Search a number
-
+
34220568 = 2334183419
BaseRepresentation
bin1000001010001…
…0101000011000
32101101120210110
42002202220120
532230024233
63221244320
7563604264
oct202425030
971346713
1034220568
1118353468
12b5636a0
137122075
14478b0a4
15300e663
hex20a2a18

34220568 has 64 divisors (see below), whose sum is σ = 88905600. Its totient is φ = 10968320.

The previous prime is 34220567. The next prime is 34220591. The reversal of 34220568 is 86502243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34220567) 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, 81463 + ... + 81881.

It is an arithmetic number, because the mean of its divisors is an integer number (1389150).

Almost surely, 234220568 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 34220568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44452800).

34220568 is an abundant number, since it is smaller than the sum of its proper divisors (54685032).

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

34220568 is a wasteful number, since it uses less digits than its factorization.

34220568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 34220568 is about 5849.8348694643. The cubic root of 34220568 is about 324.6602145054.

It can be divided in two parts, 342 and 20568, that added together give a triangular number (20910 = T204).

The spelling of 34220568 in words is "thirty-four million, two hundred twenty thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 41 82 83 123 164 166 246 249 328 332 419 492 498 664 838 984 996 1257 1676 1992 2514 3352 3403 5028 6806 10056 10209 13612 17179 20418 27224 34358 34777 40836 51537 68716 69554 81672 103074 104331 137432 139108 206148 208662 278216 412296 417324 834648 1425857 2851714 4277571 5703428 8555142 11406856 17110284 34220568