Search a number
-
+
34204476 = 223171071567
BaseRepresentation
bin1000001001111…
…0101100111100
32101100202201110
42002132230330
532224020401
63221042020
7563506335
oct202365474
971322643
1034204476
1118342369
12b556310
137117947
14478528c
1530099d6
hex209eb3c

34204476 has 48 divisors (see below), whose sum is σ = 85349376. Its totient is φ = 10623744.

The previous prime is 34204453. The next prime is 34204487. The reversal of 34204476 is 67440243.

34204476 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 an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 21045 + ... + 22611.

It is an arithmetic number, because the mean of its divisors is an integer number (1778112).

Almost surely, 234204476 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 34204476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42674688).

34204476 is an abundant number, since it is smaller than the sum of its proper divisors (51144900).

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

34204476 is a wasteful number, since it uses less digits than its factorization.

34204476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1698 (or 1696 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 34204476 is about 5848.4592842902. The cubic root of 34204476 is about 324.6093167402.

The spelling of 34204476 in words is "thirty-four million, two hundred four thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 107 204 214 321 428 642 1284 1567 1819 3134 3638 4701 5457 6268 7276 9402 10914 18804 21828 26639 53278 79917 106556 159834 167669 319668 335338 503007 670676 1006014 2012028 2850373 5700746 8551119 11401492 17102238 34204476