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34939125 = 3253132389
BaseRepresentation
bin1000010101001…
…0000011110101
32102202002110200
42011102003311
532421023000
63244511113
7602656224
oct205220365
972662420
1034939125
11187a4311
12b84b499
137314150
1448d6cbb
153102500
hex21520f5

34939125 has 48 divisors (see below), whose sum is σ = 67856880. Its totient is φ = 17193600.

The previous prime is 34939123. The next prime is 34939133. The reversal of 34939125 is 52193943.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 22953681 + 11985444 = 4791^2 + 3462^2 .

It is not a de Polignac number, because 34939125 - 21 = 34939123 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 34939125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34939123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13431 + ... + 15819.

It is an arithmetic number, because the mean of its divisors is an integer number (1413685).

Almost surely, 234939125 is an apocalyptic number.

It is an amenable number.

34939125 is a deficient number, since it is larger than the sum of its proper divisors (32917755).

34939125 is a wasteful number, since it uses less digits than its factorization.

34939125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2423 (or 2410 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 34939125 is about 5910.9326675238. The cubic root of 34939125 is about 326.9168770007.

The spelling of 34939125 in words is "thirty-four million, nine hundred thirty-nine thousand, one hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 125 195 225 325 375 585 975 1125 1625 2389 2925 4875 7167 11945 14625 21501 31057 35835 59725 93171 107505 155285 179175 279513 298625 465855 537525 776425 895875 1397565 2329275 2687625 3882125 6987825 11646375 34939125