Search a number
-
+
340035345504504 = 233313196373432027
BaseRepresentation
bin100110101010000101010010…
…1111110101101100011111000
31122120222001122212200021012000
41031110022211332231203320
5324032114341422121004
63203110025313221000
7131423512564421646
oct11524124576554370
91576861585607160
10340035345504504
11993891a891a241
1232179165261760
1311797270664190
145dd7b27278196
15294a176607c39
hex13542a5fad8f8

340035345504504 has 128 divisors (see below), whose sum is σ = 1070736580704000. Its totient is φ = 99119614868352.

The previous prime is 340035345504487. The next prime is 340035345504527. The reversal of 340035345504504 is 405405543530043.

340035345504504 is a `hidden beast` number, since 3 + 4 + 0 + 0 + 3 + 53 + 4 + 550 + 45 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 340035345504504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3186662662 + ... + 3186769365.

It is an arithmetic number, because the mean of its divisors is an integer number (8365129536750).

Almost surely, 2340035345504504 is an apocalyptic number.

It is an amenable number.

340035345504504 is an abundant number, since it is smaller than the sum of its proper divisors (730701235199496).

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

340035345504504 is a wasteful number, since it uses less digits than its factorization.

340035345504504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6373432074 (or 6373432064 counting only the distinct ones).

The product of its (nonzero) digits is 4320000, while the sum is 45.

The spelling of 340035345504504 in words is "three hundred forty trillion, thirty-five billion, three hundred forty-five million, five hundred four thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 18 19 24 26 27 36 38 39 52 54 57 72 76 78 104 108 114 117 152 156 171 216 228 234 247 312 342 351 456 468 494 513 684 702 741 936 988 1026 1368 1404 1482 1976 2052 2223 2808 2964 4104 4446 5928 6669 8892 13338 17784 26676 53352 6373432027 12746864054 19120296081 25493728108 38240592162 50987456216 57360888243 76481184324 82854616351 114721776486 121095208513 152962368648 165709232702 172082664729 229443552972 242190417026 248563849053 331418465404 344165329458 363285625539 458887105944 484380834052 497127698106 662836930808 688330658916 726571251078 745691547159 968761668104 994255396212 1089856876617 1376661317832 1453142502156 1491383094318 1574237710669 1988510792424 2179713753234 2237074641477 2906285004312 2982766188636 3148475421338 3269570629851 4359427506468 4474149282954 4722713132007 5965532377272 6296950842676 6539141259702 8718855012936 8948298565908 9445426264014 12593901685352 13078282519404 14168139396021 17896597131816 18890852528028 26156565038808 28336278792042 37781705056056 42504418188063 56672557584084 85008836376126 113345115168168 170017672752252 340035345504504