Search a number
-
+
34010430320112 = 24323152632018381
BaseRepresentation
bin1111011101110101010111…
…00111100010110111110000
311110102100212100212121202120
413232322223213202313300
513424211330130220422
6200200102003114240
710110113111560011
oct756725347426760
9143370770777676
1034010430320112
11a9228192a1594
123993548372980
1315c922912131c
14858183a67008
153dea517e445c
hex1eeeab9e2df0

34010430320112 has 80 divisors (see below), whose sum is σ = 91686342555648. Its totient is φ = 10843189477120.

The previous prime is 34010430320101. The next prime is 34010430320171. The reversal of 34010430320112 is 21102303401043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15841162 + ... + 17859542.

Almost surely, 234010430320112 is an apocalyptic number.

It is an amenable number.

34010430320112 is an abundant number, since it is smaller than the sum of its proper divisors (57675912235536).

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

34010430320112 is a wasteful number, since it uses less digits than its factorization.

34010430320112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2033678 (or 2033672 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 34010430320112 its reverse (21102303401043), we get a palindrome (55112733721155).

The spelling of 34010430320112 in words is "thirty-four trillion, ten billion, four hundred thirty million, three hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1104 15263 30526 45789 61052 91578 122104 183156 244208 351049 366312 702098 732624 1053147 1404196 2018381 2106294 2808392 4036762 4212588 5616784 6055143 8073524 8425176 12110286 16147048 16850352 24220572 32294096 46422763 48441144 92845526 96882288 139268289 185691052 278536578 371382104 557073156 742764208 1114146312 2228292624 30806549203 61613098406 92419647609 123226196812 184839295218 246452393624 369678590436 492904787248 708550631669 739357180872 1417101263338 1478714361744 2125651895007 2834202526676 4251303790014 5668405053352 8502607580028 11336810106704 17005215160056 34010430320112