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34856217 = 3311117361
BaseRepresentation
bin1000010011110…
…1110100011001
32102120212202000
42010331310121
532410344332
63243031213
7602162424
oct204756431
972525660
1034856217
1118747aa0
12b80b509
1372b54a6
1448b49bb
1530d7b7c
hex213dd19

34856217 has 16 divisors (see below), whose sum is σ = 56333760. Its totient is φ = 21124800.

The previous prime is 34856209. The next prime is 34856221. The reversal of 34856217 is 71265843.

34856217 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 34856217 - 23 = 34856209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34856267) 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 15 ways as a sum of consecutive naturals, for example, 58384 + ... + 58977.

It is an arithmetic number, because the mean of its divisors is an integer number (3520860).

Almost surely, 234856217 is an apocalyptic number.

It is an amenable number.

34856217 is a deficient number, since it is larger than the sum of its proper divisors (21477543).

34856217 is a wasteful number, since it uses less digits than its factorization.

34856217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117381 (or 117375 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 34856217 is about 5903.9153957353. The cubic root of 34856217 is about 326.6580888812.

It can be divided in two parts, 348 and 56217, that added together give a palindrome (56565).

The spelling of 34856217 in words is "thirty-four million, eight hundred fifty-six thousand, two hundred seventeen".

Divisors: 1 3 9 11 27 33 99 297 117361 352083 1056249 1290971 3168747 3872913 11618739 34856217