Search a number
-
+
34054040552 = 23717593831583
BaseRepresentation
bin11111101101110001…
…110110101111101000
310020220021200111112012
4133231301312233220
51024220313244202
623351052135052
72313614366030
oct375561665750
9106807614465
1034054040552
1113495688774
126724767488
13329925806c
141910a288c0
15d449c6152
hex7edc76be8

34054040552 has 128 divisors (see below), whose sum is σ = 78829977600. Its totient is φ = 13459504128.

The previous prime is 34054040509. The next prime is 34054040561. The reversal of 34054040552 is 25504045043.

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, 21511553 + ... + 21513135.

It is an arithmetic number, because the mean of its divisors is an integer number (615859200).

Almost surely, 234054040552 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 34054040552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39414988800).

34054040552 is an abundant number, since it is smaller than the sum of its proper divisors (44775937048).

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

34054040552 is a wasteful number, since it uses less digits than its factorization.

34054040552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2055 (or 2051 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 32.

Adding to 34054040552 its reverse (25504045043), we get a palindrome (59558085595).

The spelling of 34054040552 in words is "thirty-four billion, fifty-four million, forty thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 17 28 34 56 59 68 118 119 136 236 238 383 413 472 476 766 826 952 1003 1532 1583 1652 2006 2681 3064 3166 3304 4012 5362 6332 6511 7021 8024 10724 11081 12664 13022 14042 21448 22162 22597 26044 26911 28084 44324 45194 45577 52088 53822 56168 88648 90388 91154 93397 107644 158179 180776 182308 186794 188377 215288 316358 364616 373588 376754 384149 606289 632716 653779 747176 753508 768298 1212578 1265432 1307558 1507016 1536596 1587749 2425156 2615116 2689043 3073192 3175498 4244023 4850312 5230232 5378086 6350996 8488046 10306913 10756172 11114243 12701992 16976092 20613826 21512344 22228486 33952184 35771051 41227652 44456972 71542102 72148391 82455304 88913944 143084204 144296782 250397357 286168408 288593564 500794714 577187128 608107867 1001589428 1216215734 2003178856 2432431468 4256755069 4864862936 8513510138 17027020276 34054040552