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345412393305 = 3573892184521
BaseRepresentation
bin1010000011011000010…
…11101101100101011001
31020000120101100122001220
411001230023231211121
521124401033041210
6422402534202253
733645432620430
oct5015413554531
91200511318056
10345412393305
11123541322561
1256b39ab3389
1326759300355
1412a0a480117
158eb940cc70
hex506c2ed959

345412393305 has 32 divisors (see below), whose sum is σ = 631634934528. Its totient is φ = 157896883200.

The previous prime is 345412393301. The next prime is 345412393409. The reversal of 345412393305 is 503393214543.

It is not a de Polignac number, because 345412393305 - 22 = 345412393301 is a prime.

It is not an unprimeable number, because it can be changed into a prime (345412393301) 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, 4044445 + ... + 4128965.

It is an arithmetic number, because the mean of its divisors is an integer number (19738591704).

Almost surely, 2345412393305 is an apocalyptic number.

345412393305 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

345412393305 is a deficient number, since it is larger than the sum of its proper divisors (286222541223).

345412393305 is a wasteful number, since it uses less digits than its factorization.

345412393305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123457.

The product of its (nonzero) digits is 583200, while the sum is 42.

The spelling of 345412393305 in words is "three hundred forty-five billion, four hundred twelve million, three hundred ninety-three thousand, three hundred five".

Divisors: 1 3 5 7 15 21 35 105 38921 84521 116763 194605 253563 272447 422605 583815 591647 817341 1267815 1362235 1774941 2958235 4086705 8874705 3289641841 9868925523 16448209205 23027492887 49344627615 69082478661 115137464435 345412393305