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345329482041 = 32314397296749
BaseRepresentation
bin1010000011001110011…
…11011011100100111001
31020000100121100022012100
411001213033123210321
521124213321411131
6422350413134013
733643405110555
oct5014717334471
91200317308170
10345329482041
111234a9543055
1256b1618a309
1326745090b2b
14129dd45a865
158eb1ed17e6
hex50673db939

345329482041 has 48 divisors (see below), whose sum is σ = 532307776000. Its totient is φ = 215367828480.

The previous prime is 345329482039. The next prime is 345329482067. The reversal of 345329482041 is 140284923543.

345329482041 is a `hidden beast` number, since 3 + 4 + 532 + 94 + 8 + 20 + 4 + 1 = 666.

It is not a de Polignac number, because 345329482041 - 21 = 345329482039 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (345329482241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1015335 + ... + 1312083.

Almost surely, 2345329482041 is an apocalyptic number.

345329482041 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

345329482041 is a deficient number, since it is larger than the sum of its proper divisors (186978293959).

345329482041 is a wasteful number, since it uses less digits than its factorization.

345329482041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296926 (or 296923 counting only the distinct ones).

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

The spelling of 345329482041 in words is "three hundred forty-five billion, three hundred twenty-nine million, four hundred eighty-two thousand, forty-one".

Divisors: 1 3 9 31 43 93 97 129 279 291 387 873 1333 3007 3999 4171 9021 11997 12513 27063 37539 129301 296749 387903 890247 1163709 2670741 9199219 12760207 27597657 28784653 38280621 82792971 86353959 114841863 259061877 395566417 892324243 1186699251 1237740079 2676972729 3560097753 3713220237 8030918187 11139660711 38369942449 115109827347 345329482041