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344836541106 = 232172153523417
BaseRepresentation
bin1010000010010011101…
…11000000101010110010
31012222002020210022100200
411001021313000222302
521122211123303411
6422225443500030
733625241144151
oct5011167005262
91188066708320
10344836541106
11123276268252
12569b9087616
1326696c0aac5
1412993bc1598
158e83aaee56
hex5049dc0ab2

344836541106 has 48 divisors (see below), whose sum is σ = 791464545144. Its totient is φ = 108133558272.

The previous prime is 344836541081. The next prime is 344836541117. The reversal of 344836541106 is 601145638443.

344836541106 is a `hidden beast` number, since 3 + 4 + 483 + 6 + 54 + 110 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 313191333225 + 31645207881 = 559635^2 + 177891^2 .

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, 397110 + ... + 920526.

Almost surely, 2344836541106 is an apocalyptic number.

344836541106 is an abundant number, since it is smaller than the sum of its proper divisors (446628004038).

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

344836541106 is a wasteful number, since it uses less digits than its factorization.

344836541106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525595 (or 525592 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 344836541106 in words is "three hundred forty-four billion, eight hundred thirty-six million, five hundred forty-one thousand, one hundred six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 2153 4306 6459 12918 19377 36601 38754 73202 109803 219606 329409 523417 658818 1046834 1570251 3140502 4710753 8898089 9421506 17796178 26694267 53388534 80082801 160165602 1126916801 2253833602 3380750403 6761500806 10142251209 19157585617 20284502418 38315171234 57472756851 114945513702 172418270553 344836541106