Search a number
-
+
34340334 = 23719231871
BaseRepresentation
bin1000001011111…
…1110111101110
32101121200002020
42002333313232
532242342314
63224011010
7564613410
oct202776756
971550066
1034340334
1118425446
12b600a66
137164732
1447bc9b0
153034da9
hex20bfdee

34340334 has 64 divisors (see below), whose sum is σ = 86261760. Its totient is φ = 8886240.

The previous prime is 34340287. The next prime is 34340347. The reversal of 34340334 is 43304343.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17419 + ... + 19289.

It is an arithmetic number, because the mean of its divisors is an integer number (1347840).

Almost surely, 234340334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34340334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43130880).

34340334 is an abundant number, since it is smaller than the sum of its proper divisors (51921426).

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

34340334 is a wasteful number, since it uses less digits than its factorization.

34340334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1925.

The product of its (nonzero) digits is 5184, while the sum is 24.

The square root of 34340334 is about 5860.0626276517. The cubic root of 34340334 is about 325.0385248217.

Adding to 34340334 its reverse (43304343), we get a palindrome (77644677).

The spelling of 34340334 in words is "thirty-four million, three hundred forty thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 14 19 21 23 38 42 46 57 69 114 133 138 161 266 322 399 437 483 798 874 966 1311 1871 2622 3059 3742 5613 6118 9177 11226 13097 18354 26194 35549 39291 43033 71098 78582 86066 106647 129099 213294 248843 258198 301231 497686 602462 746529 817627 903693 1493058 1635254 1807386 2452881 4905762 5723389 11446778 17170167 34340334