Search a number
-
+
34342092 = 22324153439
BaseRepresentation
bin1000001100000…
…0010011001100
32101121202111100
42003000103030
532242421332
63224023100
7564621501
oct203002314
971552440
1034342092
11184267a4
12b601a90
137165485
1447bd4a8
15303567c
hex20c04cc

34342092 has 72 divisors (see below), whose sum is σ = 90810720. Its totient is φ = 10932480.

The previous prime is 34342073. The next prime is 34342093. The reversal of 34342092 is 29024343.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (34342093) 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, 78009 + ... + 78447.

It is an arithmetic number, because the mean of its divisors is an integer number (1261260).

Almost surely, 234342092 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 34342092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45405360).

34342092 is an abundant number, since it is smaller than the sum of its proper divisors (56468628).

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

34342092 is a wasteful number, since it uses less digits than its factorization.

34342092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 34342092 is about 5860.2126241289. The cubic root of 34342092 is about 325.0440713410.

The spelling of 34342092 in words is "thirty-four million, three hundred forty-two thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 41 53 82 106 123 159 164 212 246 318 369 439 477 492 636 738 878 954 1317 1476 1756 1908 2173 2634 3951 4346 5268 6519 7902 8692 13038 15804 17999 19557 23267 26076 35998 39114 46534 53997 69801 71996 78228 93068 107994 139602 161991 209403 215988 279204 323982 418806 647964 837612 953947 1907894 2861841 3815788 5723682 8585523 11447364 17171046 34342092