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34228460727 = 3219613281417
BaseRepresentation
bin11111111000001011…
…001101110010110111
310021100102212222000200
4133320023031302313
51030044441220402
623420242411543
72321133054456
oct377013156267
9107312788020
1034228460727
111357508a17a
126773060bb3
1332c6427276
141929c6cb9d
15d54e7b21c
hex7f82cdcb7

34228460727 has 24 divisors (see below), whose sum is σ = 52896458160. Its totient is φ = 21263575680.

The previous prime is 34228460701. The next prime is 34228460771. The reversal of 34228460727 is 72706482243.

34228460727 is a `hidden beast` number, since 34 + 2 + 2 + 8 + 4 + 607 + 2 + 7 = 666.

It is not a de Polignac number, because 34228460727 - 211 = 34228458679 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34228460327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1630278 + ... + 1651139.

It is an arithmetic number, because the mean of its divisors is an integer number (2204019090).

Almost surely, 234228460727 is an apocalyptic number.

34228460727 is a deficient number, since it is larger than the sum of its proper divisors (18667997433).

34228460727 is a wasteful number, since it uses less digits than its factorization.

34228460727 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3281503 (or 3281500 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 34228460727 in words is "thirty-four billion, two hundred twenty-eight million, four hundred sixty thousand, seven hundred twenty-seven".

Divisors: 1 3 9 19 57 61 171 183 549 1159 3477 10431 3281417 9844251 29532753 62346923 187040769 200166437 561122307 600499311 1801497933 3803162303 11409486909 34228460727