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34127820 = 22325189599
BaseRepresentation
bin1000001000101…
…1111111001100
32101012212120100
42002023333030
532214042240
63215251100
7563040006
oct202137714
971185510
1034127820
111829a811
12b519a90
1370bba9c
144765376
152ee1e30
hex208bfcc

34127820 has 36 divisors (see below), whose sum is σ = 103521600. Its totient is φ = 9100704.

The previous prime is 34127803. The next prime is 34127827. The reversal of 34127820 is 2872143.

34127820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34127827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94620 + ... + 94979.

It is an arithmetic number, because the mean of its divisors is an integer number (2875600).

Almost surely, 234127820 is an apocalyptic number.

34127820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34127820 is an abundant number, since it is smaller than the sum of its proper divisors (69393780).

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

34127820 is a wasteful number, since it uses less digits than its factorization.

34127820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189614 (or 189609 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 34127820 is about 5841.9020875054. The cubic root of 34127820 is about 324.3666402782.

Adding to 34127820 its reverse (2872143), we get a palindrome (36999963).

The spelling of 34127820 in words is "thirty-four million, one hundred twenty-seven thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 189599 379198 568797 758396 947995 1137594 1706391 1895990 2275188 2843985 3412782 3791980 5687970 6825564 8531955 11375940 17063910 34127820