Search a number
-
+
4034844 = 22321123443
BaseRepresentation
bin1111011001000100011100
321120222202200
433121010130
52013103334
6222251500
746203252
oct17310434
97528680
104034844
112306490
121426b90
13ab36a8
147705d2
1554a799
hex3d911c

4034844 has 72 divisors (see below), whose sum is σ = 11636352. Its totient is φ = 1166880.

The previous prime is 4034827. The next prime is 4034869. The reversal of 4034844 is 4484304.

4034844 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40348442 = 32559932208672, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 8887 + ... + 9329.

It is an arithmetic number, because the mean of its divisors is an integer number (161616).

Almost surely, 24034844 is an apocalyptic number.

4034844 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4034844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5818176).

4034844 is an abundant number, since it is smaller than the sum of its proper divisors (7601508).

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

4034844 is a wasteful number, since it uses less digits than its factorization.

4034844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 4034844 is about 2008.6921117981. The cubic root of 4034844 is about 159.1997016063.

The spelling of 4034844 in words is "four million, thirty-four thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 66 69 92 99 132 138 198 207 253 276 396 414 443 506 759 828 886 1012 1329 1518 1772 2277 2658 3036 3987 4554 4873 5316 7974 9108 9746 10189 14619 15948 19492 20378 29238 30567 40756 43857 58476 61134 87714 91701 112079 122268 175428 183402 224158 336237 366804 448316 672474 1008711 1344948 2017422 4034844