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34353713000252 = 221917324135330713
BaseRepresentation
bin1111100111110100110001…
…10111000010111100111100
311111122011221022210121121002
413303322120313002330330
514000322401012002002
6201021513342225432
710143655014321242
oct763723067027474
9144564838717532
1034353713000252
11aa45367431018
123a29b90b85278
13162270612c269
1486aa2b324792
153e8943c6b002
hex1f3e98dc2f3c

34353713000252 has 96 divisors (see below), whose sum is σ = 64096201350720. Its totient is φ = 16065452113920.

The previous prime is 34353713000251. The next prime is 34353713000291. The reversal of 34353713000252 is 25200031735343.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34353713000251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1118524448 + ... + 1118555160.

It is an arithmetic number, because the mean of its divisors is an integer number (667668764070).

Almost surely, 234353713000252 is an apocalyptic number.

It is an amenable number.

34353713000252 is a deficient number, since it is larger than the sum of its proper divisors (29742488350468).

34353713000252 is a wasteful number, since it uses less digits than its factorization.

34353713000252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31503 (or 31501 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 38.

Adding to 34353713000252 its reverse (25200031735343), we get a palindrome (59553744735595).

The spelling of 34353713000252 in words is "thirty-four trillion, three hundred fifty-three billion, seven hundred thirteen million, two hundred fifty-two", and thus it is an aban number.

Divisors: 1 2 4 19 38 76 173 241 346 353 482 692 706 964 1412 3287 4579 6574 6707 9158 13148 13414 18316 26828 30713 41693 61069 61426 83386 85073 122138 122852 166772 170146 244276 340292 583547 792167 1160311 1167094 1584334 1616387 2320622 2334188 3168668 3232774 4641244 5313349 6465548 7401833 10626698 10841689 14717629 14803666 21253396 21683378 29435258 29607332 43366756 58870516 100953631 140634827 201907262 205992091 279634951 281269654 403814524 411984182 559269902 562539308 823968364 1118539804 1280517109 1875612197 2561034218 2612847049 3751224394 5122068436 5225694098 7502448788 10451388196 24329825071 35636631743 48659650142 49644093931 71273263486 97319300284 99288187862 142546526972 198576375724 452022539477 904045078954 1808090157908 8588428250063 17176856500126 34353713000252