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34321411404 = 22327891530293
BaseRepresentation
bin11111111101101101…
…110010110101001100
310021120220210100101100
4133331231302311030
51030242240131104
623433402543100
72323342116630
oct377555626514
9107526710340
1034321411404
11136125a6415
12679a207a90
13330c770277
141938346dc0
15d5d1dc139
hex7fdb72d4c

34321411404 has 72 divisors (see below), whose sum is σ = 100264862880. Its totient is φ = 9695930112.

The previous prime is 34321411403. The next prime is 34321411447. The reversal of 34321411404 is 40411412343.

34321411404 is a `hidden beast` number, since 3 + 43 + 214 + 1 + 1 + 404 = 666.

It is not an unprimeable number, because it can be changed into a prime (34321411403) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 742719 + ... + 787574.

It is an arithmetic number, because the mean of its divisors is an integer number (1392567540).

Almost surely, 234321411404 is an apocalyptic number.

It is an amenable number.

34321411404 is an abundant number, since it is smaller than the sum of its proper divisors (65943451476).

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

34321411404 is a wasteful number, since it uses less digits than its factorization.

34321411404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530399 (or 1530394 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 34321411404 its reverse (40411412343), we get a palindrome (74732823747).

The spelling of 34321411404 in words is "thirty-four billion, three hundred twenty-one million, four hundred eleven thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 89 126 178 252 267 356 534 623 801 1068 1246 1602 1869 2492 3204 3738 5607 7476 11214 22428 1530293 3060586 4590879 6121172 9181758 10712051 13772637 18363516 21424102 27545274 32136153 42848204 55090548 64272306 96408459 128544612 136196077 192816918 272392154 385633836 408588231 544784308 817176462 953372539 1225764693 1634352924 1906745078 2451529386 2860117617 3813490156 4903058772 5720235234 8580352851 11440470468 17160705702 34321411404