Search a number
-
+
34689222 = 235137521
BaseRepresentation
bin1000010001010…
…1000011000110
32102021101200000
42010111003012
532340023342
63235302130
7600565521
oct204250306
972241600
1034689222
1118643587
12b74a946
137257489
14486dbb8
1530a344c
hex21150c6

34689222 has 48 divisors (see below), whose sum is σ = 78663312. Its totient is φ = 11456640.

The previous prime is 34689209. The next prime is 34689223. The reversal of 34689222 is 22298643.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34689223) 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, 66322 + ... + 66842.

It is an arithmetic number, because the mean of its divisors is an integer number (1638819).

Almost surely, 234689222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34689222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39331656).

34689222 is an abundant number, since it is smaller than the sum of its proper divisors (43974090).

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

34689222 is a wasteful number, since it uses less digits than its factorization.

34689222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 663 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 34689222 is about 5889.7556825390. The cubic root of 34689222 is about 326.1355841359.

The spelling of 34689222 in words is "thirty-four million, six hundred eighty-nine thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 137 162 243 274 411 486 521 822 1042 1233 1563 2466 3126 3699 4689 7398 9378 11097 14067 22194 28134 33291 42201 66582 71377 84402 126603 142754 214131 253206 428262 642393 1284786 1927179 3854358 5781537 11563074 17344611 34689222