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34340140352 = 2671719237313
BaseRepresentation
bin11111111110110101…
…001111010101000000
310021122020000212200002
4133332311033111000
51030312033442402
623435312215132
72323660243160
oct377665172500
9107566025602
1034340140352
1113622128791
1267a453a4a8
1333135c9c9b
14193aa205a0
15d5eb8b602
hex7fed4f540

34340140352 has 112 divisors (see below), whose sum is σ = 86799968640. Its totient is φ = 13122404352.

The previous prime is 34340140321. The next prime is 34340140391. The reversal of 34340140352 is 25304104343.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26048 + ... + 263360.

It is an arithmetic number, because the mean of its divisors is an integer number (774999720).

Almost surely, 234340140352 is an apocalyptic number.

34340140352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34340140352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43399984320).

34340140352 is an abundant number, since it is smaller than the sum of its proper divisors (52459828288).

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

34340140352 is a wasteful number, since it uses less digits than its factorization.

34340140352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237368 (or 237358 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 29.

Adding to 34340140352 its reverse (25304104343), we get a palindrome (59644244695).

The spelling of 34340140352 in words is "thirty-four billion, three hundred forty million, one hundred forty thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 17 19 28 32 34 38 56 64 68 76 112 119 133 136 152 224 238 266 272 304 323 448 476 532 544 608 646 952 1064 1088 1216 1292 1904 2128 2261 2584 3808 4256 4522 5168 7616 8512 9044 10336 18088 20672 36176 72352 144704 237313 474626 949252 1661191 1898504 3322382 3797008 4034321 4508947 6644764 7594016 8068642 9017894 13289528 15188032 16137284 18035788 26579056 28240247 31562629 32274568 36071576 53158112 56480494 63125258 64549136 72143152 76652099 106316224 112960988 126250516 129098272 144286304 153304198 225921976 252501032 258196544 288572608 306608396 451843952 505002064 536564693 613216792 903687904 1010004128 1073129386 1226433584 1807375808 2020008256 2146258772 2452867168 4292517544 4905734336 8585035088 17170070176 34340140352