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345269268 = 223273131381
BaseRepresentation
bin10100100101000…
…110010000010100
3220001200111101200
4110211012100110
51201342104033
654132152500
711361511641
oct2445062024
9801614350
10345269268
11167993a03
1297768730
13566bab56
1433bd8dc8
15204a2013
hex14946414

345269268 has 36 divisors (see below), whose sum is σ = 884726388. Its totient is φ = 113512320.

The previous prime is 345269213. The next prime is 345269297. The reversal of 345269268 is 862962543.

345269268 is a `hidden beast` number, since 34 + 526 + 92 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 266734224 + 78535044 = 16332^2 + 8862^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent 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, 63063 + ... + 68318.

It is an arithmetic number, because the mean of its divisors is an integer number (24575733).

Almost surely, 2345269268 is an apocalyptic number.

It is an amenable number.

345269268 is an abundant number, since it is smaller than the sum of its proper divisors (539457120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

345269268 is a wasteful number, since it uses less digits than its factorization.

345269268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131464 (or 131459 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 345269268 is about 18581.4226581282. The cubic root of 345269268 is about 701.5403277993.

The spelling of 345269268 in words is "three hundred forty-five million, two hundred sixty-nine thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 1314 2628 131381 262762 394143 525524 788286 1182429 1576572 2364858 4729716 9590813 19181626 28772439 38363252 57544878 86317317 115089756 172634634 345269268