Search a number
-
+
34533072 = 2432734259
BaseRepresentation
bin1000001110111…
…0111011010000
32101222110110200
42003232323100
532320024242
63232055200
7566345340
oct203567320
971873420
1034533072
1118547232
12b694500
137201392
14482cd20
15307204c
hex20eeed0

34533072 has 60 divisors (see below), whose sum is σ = 110454240. Its totient is φ = 9866304.

The previous prime is 34533061. The next prime is 34533077. The reversal of 34533072 is 27033543.

34533072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34533077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16122 + ... + 18137.

It is an arithmetic number, because the mean of its divisors is an integer number (1840904).

Almost surely, 234533072 is an apocalyptic number.

It is an amenable number.

34533072 is an abundant number, since it is smaller than the sum of its proper divisors (75921168).

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

34533072 is a wasteful number, since it uses less digits than its factorization.

34533072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34280 (or 34271 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 27.

The square root of 34533072 is about 5876.4846634702. The cubic root of 34533072 is about 325.6454926605.

The spelling of 34533072 in words is "thirty-four million, five hundred thirty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 34259 68518 102777 137036 205554 239813 274072 308331 411108 479626 548144 616662 719439 822216 959252 1233324 1438878 1644432 1918504 2158317 2466648 2877756 3837008 4316634 4933296 5755512 8633268 11511024 17266536 34533072