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34856385 = 3523711423
BaseRepresentation
bin1000010011110…
…1110111000001
32102120212222020
42010331313001
532410401020
63243032053
7602163054
oct204756701
972525866
1034856385
1118748133
12b80b629
1372b55a5
1448b4a9b
1530d7c40
hex213ddc1

34856385 has 32 divisors (see below), whose sum is σ = 59056128. Its totient is φ = 17519040.

The previous prime is 34856377. The next prime is 34856389. The reversal of 34856385 is 58365843.

34856385 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 34856385 - 23 = 34856377 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34856389) 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 31 ways as a sum of consecutive naturals, for example, 23784 + ... + 25206.

It is an arithmetic number, because the mean of its divisors is an integer number (1845504).

Almost surely, 234856385 is an apocalyptic number.

It is an amenable number.

34856385 is a deficient number, since it is larger than the sum of its proper divisors (24199743).

34856385 is a wasteful number, since it uses less digits than its factorization.

34856385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525.

The product of its digits is 345600, while the sum is 42.

The square root of 34856385 is about 5903.9296235643. The cubic root of 34856385 is about 326.6586136892.

It can be divided in two parts, 3485 and 6385, that added together give a triangular number (9870 = T140).

The spelling of 34856385 in words is "thirty-four million, eight hundred fifty-six thousand, three hundred eighty-five".

Divisors: 1 3 5 15 23 69 71 115 213 345 355 1065 1423 1633 4269 4899 7115 8165 21345 24495 32729 98187 101033 163645 303099 490935 505165 1515495 2323759 6971277 11618795 34856385