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34432125 = 3537131009
BaseRepresentation
bin1000001101011…
…0010001111101
32101210022222220
42003112101331
532303312000
63225555553
7565445130
oct203262175
971708886
1034432125
1118488402
12b645bb9
137197450
144804217
1530521a0
hex20d647d

34432125 has 64 divisors (see below), whose sum is σ = 70586880. Its totient is φ = 14515200.

The previous prime is 34432109. The next prime is 34432133. The reversal of 34432125 is 52123443.

34432125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34432125 - 24 = 34432109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34432095 and 34432104.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 33621 + ... + 34629.

It is an arithmetic number, because the mean of its divisors is an integer number (1102920).

Almost surely, 234432125 is an apocalyptic number.

34432125 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34432125 is an abundant number, since it is smaller than the sum of its proper divisors (36154755).

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

34432125 is a wasteful number, since it uses less digits than its factorization.

34432125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047 (or 1037 counting only the distinct ones).

The product of its digits is 2880, while the sum is 24.

The square root of 34432125 is about 5867.8893138845. The cubic root of 34432125 is about 325.3278742431.

Adding to 34432125 its reverse (52123443), we get a palindrome (86555568).

The spelling of 34432125 in words is "thirty-four million, four hundred thirty-two thousand, one hundred twenty-five".

Divisors: 1 3 5 7 13 15 21 25 35 39 65 75 91 105 125 175 195 273 325 375 455 525 875 975 1009 1365 1625 2275 2625 3027 4875 5045 6825 7063 11375 13117 15135 21189 25225 34125 35315 39351 65585 75675 91819 105945 126125 176575 196755 275457 327925 378375 459095 529725 882875 983775 1377285 1639625 2295475 2648625 4918875 6886425 11477375 34432125