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342334414014 = 23294161786661
BaseRepresentation
bin1001111101101001011…
…10001001110010111110
31012201121212121002020220
410332310232021302332
521102100102222024
6421133302322210
733506236336035
oct4766456116276
91181555532226
10342334414014
1112220194111a
125641b129366
1326388715428
14127d777971c
158d890b3e79
hex4fb4b89cbe

342334414014 has 64 divisors (see below), whose sum is σ = 737448425280. Its totient is φ = 105727104000.

The previous prime is 342334413989. The next prime is 342334414021. The reversal of 342334414014 is 410414433243.

It is a Curzon number.

It is a congruent number.

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, 41844 + ... + 828504.

It is an arithmetic number, because the mean of its divisors is an integer number (11522631645).

Almost surely, 2342334414014 is an apocalyptic number.

342334414014 is an abundant number, since it is smaller than the sum of its proper divisors (395114011266).

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

342334414014 is a wasteful number, since it uses less digits than its factorization.

342334414014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786797.

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 342334414014 its reverse (410414433243), we get a palindrome (752748847257).

The spelling of 342334414014 in words is "three hundred forty-two billion, three hundred thirty-four million, four hundred fourteen thousand, fourteen".

Divisors: 1 2 3 6 29 41 58 61 82 87 122 123 174 183 246 366 1189 1769 2378 2501 3538 3567 5002 5307 7134 7503 10614 15006 72529 145058 217587 435174 786661 1573322 2359983 4719966 22813169 32253101 45626338 47986321 64506202 68439507 95972642 96759303 136879014 143958963 193518606 287917926 935339929 1391603309 1870679858 1967439161 2783206618 2806019787 3934878322 4174809927 5612039574 5902317483 8349619854 11804634966 57055735669 114111471338 171167207007 342334414014