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434413125 = 34548581
BaseRepresentation
bin11001111001001…
…001111001000101
31010021102110210000
4121321021321011
51342202210000
6111034551513
713523310366
oct3171117105
91107373700
10434413125
11203240013
12101598599
136c0001b3
14419a1b6d
1528210000
hex19e49e45

434413125 has 50 divisors (see below), whose sum is σ = 811007582. Its totient is φ = 231660000.

The previous prime is 434413103. The next prime is 434413139. The reversal of 434413125 is 521314434.

It is a happy number.

434413125 is a `hidden beast` number, since 4 + 344 + 1 + 312 + 5 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 331167204 + 103245921 = 18198^2 + 10161^2 .

It is not a de Polignac number, because 434413125 - 27 = 434412997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 46335 + ... + 54915.

Almost surely, 2434413125 is an apocalyptic number.

434413125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

434413125 is a deficient number, since it is larger than the sum of its proper divisors (376594457).

434413125 is an frugal number, since it uses more digits than its factorization.

434413125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8613 (or 8589 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 434413125 is about 20842.5796148174. The cubic root of 434413125 is about 757.3575852256.

Adding to 434413125 its reverse (521314434), we get a palindrome (955727559).

The spelling of 434413125 in words is "four hundred thirty-four million, four hundred thirteen thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 125 135 225 375 405 625 675 1125 1875 2025 3375 5625 8581 10125 16875 25743 42905 50625 77229 128715 214525 231687 386145 643575 695061 1072625 1158435 1930725 3217875 3475305 5363125 5792175 9653625 16089375 17376525 28960875 48268125 86882625 144804375 434413125