Search a number
-
+
34342415023252 = 22767239115366431
BaseRepresentation
bin1111100111011111101110…
…11100101011110010010100
311111121002202221122220202111
413303233313130223302110
514000131231221221002
6201012404311320404
710143105026152630
oct763576734536224
9144532687586674
1034342415023252
11aa40599a80746
123a27959380104
13162162556487b
1486a278a49dc0
153e84d1e6c3d7
hex1f3bf772bc94

34342415023252 has 96 divisors (see below), whose sum is σ = 70063417589760. Its totient is φ = 14425101250560.

The previous prime is 34342415023249. The next prime is 34342415023289. The reversal of 34342415023252 is 25232051424343.

It is a super-3 number, since 3×343424150232523 (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 516930477 + ... + 516996907.

It is an arithmetic number, because the mean of its divisors is an integer number (729827266560).

Almost surely, 234342415023252 is an apocalyptic number.

It is an amenable number.

34342415023252 is an abundant number, since it is smaller than the sum of its proper divisors (35721002566508).

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

34342415023252 is a wasteful number, since it uses less digits than its factorization.

34342415023252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67901 (or 67899 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 40.

Adding to 34342415023252 its reverse (25232051424343), we get a palindrome (59574466447595).

The spelling of 34342415023252 in words is "thirty-four trillion, three hundred forty-two billion, four hundred fifteen million, twenty-three thousand, two hundred fifty-two".

Divisors: 1 2 4 7 14 28 67 134 239 268 469 478 938 956 1153 1673 1876 2306 3346 4612 6692 8071 16013 16142 32026 32284 64052 66431 77251 112091 132862 154502 224182 265724 275567 309004 448364 465017 540757 551134 930034 1081514 1102268 1860068 1928969 2163028 3857938 4450877 7715876 8901754 15877009 17803508 18462989 31156139 31754018 36925978 62312278 63508036 73851956 76594943 111139063 124624556 129240923 153189886 222278126 258481846 306379772 444556252 516963692 536164601 1063759603 1072329202 2127519206 2144658404 4255038412 5131861181 7446317221 10263722362 14892634442 18306191377 20527444724 29785268884 35923028267 36612382754 71846056534 73224765508 128143339639 143692113068 256286679278 512573358556 1226514822259 2453029644518 4906059289036 8585603755813 17171207511626 34342415023252