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34108320 = 253571059
BaseRepresentation
bin1000001000011…
…1001110100000
32101011212211010
42002013032200
532212431240
63215020520
7562626111
oct202071640
971155733
1034108320
11182870a4
12b50a740
1370b2c4c
14475c208
152edb280
hex20873a0

34108320 has 48 divisors (see below), whose sum is σ = 107442720. Its totient is φ = 9095424.

The previous prime is 34108289. The next prime is 34108343. The reversal of 34108320 is 2380143.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35050 + ... + 36009.

It is an arithmetic number, because the mean of its divisors is an integer number (2238390).

Almost surely, 234108320 is an apocalyptic number.

34108320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34108320 is an abundant number, since it is smaller than the sum of its proper divisors (73334400).

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

34108320 is a wasteful number, since it uses less digits than its factorization.

34108320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71077 (or 71069 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 34108320 is about 5840.2328720694. The cubic root of 34108320 is about 324.3048494913.

Adding to 34108320 its reverse (2380143), we get a palindrome (36488463).

The spelling of 34108320 in words is "thirty-four million, one hundred eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 71059 142118 213177 284236 355295 426354 568472 710590 852708 1065885 1136944 1421180 1705416 2131770 2273888 2842360 3410832 4263540 5684720 6821664 8527080 11369440 17054160 34108320