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34345616046 = 2376113405783
BaseRepresentation
bin11111111111001010…
…001000001010101110
310021122121100001220120
4133333022020022232
51030314434203141
623440025425410
72324054630250
oct377712101256
9107577301816
1034345616046
1113625228755
1267a633b266
133314796441
14193b647cd0
15d603bdc66
hex7ff2882ae

34345616046 has 32 divisors (see below), whose sum is σ = 79791226368. Its totient is φ = 9652163040.

The previous prime is 34345616033. The next prime is 34345616047. The reversal of 34345616046 is 64061654343.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 34345615989 and 34345616007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34345616047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6700330 + ... + 6705453.

It is an arithmetic number, because the mean of its divisors is an integer number (2493475824).

Almost surely, 234345616046 is an apocalyptic number.

34345616046 is an abundant number, since it is smaller than the sum of its proper divisors (45445610322).

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

34345616046 is a wasteful number, since it uses less digits than its factorization.

34345616046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13405856.

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 34345616046 in words is "thirty-four billion, three hundred forty-five million, six hundred sixteen thousand, forty-six".

Divisors: 1 2 3 6 7 14 21 42 61 122 183 366 427 854 1281 2562 13405783 26811566 40217349 80434698 93840481 187680962 281521443 563042886 817752763 1635505526 2453258289 4906516578 5724269341 11448538682 17172808023 34345616046