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34789212 = 22322947709
BaseRepresentation
bin1000010010110…
…1011101011100
32102110110211100
42010231131130
532401223322
63241353100
7601463163
oct204553534
972413740
1034789212
1118701717
12b798790
137290b43
1448983da
1530c2dac
hex212d75c

34789212 has 72 divisors (see below), whose sum is σ = 93038400. Its totient is φ = 10942848.

The previous prime is 34789211. The next prime is 34789217. The reversal of 34789212 is 21298743.

34789212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34789211) 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 23 ways as a sum of consecutive naturals, for example, 48714 + ... + 49422.

It is an arithmetic number, because the mean of its divisors is an integer number (1292200).

Almost surely, 234789212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34789212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46519200).

34789212 is an abundant number, since it is smaller than the sum of its proper divisors (58249188).

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

34789212 is a wasteful number, since it uses less digits than its factorization.

34789212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 790 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 34789212 is about 5898.2380419919. The cubic root of 34789212 is about 326.4486402066.

The spelling of 34789212 in words is "thirty-four million, seven hundred eighty-nine thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 29 36 47 58 87 94 116 141 174 188 261 282 348 423 522 564 709 846 1044 1363 1418 1692 2127 2726 2836 4089 4254 5452 6381 8178 8508 12267 12762 16356 20561 24534 25524 33323 41122 49068 61683 66646 82244 99969 123366 133292 185049 199938 246732 299907 370098 399876 599814 740196 966367 1199628 1932734 2899101 3865468 5798202 8697303 11596404 17394606 34789212