Search a number
-
+
34331814 = 2321131433
BaseRepresentation
bin1000001011110…
…1110010100110
32101121020101200
42002331302212
532242104224
63223503330
7564546516
oct202756246
971536350
1034331814
111841a000
12b5b7b46
1371608aa
1447b9846
1530325c9
hex20bdca6

34331814 has 48 divisors (see below), whose sum is σ = 81875664. Its totient is φ = 10396320.

The previous prime is 34331779. The next prime is 34331861. The reversal of 34331814 is 41813343.

34331814 is a `hidden beast` number, since 343 + 318 + 1 + 4 = 666.

34331814 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 23 ways as a sum of consecutive naturals, for example, 23242 + ... + 24674.

It is an arithmetic number, because the mean of its divisors is an integer number (1705743).

Almost surely, 234331814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34331814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40937832).

34331814 is an abundant number, since it is smaller than the sum of its proper divisors (47543850).

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

34331814 is a wasteful number, since it uses less digits than its factorization.

34331814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1474 (or 1449 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 34331814 is about 5859.3356278677. The cubic root of 34331814 is about 325.0116413976.

The spelling of 34331814 in words is "thirty-four million, three hundred thirty-one thousand, eight hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 1331 1433 2178 2662 2866 3993 4299 7986 8598 11979 12897 15763 23958 25794 31526 47289 94578 141867 173393 283734 346786 520179 1040358 1560537 1907323 3121074 3814646 5721969 11443938 17165907 34331814