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34114212 = 223211277311
BaseRepresentation
bin1000001000100…
…0101010100100
32101012011220100
42002020222210
532213123322
63215104100
7562652226
oct202105244
971164810
1034114212
1118290570
12b512030
1370b5832
144760416
152edcdac
hex2088aa4

34114212 has 72 divisors (see below), whose sum is σ = 94715712. Its totient is φ = 10267200.

The previous prime is 34114159. The next prime is 34114219. The reversal of 34114212 is 21241143.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (34114219) 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, 109537 + ... + 109847.

It is an arithmetic number, because the mean of its divisors is an integer number (1315496).

Almost surely, 234114212 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 34114212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47357856).

34114212 is an abundant number, since it is smaller than the sum of its proper divisors (60601500).

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

34114212 is a wasteful number, since it uses less digits than its factorization.

34114212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 604 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 34114212 is about 5840.7372822273. The cubic root of 34114212 is about 324.3235222976.

Adding to 34114212 its reverse (21241143), we get a palindrome (55355355).

The spelling of 34114212 in words is "thirty-four million, one hundred fourteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 277 311 396 554 622 831 933 1108 1244 1662 1866 2493 2799 3047 3324 3421 3732 4986 5598 6094 6842 9141 9972 10263 11196 12188 13684 18282 20526 27423 30789 36564 41052 54846 61578 86147 109692 123156 172294 258441 344588 516882 775323 947617 1033764 1550646 1895234 2842851 3101292 3790468 5685702 8528553 11371404 17057106 34114212