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6345723345 = 3513231817817
BaseRepresentation
bin1011110100011110…
…00000110111010001
3121101020121010221120
411322033000313101
5100444001121340
62525402512453
7313152521103
oct57217006721
917336533846
106345723345
112766aa4965
121291205729
137a18b54b0
14442ac5573
152721794d0
hex17a3c0dd1

6345723345 has 64 divisors (see below), whose sum is σ = 11474072064. Its totient is φ = 2971330560.

The previous prime is 6345723277. The next prime is 6345723353. The reversal of 6345723345 is 5433275436.

It is not a de Polignac number, because 6345723345 - 29 = 6345722833 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 6345723297 and 6345723306.

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 63 ways as a sum of consecutive naturals, for example, 807877 + ... + 815693.

It is an arithmetic number, because the mean of its divisors is an integer number (179282376).

Almost surely, 26345723345 is an apocalyptic number.

6345723345 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

6345723345 is a deficient number, since it is larger than the sum of its proper divisors (5128348719).

6345723345 is a wasteful number, since it uses less digits than its factorization.

6345723345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8042.

The product of its digits is 907200, while the sum is 42.

The square root of 6345723345 is about 79660.0486128398. The cubic root of 6345723345 is about 1851.3720860847.

The spelling of 6345723345 in words is "six billion, three hundred forty-five million, seven hundred twenty-three thousand, three hundred forty-five".

Divisors: 1 3 5 13 15 23 39 65 69 115 181 195 299 345 543 897 905 1495 2353 2715 4163 4485 7059 7817 11765 12489 20815 23451 35295 39085 54119 62445 101621 117255 162357 179791 270595 304863 508105 539373 811785 898955 1414877 1524315 2337283 2696865 4244631 7011849 7074385 11686415 18393401 21223155 32542171 35059245 55180203 91967005 97626513 162710855 275901015 423048223 488132565 1269144669 2115241115 6345723345