Search a number
-
+
34309220 = 22511277563
BaseRepresentation
bin1000001011100…
…0010001100100
32101120002101212
42002320101210
532240343340
63223210552
7564423611
oct202702144
971502355
1034309220
1118404030
12b5a6a58
13715351a
1447b1508
15302aa65
hex20b8464

34309220 has 48 divisors (see below), whose sum is σ = 79023168. Its totient is φ = 12408960.

The previous prime is 34309217. The next prime is 34309237. The reversal of 34309220 is 2290343.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60659 + ... + 61221.

It is an arithmetic number, because the mean of its divisors is an integer number (1646316).

Almost surely, 234309220 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 34309220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39511584).

34309220 is an abundant number, since it is smaller than the sum of its proper divisors (44713948).

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

34309220 is a wasteful number, since it uses less digits than its factorization.

34309220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

The square root of 34309220 is about 5857.4072762614. The cubic root of 34309220 is about 324.9403282951.

Adding to 34309220 its reverse (2290343), we get a palindrome (36599563).

The spelling of 34309220 in words is "thirty-four million, three hundred nine thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 277 554 563 1108 1126 1385 2252 2770 2815 3047 5540 5630 6094 6193 11260 12188 12386 15235 24772 30470 30965 60940 61930 123860 155951 311902 623804 779755 1559510 1715461 3119020 3430922 6861844 8577305 17154610 34309220