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345106625745 = 35710301319069
BaseRepresentation
bin1010000010110011111…
…01010011010011010001
31012222210002000000211110
411001121331103103101
521123234244010440
6422312332403533
733635030630010
oct5013175232321
91188702000743
10345106625745
111233a47698a2
1256a736165a9
132670ab632bb
14129bba08a77
158e9c660080
hex5059f534d1

345106625745 has 32 divisors (see below), whose sum is σ = 631115354880. Its totient is φ = 157747219200.

The previous prime is 345106625701. The next prime is 345106625749. The reversal of 345106625745 is 547526601543.

It is not a de Polignac number, because 345106625745 - 26 = 345106625681 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 345106625694 and 345106625703.

It is not an unprimeable number, because it can be changed into a prime (345106625749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 922071 + ... + 1241139.

It is an arithmetic number, because the mean of its divisors is an integer number (19722354840).

Almost surely, 2345106625745 is an apocalyptic number.

345106625745 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

345106625745 is a deficient number, since it is larger than the sum of its proper divisors (286008729135).

345106625745 is a wasteful number, since it uses less digits than its factorization.

345106625745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329385.

The product of its (nonzero) digits is 3024000, while the sum is 48.

The spelling of 345106625745 in words is "three hundred forty-five billion, one hundred six million, six hundred twenty-five thousand, seven hundred forty-five".

Divisors: 1 3 5 7 15 21 35 105 10301 30903 51505 72107 154515 216321 319069 360535 957207 1081605 1595345 2233483 4786035 6700449 11167415 33502245 3286729769 9860189307 16433648845 23007108383 49300946535 69021325149 115035541915 345106625745