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34000425 = 3352172963
BaseRepresentation
bin1000000110110…
…0111000101001
32100222101211000
42001230320221
532201003200
63212425213
7561666414
oct201547051
970871730
1034000425
1118213028
12b478209
137075ac4
144730b7b
152eb9300
hex206ce29

34000425 has 48 divisors (see below), whose sum is σ = 66156480. Its totient is φ = 17061120.

The previous prime is 34000399. The next prime is 34000453. The reversal of 34000425 is 52400043.

34000425 = 8002 + 8012 + ... + 8492.

It is a happy number.

It is not a de Polignac number, because 34000425 - 26 = 34000361 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34000398 and 34000407.

It is an unprimeable number.

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, 9994 + ... + 12956.

It is an arithmetic number, because the mean of its divisors is an integer number (1378260).

Almost surely, 234000425 is an apocalyptic number.

It is an amenable number.

34000425 is a deficient number, since it is larger than the sum of its proper divisors (32156055).

34000425 is a wasteful number, since it uses less digits than its factorization.

34000425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2999 (or 2988 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 34000425 is about 5830.9883381808. The cubic root of 34000425 is about 323.9625299604.

Adding to 34000425 its reverse (52400043), we get a palindrome (86400468).

The spelling of 34000425 in words is "thirty-four million, four hundred twenty-five", and thus it is an aban number.

Divisors: 1 3 5 9 15 17 25 27 45 51 75 85 135 153 225 255 425 459 675 765 1275 2295 2963 3825 8889 11475 14815 26667 44445 50371 74075 80001 133335 151113 222225 251855 400005 453339 666675 755565 1259275 1360017 2000025 2266695 3777825 6800085 11333475 34000425