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34235443424 = 2571371165587
BaseRepresentation
bin11111111000100101…
…110110100011100000
310021100221000201111002
4133320211312203200
51030103233142144
623421052211132
72321246316260
oct377045664340
9107327021432
1034235443424
11135790193a6
126775469aa8
1332c7a00640
14192ab697a0
15d558aa14e
hex7f89768e0

34235443424 has 96 divisors (see below), whose sum is σ = 84124002816. Its totient is φ = 13352855040.

The previous prime is 34235443391. The next prime is 34235443447. The reversal of 34235443424 is 42434453243.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123959 + ... + 289545.

It is an arithmetic number, because the mean of its divisors is an integer number (876291696).

Almost surely, 234235443424 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 34235443424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42062001408).

34235443424 is an abundant number, since it is smaller than the sum of its proper divisors (49888559392).

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

34235443424 is a wasteful number, since it uses less digits than its factorization.

34235443424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165688 (or 165680 counting only the distinct ones).

The product of its digits is 552960, while the sum is 38.

Adding to 34235443424 its reverse (42434453243), we get a palindrome (76669896667).

The spelling of 34235443424 in words is "thirty-four billion, two hundred thirty-five million, four hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 71 91 104 112 142 182 208 224 284 364 416 497 568 728 923 994 1136 1456 1846 1988 2272 2912 3692 3976 6461 7384 7952 12922 14768 15904 25844 29536 51688 103376 165587 206752 331174 662348 1159109 1324696 2152631 2318218 2649392 4305262 4636436 5298784 8610524 9272872 11756677 15068417 17221048 18545744 23513354 30136834 34442096 37091488 47026708 60273668 68884192 82296739 94053416 120547336 152836801 164593478 188106832 241094672 305673602 329186956 376213664 482189344 611347204 658373912 1069857607 1222694408 1316747824 2139715214 2445388816 2633495648 4279430428 4890777632 8558860856 17117721712 34235443424