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34112028 = 22331107857
BaseRepresentation
bin1000001000100…
…0001000011100
32101012001220110
42002020020130
532213041103
63215050020
7562642656
oct202101034
971161813
1034112028
1118289965
12b510910
1370b4842
14475d6d6
152edc403
hex208821c

34112028 has 48 divisors (see below), whose sum is σ = 83026944. Its totient is φ = 10888320.

The previous prime is 34111991. The next prime is 34112051. The reversal of 34112028 is 82021143.

It is a junction number, because it is equal to n+sod(n) for n = 34111995 and 34112013.

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 15 ways as a sum of consecutive naturals, for example, 39376 + ... + 40232.

It is an arithmetic number, because the mean of its divisors is an integer number (1729728).

Almost surely, 234112028 is an apocalyptic number.

It is an amenable number.

34112028 is an abundant number, since it is smaller than the sum of its proper divisors (48914916).

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

34112028 is a wasteful number, since it uses less digits than its factorization.

34112028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 34112028 is about 5840.5503165370. The cubic root of 34112028 is about 324.3166010601.

The spelling of 34112028 in words is "thirty-four million, one hundred twelve thousand, twenty-eight".

Divisors: 1 2 3 4 6 12 31 62 93 107 124 186 214 321 372 428 642 857 1284 1714 2571 3317 3428 5142 6634 9951 10284 13268 19902 26567 39804 53134 79701 91699 106268 159402 183398 275097 318804 366796 550194 1100388 2842669 5685338 8528007 11370676 17056014 34112028