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34129280 = 27553327
BaseRepresentation
bin1000001000110…
…0010110000000
32101012221120102
42002030112000
532214114110
63215301532
7563044163
oct202142600
971187512
1034129280
11182a0919
12b51a8a8
1370bc653
144765ada
152ee25a5
hex208c580

34129280 has 32 divisors (see below), whose sum is σ = 81591840. Its totient is φ = 13651456.

The previous prime is 34129279. The next prime is 34129327. The reversal of 34129280 is 8292143.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26024 + ... + 27303.

It is an arithmetic number, because the mean of its divisors is an integer number (2549745).

Almost surely, 234129280 is an apocalyptic number.

It is an amenable number.

34129280 is an abundant number, since it is smaller than the sum of its proper divisors (47462560).

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

34129280 is an equidigital number, since it uses as much as digits as its factorization.

34129280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53346 (or 53334 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 34129280 is about 5842.0270454697. The cubic root of 34129280 is about 324.3712657181.

The spelling of 34129280 in words is "thirty-four million, one hundred twenty-nine thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 53327 106654 213308 266635 426616 533270 853232 1066540 1706464 2133080 3412928 4266160 6825856 8532320 17064640 34129280