Search a number
-
+
34224204 = 22371812251
BaseRepresentation
bin1000001010001…
…1100001001100
32101101202210010
42002203201030
532230133304
63221313220
7563621010
oct202434114
971352703
1034224204
1118356173
12b565810
137123911
14478c540
153010789
hex20a384c

34224204 has 48 divisors (see below), whose sum is σ = 91809536. Its totient is φ = 9720000.

The previous prime is 34224193. The next prime is 34224209. The reversal of 34224204 is 40242243.

It is a super-2 number, since 2×342242042 = 2342592278867232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (34224209) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14079 + ... + 16329.

Almost surely, 234224204 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 34224204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45904768).

34224204 is an abundant number, since it is smaller than the sum of its proper divisors (57585332).

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

34224204 is a wasteful number, since it uses less digits than its factorization.

34224204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2446 (or 2444 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 34224204 is about 5850.1456392128. The cubic root of 34224204 is about 324.6717126852.

Adding to 34224204 its reverse (40242243), we get a palindrome (74466447).

It can be divided in two parts, 3422 and 4204, that added together give a triangular number (7626 = T123).

The spelling of 34224204 in words is "thirty-four million, two hundred twenty-four thousand, two hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 181 362 543 724 1086 1267 2172 2251 2534 3801 4502 5068 6753 7602 9004 13506 15204 15757 27012 31514 47271 63028 94542 189084 407431 814862 1222293 1629724 2444586 2852017 4889172 5704034 8556051 11408068 17112102 34224204