Search a number
-
+
34134980 = 22511179127
BaseRepresentation
bin1000001000110…
…1101111000100
32101020020101112
42002031233010
532214304410
63215344152
7563066615
oct202155704
971206345
1034134980
11182a5130
12b522058
1370c2119
144767c0c
152ee4105
hex208dbc4

34134980 has 48 divisors (see below), whose sum is σ = 82809216. Its totient is φ = 11681280.

The previous prime is 34134973. The next prime is 34134983. The reversal of 34134980 is 8943143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34134983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 824 + ... + 8303.

It is an arithmetic number, because the mean of its divisors is an integer number (1725192).

Almost surely, 234134980 is an apocalyptic number.

It is an amenable number.

34134980 is an abundant number, since it is smaller than the sum of its proper divisors (48674236).

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

34134980 is a wasteful number, since it uses less digits than its factorization.

34134980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9164 (or 9162 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 34134980 is about 5842.5148694719. The cubic root of 34134980 is about 324.3893226797.

The spelling of 34134980 in words is "thirty-four million, one hundred thirty-four thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 748 935 1870 3740 9127 18254 36508 45635 91270 100397 155159 182540 200794 310318 401588 501985 620636 775795 1003970 1551590 1706749 2007940 3103180 3413498 6826996 8533745 17067490 34134980