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345100413132 = 223251797185071
BaseRepresentation
bin1010000010110011001…
…01100110100011001100
31012222202122022101201200
411001121211212203030
521123231201210012
6422311551305500
733634624053306
oct5013145464314
91188678271650
10345100413132
111233a1206202
1256a7151b290
13267097995b7
14129bac6c976
158e9bd343dc
hex50599668cc

345100413132 has 36 divisors (see below), whose sum is σ = 872358710496. Its totient is φ = 115030628640.

The previous prime is 345100413113. The next prime is 345100413139. The reversal of 345100413132 is 231314001543.

It is a happy number.

345100413132 is a `hidden beast` number, since 3 + 4 + 510 + 0 + 4 + 13 + 132 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 345100413096 and 345100413105.

It is not an unprimeable number, because it can be changed into a prime (345100413139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1772157 + ... + 1957227.

Almost surely, 2345100413132 is an apocalyptic number.

It is an amenable number.

345100413132 is an abundant number, since it is smaller than the sum of its proper divisors (527258297364).

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

345100413132 is a wasteful number, since it uses less digits than its factorization.

345100413132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236878 (or 236873 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 345100413132 its reverse (231314001543), we get a palindrome (576414414675).

The spelling of 345100413132 in words is "three hundred forty-five billion, one hundred million, four hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 51797 103594 155391 185071 207188 310782 370142 466173 555213 621564 740284 932346 1110426 1665639 1864692 2220852 3331278 6662556 9586122587 19172245174 28758367761 38344490348 57516735522 86275103283 115033471044 172550206566 345100413132