin11111111001011110…
…101110011011011000
310021101222002011200022
4133321132232123120
51030121042233334
623422343530012
72321520122435
oct377136563330
9107358064608
1034250352344
111358648171a
12677a459908
1332cab206a0
14192cb2ab8c
15d56d5282e
hex7f97ae6d8

34250352344 has 64 divisors (see below), whose sum is σ = 70057680000. Its totient is φ = 15603632640.

The previous prime is 34250352329. The next prime is 34250352371. The reversal of 34250352344 is 44325305243.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3066482 + ... + 3077630.

It is an arithmetic number, because the mean of its divisors is an integer number (1094651250).

Almost surely, 234250352344 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 34250352344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35028840000).

34250352344 is an abundant number, since it is smaller than the sum of its proper divisors (35807327656).

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

34250352344 is a wasteful number, since it uses less digits than its factorization.

34250352344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11548 (or 11544 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 35.

Adding to 34250352344 its reverse (44325305243), we get a palindrome (78575657587).

The spelling of 34250352344 in words is "thirty-four billion, two hundred fifty million, three hundred fifty-two thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 26 52 104 109 218 271 436 542 872 1084 1417 2168 2834 3523 5668 7046 11149 11336 14092 22298 28184 29539 44596 59078 89192 118156 144937 236312 289874 384007 579748 768014 1159496 1215241 1536028 2430482 3021379 3072056 4860964 6042758 9721928 12085516 15798133 24171032 31596266 39277927 63192532 78555854 126385064 157111708 314223416 329330311 658660622 1317321244 2634642488 4281294043 8562588086 17125176172 34250352344