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34056612 = 2234257409
BaseRepresentation
bin1000000111101…
…0100110100100
32101002020220000
42001322212210
532204302422
63213541300
7562322262
oct201724644
971066800
1034056612
1118251267
12b4a4830
137095555
144747432
152ecacac
hex207a9a4

34056612 has 60 divisors (see below), whose sum is σ = 89595660. Its totient is φ = 11280384.

The previous prime is 34056601. The next prime is 34056619. The reversal of 34056612 is 21665043.

34056612 is a `hidden beast` number, since 3 + 40 + 5 + 6 + 612 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 32558436 + 1498176 = 5706^2 + 1224^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (34056619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 83064 + ... + 83472.

It is an arithmetic number, because the mean of its divisors is an integer number (1493261).

Almost surely, 234056612 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 34056612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44797830).

34056612 is an abundant number, since it is smaller than the sum of its proper divisors (55539048).

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

34056612 is a wasteful number, since it uses less digits than its factorization.

34056612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 34056612 is about 5835.8043147453. The cubic root of 34056612 is about 324.1408852319.

The spelling of 34056612 in words is "thirty-four million, fifty-six thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 257 324 409 514 771 818 1028 1227 1542 1636 2313 2454 3084 3681 4626 4908 6939 7362 9252 11043 13878 14724 20817 22086 27756 33129 41634 44172 66258 83268 105113 132516 210226 315339 420452 630678 946017 1261356 1892034 2838051 3784068 5676102 8514153 11352204 17028306 34056612