Search a number
-
+
29339244 = 223211431723
BaseRepresentation
bin110111111101…
…0111001101100
32001012120212200
41233322321230
530002323434
62524501500
7504244104
oct157727154
961176780
1029339244
111561a010
1299aa890
1361032cc
143c7a204
152898199
hex1bfae6c

29339244 has 72 divisors (see below), whose sum is σ = 82834752. Its totient is φ = 8678880.

The previous prime is 29339239. The next prime is 29339267. The reversal of 29339244 is 44293392.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 29339199 and 29339208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16167 + ... + 17889.

Almost surely, 229339244 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 29339244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41417376).

29339244 is an abundant number, since it is smaller than the sum of its proper divisors (53495508).

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

29339244 is a wasteful number, since it uses less digits than its factorization.

29339244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1787 (or 1782 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 29339244 is about 5416.5712401851. The cubic root of 29339244 is about 308.4250470454.

The spelling of 29339244 in words is "twenty-nine million, three hundred thirty-nine thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 43 44 66 86 99 129 132 172 198 258 387 396 473 516 774 946 1419 1548 1723 1892 2838 3446 4257 5169 5676 6892 8514 10338 15507 17028 18953 20676 31014 37906 56859 62028 74089 75812 113718 148178 170577 222267 227436 296356 341154 444534 666801 682308 814979 889068 1333602 1629958 2444937 2667204 3259916 4889874 7334811 9779748 14669622 29339244