Search a number
-
+
34507212 = 22317475961
BaseRepresentation
bin1000001110100…
…0100111001100
32101221010222220
42003220213030
532313212322
63231335340
7566210055
oct203504714
971833886
1034507212
1118529863
12b681550
1371c268c
14482372c
15306955c
hex20e89cc

34507212 has 96 divisors (see below), whose sum is σ = 89994240. Its totient is φ = 10245120.

The previous prime is 34507189. The next prime is 34507237. The reversal of 34507212 is 21270543.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 565662 + ... + 565722.

It is an arithmetic number, because the mean of its divisors is an integer number (937440).

Almost surely, 234507212 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 34507212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44997120).

34507212 is an abundant number, since it is smaller than the sum of its proper divisors (55487028).

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

34507212 is a wasteful number, since it uses less digits than its factorization.

34507212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 34507212 is about 5874.2839563644. The cubic root of 34507212 is about 325.5641861053.

Adding to 34507212 its reverse (21270543), we get a palindrome (55777755).

The spelling of 34507212 in words is "thirty-four million, five hundred seven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 17 34 47 51 59 61 68 94 102 118 122 141 177 183 188 204 236 244 282 354 366 564 708 732 799 1003 1037 1598 2006 2074 2397 2773 2867 3009 3111 3196 3599 4012 4148 4794 5546 5734 6018 6222 7198 8319 8601 9588 10797 11092 11468 12036 12444 14396 16638 17202 21594 33276 34404 43188 47141 48739 61183 94282 97478 122366 141423 146217 169153 183549 188564 194956 244732 282846 292434 338306 367098 507459 565692 584868 676612 734196 1014918 2029836 2875601 5751202 8626803 11502404 17253606 34507212