Search a number
-
+
34743330 = 234559727
BaseRepresentation
bin1000010010001…
…0010000100010
32102101010220000
42010202100202
532343241310
63240400430
7601212336
oct204422042
972333800
1034743330
11186801a6
12b776116
137275cab
1448857c6
1530b44c0
hex2122422

34743330 has 80 divisors (see below), whose sum is σ = 95135040. Its totient is φ = 9095328.

The previous prime is 34743311. The next prime is 34743347. The reversal of 34743330 is 3334743.

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

It is a junction number, because it is equal to n+sod(n) for n = 34743294 and 34743303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 47427 + ... + 48153.

It is an arithmetic number, because the mean of its divisors is an integer number (1189188).

Almost surely, 234743330 is an apocalyptic number.

34743330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34743330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47567520).

34743330 is an abundant number, since it is smaller than the sum of its proper divisors (60391710).

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

34743330 is a wasteful number, since it uses less digits than its factorization.

34743330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 27.

The square root of 34743330 is about 5894.3472921096. The cubic root of 34743330 is about 326.3050640313.

The spelling of 34743330 in words is "thirty-four million, seven hundred forty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 59 81 90 118 135 162 177 270 295 354 405 531 590 727 810 885 1062 1454 1593 1770 2181 2655 3186 3635 4362 4779 5310 6543 7270 7965 9558 10905 13086 15930 19629 21810 23895 32715 39258 42893 47790 58887 65430 85786 98145 117774 128679 196290 214465 257358 294435 386037 428930 588870 643395 772074 1158111 1286790 1930185 2316222 3474333 3860370 5790555 6948666 11581110 17371665 34743330