Search a number
-
+
34044132 = 22317433881
BaseRepresentation
bin1000000111011…
…1100011100100
32101001121202210
42001313203210
532203403012
63213403420
7562241013
oct201674344
971047683
1034044132
1118242951
12b499570
13708c975
144742a7a
152ec723c
hex20778e4

34044132 has 48 divisors (see below), whose sum is σ = 86087232. Its totient is φ = 10429440.

The previous prime is 34044091. The next prime is 34044133. The reversal of 34044132 is 23144043.

It is a junction number, because it is equal to n+sod(n) for n = 34044099 and 34044108.

It is not an unprimeable number, because it can be changed into a prime (34044133) 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, 6832 + ... + 10712.

It is an arithmetic number, because the mean of its divisors is an integer number (1793484).

Almost surely, 234044132 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 34044132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43043616).

34044132 is an abundant number, since it is smaller than the sum of its proper divisors (52043100).

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

34044132 is a wasteful number, since it uses less digits than its factorization.

34044132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3948 (or 3946 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 34044132 is about 5834.7349554200. The cubic root of 34044132 is about 324.1012867297.

Adding to 34044132 its reverse (23144043), we get a palindrome (57188175).

The spelling of 34044132 in words is "thirty-four million, forty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 34 43 51 68 86 102 129 172 204 258 516 731 1462 2193 2924 3881 4386 7762 8772 11643 15524 23286 46572 65977 131954 166883 197931 263908 333766 395862 500649 667532 791724 1001298 2002596 2837011 5674022 8511033 11348044 17022066 34044132