Search a number
-
+
34213838376 = 23317247104953
BaseRepresentation
bin11111110111010011…
…011011111000101000
310021022102101001221010
4133313103123320220
51030032220312001
623415001143520
72320564553634
oct376723337050
9107272331833
1034213838376
1113567902193
12676a18aba0
1332c33a77a3
141927d43dc4
15d53a3d8d6
hex7f74dbe28

34213838376 has 96 divisors (see below), whose sum is σ = 92796128640. Its totient is φ = 10505275392.

The previous prime is 34213838357. The next prime is 34213838377. The reversal of 34213838376 is 67383831243.

It is not an unprimeable number, because it can be changed into a prime (34213838377) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 273516 + ... + 378468.

It is an arithmetic number, because the mean of its divisors is an integer number (966626340).

Almost surely, 234213838376 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 34213838376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46398064320).

34213838376 is an abundant number, since it is smaller than the sum of its proper divisors (58582290264).

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

34213838376 is a wasteful number, since it uses less digits than its factorization.

34213838376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105043 (or 105022 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 48.

The spelling of 34213838376 in words is "thirty-four billion, two hundred thirteen million, eight hundred thirty-eight thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 17 24 34 47 51 68 94 102 136 141 188 204 282 289 376 408 564 578 799 867 1128 1156 1598 1734 2312 2397 3196 3468 4794 6392 6936 9588 13583 19176 27166 40749 54332 81498 104953 108664 162996 209906 314859 325992 419812 629718 839624 1259436 1784201 2518872 3568402 4932791 5352603 7136804 9865582 10705206 14273608 14798373 19731164 21410412 29596746 30331417 39462328 42820824 59193492 60662834 83857447 90994251 118386984 121325668 167714894 181988502 242651336 251572341 335429788 363977004 503144682 670859576 727954008 1006289364 1425576599 2012578728 2851153198 4276729797 5702306396 8553459594 11404612792 17106919188 34213838376