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345957849 = 32291325509
BaseRepresentation
bin10100100111101…
…110010111011001
3220002222110221200
4110213232113121
51202031122344
654155024413
711400410316
oct2447562731
9802873850
10345957849
11168314286
1297a3b109
135689c3b3
1433d37d0d
152058b069
hex149ee5d9

345957849 has 12 divisors (see below), whose sum is σ = 516948900. Its totient is φ = 222685344.

The previous prime is 345957793. The next prime is 345957851. The reversal of 345957849 is 948759543.

345957849 is a `hidden beast` number, since 3 + 4 + 595 + 7 + 8 + 49 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 212139225 + 133818624 = 14565^2 + 11568^2 .

It is not a de Polignac number, because 345957849 - 27 = 345957721 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 345957795 and 345957804.

It is not an unprimeable number, because it can be changed into a prime (345957949) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 662494 + ... + 663015.

It is an arithmetic number, because the mean of its divisors is an integer number (43079075).

Almost surely, 2345957849 is an apocalyptic number.

It is an amenable number.

345957849 is a deficient number, since it is larger than the sum of its proper divisors (170991051).

345957849 is a wasteful number, since it uses less digits than its factorization.

345957849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325544 (or 1325541 counting only the distinct ones).

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

The square root of 345957849 is about 18599.9421773295. The cubic root of 345957849 is about 702.0063858479.

The spelling of 345957849 in words is "three hundred forty-five million, nine hundred fifty-seven thousand, eight hundred forty-nine".

Divisors: 1 3 9 29 87 261 1325509 3976527 11929581 38439761 115319283 345957849