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34044320 = 255212777
BaseRepresentation
bin1000000111011…
…1100110100000
32101001122000202
42001313212200
532203404240
63213404332
7562241402
oct201674640
971048022
1034044320
1118243002
12b4996a8
13708ca8b
144742b72
152ec7315
hex20779a0

34044320 has 24 divisors (see below), whose sum is σ = 80430084. Its totient is φ = 13617664.

The previous prime is 34044317. The next prime is 34044331. The reversal of 34044320 is 2344043.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 31315216 + 2729104 = 5596^2 + 1652^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 34044292 and 34044301.

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 3 ways as a sum of consecutive naturals, for example, 106229 + ... + 106548.

Almost surely, 234044320 is an apocalyptic number.

It is an amenable number.

34044320 is an abundant number, since it is smaller than the sum of its proper divisors (46385764).

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

34044320 is a wasteful number, since it uses less digits than its factorization.

34044320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212792 (or 212784 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 34044320 is about 5834.7510658125. The cubic root of 34044320 is about 324.1018833174.

Adding to 34044320 its reverse (2344043), we get a palindrome (36388363).

The spelling of 34044320 in words is "thirty-four million, forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 212777 425554 851108 1063885 1702216 2127770 3404432 4255540 6808864 8511080 17022160 34044320