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4348095705 = 32596624349
BaseRepresentation
bin1000000110010101…
…01010110011011001
3102020000201010222200
410003022222303121
532401103030310
61555242440413
7212515126602
oct40312526331
912200633880
104348095705
111931428728
12a14203109
13543a8bbc5
142d3686da9
151a6ad49c0
hex1032aacd9

4348095705 has 12 divisors (see below), whose sum is σ = 7536699300. Its totient is φ = 2318984352.

The previous prime is 4348095671. The next prime is 4348095721. The reversal of 4348095705 is 5075908434.

It can be written as a sum of positive squares in 2 ways, for example, as 2216149776 + 2131945929 = 47076^2 + 46173^2 .

It is not a de Polignac number, because 4348095705 - 215 = 4348062937 is a prime.

It is a super-4 number, since 4×43480957054 (a number of 40 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 96624349 = 4348095705 / (4 + 3 + 4 + 8 + 0 + 9 + 5 + 7 + 0 + 5).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48312130 + ... + 48312219.

It is an arithmetic number, because the mean of its divisors is an integer number (628058275).

Almost surely, 24348095705 is an apocalyptic number.

4348095705 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4348095705 is a deficient number, since it is larger than the sum of its proper divisors (3188603595).

4348095705 is a wasteful number, since it uses less digits than its factorization.

4348095705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96624360 (or 96624357 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 4348095705 is about 65940.0917879252. The cubic root of 4348095705 is about 1632.1736598382.

The spelling of 4348095705 in words is "four billion, three hundred forty-eight million, ninety-five thousand, seven hundred five".

Divisors: 1 3 5 9 15 45 96624349 289873047 483121745 869619141 1449365235 4348095705