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345105500410 = 251119337489977
BaseRepresentation
bin1010000010110011110…
…01000000100011111010
31012222202222212212011101
411001121321000203322
521123234002003120
6422312252322014
733635015232106
oct5013171004372
91188688785141
10345105500410
111233a4070370
1256a7317330a
132670a85b018
14129bb7d4906
158e9c4db90a
hex5059e408fa

345105500410 has 64 divisors (see below), whose sum is σ = 715446276480. Its totient is φ = 118534993920.

The previous prime is 345105500381. The next prime is 345105500479. The reversal of 345105500410 is 14005501543.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 459342 + ... + 949318.

It is an arithmetic number, because the mean of its divisors is an integer number (11178848070).

Almost surely, 2345105500410 is an apocalyptic number.

345105500410 is an abundant number, since it is smaller than the sum of its proper divisors (370340776070).

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

345105500410 is a wasteful number, since it uses less digits than its factorization.

345105500410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490351.

The product of its (nonzero) digits is 6000, while the sum is 28.

The spelling of 345105500410 in words is "three hundred forty-five billion, one hundred five million, five hundred thousand, four hundred ten".

Divisors: 1 2 5 10 11 19 22 38 55 95 110 190 209 337 418 674 1045 1685 2090 3370 3707 6403 7414 12806 18535 32015 37070 64030 70433 140866 352165 489977 704330 979954 2449885 4899770 5389747 9309563 10779494 18619126 26948735 46547815 53897470 93095630 102405193 165122249 204810386 330244498 512025965 825611245 1024051930 1651222490 1816344739 3137322731 3632689478 6274645462 9081723695 15686613655 18163447390 31373227310 34510550041 69021100082 172552750205 345105500410