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345446456445 = 32579101962099
BaseRepresentation
bin1010000011011100011…
…01101001110001111101
31020000122202110012220200
411001232031221301331
521124433243101240
6422410152234113
733646325301036
oct5015615516175
91200582405820
10345446456445
11123559578712
1256b4939b939
132676339885c
1412a10bc9a8d
158ebc3da930
hex506e369c7d

345446456445 has 48 divisors (see below), whose sum is σ = 612357408000. Its totient is φ = 180104745600.

The previous prime is 345446456441. The next prime is 345446456491. The reversal of 345446456445 is 544654644543.

345446456445 is a `hidden beast` number, since 3 + 4 + 544 + 6 + 4 + 56 + 4 + 45 = 666.

It is not a de Polignac number, because 345446456445 - 22 = 345446456441 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 345446456391 and 345446456400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345446456441) 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, 121995 + ... + 840104.

It is an arithmetic number, because the mean of its divisors is an integer number (12757446000).

Almost surely, 2345446456445 is an apocalyptic number.

It is an amenable number.

345446456445 is a deficient number, since it is larger than the sum of its proper divisors (266910951555).

345446456445 is a wasteful number, since it uses less digits than its factorization.

345446456445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962290 (or 962287 counting only the distinct ones).

The product of its digits is 55296000, while the sum is 54.

The spelling of 345446456445 in words is "three hundred forty-five billion, four hundred forty-six million, four hundred fifty-six thousand, four hundred forty-five".

Divisors: 1 3 5 9 15 45 79 101 237 303 395 505 711 909 1185 1515 3555 4545 7979 23937 39895 71811 119685 359055 962099 2886297 4810495 8658891 14431485 43294455 76005821 97171999 228017463 291515997 380029105 485859995 684052389 874547991 1140087315 1457579985 3420261945 4372739955 7676587921 23029763763 38382939605 69089291289 115148818815 345446456445