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345493125 = 3254173613
BaseRepresentation
bin10100100101111…
…100111010000101
3220002002212110200
4110211330322011
51201421240000
654141041113
711363433405
oct2445747205
9802085420
10345493125
1116802710a
1297856199
1356768a03
1433c56805
15204e8500
hex1497ce85

345493125 has 60 divisors (see below), whose sum is σ = 660472956. Its totient is φ = 173376000.

The previous prime is 345493117. The next prime is 345493133. The reversal of 345493125 is 521394543.

345493125 is a `hidden beast` number, since 3 + 45 + 493 + 125 = 666.

It is an interprime number because it is at equal distance from previous prime (345493117) and next prime (345493133).

It can be written as a sum of positive squares in 10 ways, for example, as 321198084 + 24295041 = 17922^2 + 4929^2 .

It is not a de Polignac number, because 345493125 - 23 = 345493117 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 345493125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 93819 + ... + 97431.

Almost surely, 2345493125 is an apocalyptic number.

It is an amenable number.

345493125 is a deficient number, since it is larger than the sum of its proper divisors (314979831).

345493125 is a wasteful number, since it uses less digits than its factorization.

345493125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3656 (or 3638 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 345493125 is about 18587.4453597045. The cubic root of 345493125 is about 701.6919107325.

The spelling of 345493125 in words is "three hundred forty-five million, four hundred ninety-three thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 45 51 75 85 125 153 225 255 375 425 625 765 1125 1275 1875 2125 3613 3825 5625 6375 10625 10839 18065 19125 31875 32517 54195 61421 90325 95625 162585 184263 270975 307105 451625 552789 812925 921315 1354875 1535525 2258125 2763945 4064625 4606575 6774375 7677625 13819725 20323125 23032875 38388125 69098625 115164375 345493125