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34212344244 = 223132334727479
BaseRepresentation
bin11111110111001101…
…101111000110110100
310021022022120011100220
4133313031233012310
51030031330003434
623414505134340
72320546061601
oct376715570664
9107268504326
1034212344244
1113566a81671
12676978a3b0
1332c2ca36a0
141927a756a8
15d53845d49
hex7f736f1b4

34212344244 has 96 divisors (see below), whose sum is σ = 89969080320. Its totient is φ = 10039801728.

The previous prime is 34212344227. The next prime is 34212344273. The reversal of 34212344244 is 44244321243.

It is a nude number because it is divisible by every one of its digits.

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 31 ways as a sum of consecutive naturals, for example, 1231297 + ... + 1258775.

It is an arithmetic number, because the mean of its divisors is an integer number (937177920).

Almost surely, 234212344244 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 34212344244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44984540160).

34212344244 is an abundant number, since it is smaller than the sum of its proper divisors (55756736076).

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

34212344244 is a wasteful number, since it uses less digits than its factorization.

34212344244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27869 (or 27867 counting only the distinct ones).

The product of its digits is 73728, while the sum is 33.

Adding to 34212344244 its reverse (44244321243), we get a palindrome (78456665487).

The spelling of 34212344244 in words is "thirty-four billion, two hundred twelve million, three hundred forty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 92 138 156 276 299 347 598 694 897 1041 1196 1388 1794 2082 3588 4164 4511 7981 9022 13533 15962 18044 23943 27066 27479 31924 47886 54132 54958 82437 95772 103753 109916 164874 207506 311259 329748 357227 415012 622518 632017 714454 1071681 1245036 1264034 1428908 1896051 2143362 2528068 3792102 4286724 7584204 8216221 9535213 16432442 19070426 24648663 28605639 32864884 38140852 49297326 57211278 98594652 114422556 123957769 219309899 247915538 371873307 438619798 495831076 657929697 743746614 877239596 1315859394 1487493228 2631718788 2851028687 5702057374 8553086061 11404114748 17106172122 34212344244