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345265128 = 233213368873
BaseRepresentation
bin10100100101000…
…101001111101000
3220001200021201100
4110211011033220
51201341441003
654132121400
711361463605
oct2445051750
9801607640
10345265128
1116799088a
1297766260
13566b8cc0
1433bd76ac
15204a0ba3
hex149453e8

345265128 has 48 divisors (see below), whose sum is σ = 1007026020. Its totient is φ = 106235136.

The previous prime is 345265127. The next prime is 345265147. The reversal of 345265128 is 821562543.

345265128 is a `hidden beast` number, since 3 + 4 + 526 + 5 + 128 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 313927524 + 31337604 = 17718^2 + 5598^2 .

It is a super-2 number, since 2×3452651282 = 238416017225712768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 345265092 and 345265101.

It is not an unprimeable number, because it can be changed into a prime (345265127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 183501 + ... + 185372.

Almost surely, 2345265128 is an apocalyptic number.

It is an amenable number.

345265128 is an abundant number, since it is smaller than the sum of its proper divisors (661760892).

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

345265128 is a wasteful number, since it uses less digits than its factorization.

345265128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368898 (or 368891 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 345265128 is about 18581.3112562058. The cubic root of 345265128 is about 701.5375238152.

The spelling of 345265128 in words is "three hundred forty-five million, two hundred sixty-five thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 368873 737746 1106619 1475492 2213238 2950984 3319857 4426476 4795349 6639714 8852952 9590698 13279428 14386047 19181396 26558856 28772094 38362792 43158141 57544188 86316282 115088376 172632564 345265128