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345579849 = 3261762233
BaseRepresentation
bin10100100110010…
…010000101001001
3220002021021102200
4110212102011021
51201432023344
654142550413
711364244266
oct2446220511
9802237380
10345579849
1116808628a
1297898409
1356799324
1433c7a26d
1520514069
hex14992149

345579849 has 12 divisors (see below), whose sum is σ = 499987956. Its totient is φ = 230009472.

The previous prime is 345579803. The next prime is 345579851. The reversal of 345579849 is 948975543.

345579849 is a `hidden beast` number, since 3 + 4 + 557 + 9 + 84 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 164865600 + 180714249 = 12840^2 + 13443^2 .

It is not a de Polignac number, because 345579849 - 29 = 345579337 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 345579795 and 345579804.

It is not an unprimeable number, because it can be changed into a prime (345579869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25564 + ... + 36669.

It is an arithmetic number, because the mean of its divisors is an integer number (41665663).

Almost surely, 2345579849 is an apocalyptic number.

It is an amenable number.

345579849 is a deficient number, since it is larger than the sum of its proper divisors (154408107).

345579849 is a wasteful number, since it uses less digits than its factorization.

345579849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62856 (or 62853 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The square root of 345579849 is about 18589.7780782881. The cubic root of 345579849 is about 701.7506175816.

The spelling of 345579849 in words is "three hundred forty-five million, five hundred seventy-nine thousand, eight hundred forty-nine".

Divisors: 1 3 9 617 1851 5553 62233 186699 560097 38397761 115193283 345579849