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34834104027 = 343744326237
BaseRepresentation
bin100000011100010001…
…100011111011011011
310022220122111211110000
4200130101203323123
51032320012312102
624000315424043
72342135666412
oct403421437333
9108818454400
1034834104027
1113855a41a28
126901a55023
133391a4a698
141986484479
15d8d21101c
hex81c463edb

34834104027 has 40 divisors (see below), whose sum is σ = 53565191856. Its totient is φ = 22543230528.

The previous prime is 34834103999. The next prime is 34834104047. The reversal of 34834104027 is 72040143843.

34834104027 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34834104027 - 224 = 34817326811 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34834103982 and 34834104000.

It is not an unprimeable number, because it can be changed into a prime (34834104047) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1314553 + ... + 1340789.

Almost surely, 234834104027 is an apocalyptic number.

34834104027 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

34834104027 is a deficient number, since it is larger than the sum of its proper divisors (18731087829).

34834104027 is a wasteful number, since it uses less digits than its factorization.

34834104027 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26729 (or 26720 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 34834104027 in words is "thirty-four billion, eight hundred thirty-four million, one hundred four thousand, twenty-seven".

Divisors: 1 3 9 27 37 81 111 333 443 999 1329 2997 3987 11961 16391 26237 35883 49173 78711 147519 236133 442557 708399 970769 1327671 2125197 2912307 8736921 11622991 26210763 34868973 78632289 104606919 313820757 430050667 941462271 1290152001 3870456003 11611368009 34834104027