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345041323600 = 24521974378697
BaseRepresentation
bin1010000010101100001…
…00001100011001010000
31012222121112010100010111
411001112010030121100
521123121034323400
6422302041011104
733633305600521
oct5012604143120
91188545110114
10345041323600
11123370917386
1256a55783a94
13266ca47ab8c
14129b308a848
158e96a613ba
hex505610c650

345041323600 has 60 divisors (see below), whose sum is σ = 833169898044. Its totient is φ = 137315906560.

The previous prime is 345041323573. The next prime is 345041323607. The reversal of 345041323600 is 6323140543.

It can be written as a sum of positive squares in 6 ways, for example, as 5772352576 + 339268971024 = 75976^2 + 582468^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345041323607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2110549 + ... + 2268148.

Almost surely, 2345041323600 is an apocalyptic number.

It is an amenable number.

345041323600 is an abundant number, since it is smaller than the sum of its proper divisors (488128574444).

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

345041323600 is a wasteful number, since it uses less digits than its factorization.

345041323600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4378912 (or 4378901 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 31.

The spelling of 345041323600 in words is "three hundred forty-five billion, forty-one million, three hundred twenty-three thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 197 200 394 400 788 985 1576 1970 3152 3940 4925 7880 9850 15760 19700 39400 78800 4378697 8757394 17514788 21893485 35029576 43786970 70059152 87573940 109467425 175147880 218934850 350295760 437869700 862603309 875739400 1725206618 1751478800 3450413236 4313016545 6900826472 8626033090 13801652944 17252066180 21565082725 34504132360 43130165450 69008264720 86260330900 172520661800 345041323600