Search a number
-
+
34405074 = 2341143449
BaseRepresentation
bin1000001100111…
…1101011010010
32101201221220000
42003033223102
532301430244
63225230430
7565303224
oct203175322
971657800
1034405074
111846a050
12b632416
137188042
1447d8414
153049169
hex20cfad2

34405074 has 80 divisors (see below), whose sum is σ = 86248800. Its totient is φ = 10160640.

The previous prime is 34405073. The next prime is 34405097. The reversal of 34405074 is 47050443.

34405074 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (34405073) 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 39 ways as a sum of consecutive naturals, for example, 76402 + ... + 76850.

It is an arithmetic number, because the mean of its divisors is an integer number (1078110).

Almost surely, 234405074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34405074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43124400).

34405074 is an abundant number, since it is smaller than the sum of its proper divisors (51843726).

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

34405074 is a wasteful number, since it uses less digits than its factorization.

34405074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 34405074 is about 5865.5838584066. The cubic root of 34405074 is about 325.2426558608.

The spelling of 34405074 in words is "thirty-four million, four hundred five thousand, seventy-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 43 54 66 81 86 99 129 162 198 258 297 387 449 473 594 774 891 898 946 1161 1347 1419 1782 2322 2694 2838 3483 4041 4257 4939 6966 8082 8514 9878 12123 12771 14817 19307 24246 25542 29634 36369 38313 38614 44451 57921 72738 76626 88902 115842 133353 173763 212377 266706 347526 400059 424754 521289 637131 800118 1042578 1274262 1563867 1911393 3127734 3822786 5734179 11468358 17202537 34405074