Search a number
-
+
320432413223034 = 232717314700083183
BaseRepresentation
bin100100011011011100111110…
…0001010100010100001111010
31120000120001001211011210112200
41020312321330022202201322
5313444431040241114114
63053300341330251030
7124331322625330350
oct11066717412424172
91500501054153480
10320432413223034
1193110694677092
122bb31b46a26a76
13109a48543574a8
14591b0239a37d0
15270a2b0a01409
hex1236e7c2a287a

320432413223034 has 48 divisors (see below), whose sum is σ = 798038115892992. Its totient is φ = 91022915062944.

The previous prime is 320432413222963. The next prime is 320432413223057. The reversal of 320432413223034 is 430322314234023.

320432413223034 is a `hidden beast` number, since 3 + 2 + 0 + 4 + 3 + 2 + 413 + 2 + 230 + 3 + 4 = 666.

It is a super-3 number, since 3×3204324132230343 (a number of 44 digits) contains 333 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 320432413223034.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7350019794 + ... + 7350063389.

It is an arithmetic number, because the mean of its divisors is an integer number (16625794081104).

Almost surely, 2320432413223034 is an apocalyptic number.

320432413223034 is an abundant number, since it is smaller than the sum of its proper divisors (477605702669958).

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

320432413223034 is a wasteful number, since it uses less digits than its factorization.

320432413223034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14700083371 (or 14700083368 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 320432413223034 its reverse (430322314234023), we get a palindrome (750754727457057).

The spelling of 320432413223034 in words is "three hundred twenty trillion, four hundred thirty-two billion, four hundred thirteen million, two hundred twenty-three thousand, thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 173 346 519 1038 1211 1557 2422 3114 3633 7266 10899 21798 14700083183 29400166366 44100249549 88200499098 102900582281 132300748647 205801164562 264601497294 308701746843 617403493686 926105240529 1852210481058 2543114390659 5086228781318 7629343171977 15258686343954 17801800734613 22888029515931 35603601469226 45776059031862 53405402203839 106810804407678 160216206611517 320432413223034