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343734945552 = 243221371117009
BaseRepresentation
bin1010000000010000011…
…00110000011100010000
31012212020110221110100100
411000020030300130100
521112432121224202
6421524252452400
733556033554255
oct5001014603420
91185213843310
10343734945552
111228604631a9
125675017a100
132654c91bb0b
14128cb78942c
158e1c01141c
hex5008330710

343734945552 has 60 divisors (see below), whose sum is σ = 962431454140. Its totient is φ = 114524596224.

The previous prime is 343734945539. The next prime is 343734945629. The reversal of 343734945552 is 255549437343.

343734945552 is a `hidden beast` number, since 3 + 4 + 3 + 7 + 3 + 49 + 45 + 552 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 75891434256 + 267843511296 = 275484^2 + 517536^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 250777 + ... + 866232.

Almost surely, 2343734945552 is an apocalyptic number.

It is an amenable number.

343734945552 is an abundant number, since it is smaller than the sum of its proper divisors (618696508588).

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

343734945552 is a wasteful number, since it uses less digits than its factorization.

343734945552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119160 (or 1119151 counting only the distinct ones).

The product of its digits is 27216000, while the sum is 54.

The spelling of 343734945552 in words is "three hundred forty-three billion, seven hundred thirty-four million, nine hundred forty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2137 4274 6411 8548 12822 17096 19233 25644 34192 38466 51288 76932 102576 153864 307728 1117009 2234018 3351027 4468036 6702054 8936072 10053081 13404108 17872144 20106162 26808216 40212324 53616432 80424648 160849296 2387048233 4774096466 7161144699 9548192932 14322289398 19096385864 21483434097 28644578796 38192771728 42966868194 57289157592 85933736388 114578315184 171867472776 343734945552