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34708080744 = 233653112289
BaseRepresentation
bin100000010100110000…
…110100100001101000
310022120212101012000000
4200110300310201220
51032040232040434
623540014343000
72336045550531
oct402460644150
9108525335000
1034708080744
11137a0896857
1268877baa60
1333718c4cac
14197383b688
15d8211ab99
hex814c34868

34708080744 has 112 divisors (see below), whose sum is σ = 99413705700. Its totient is φ = 11350969344.

The previous prime is 34708080739. The next prime is 34708080749. The reversal of 34708080744 is 44708080743.

It is an interprime number because it is at equal distance from previous prime (34708080739) and next prime (34708080749).

It can be written as a sum of positive squares in 2 ways, for example, as 27215100900 + 7492979844 = 164970^2 + 86562^2 .

It is a super-3 number, since 3×347080807443 (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34708080744.

It is not an unprimeable number, because it can be changed into a prime (34708080749) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 252952 + ... + 365240.

Almost surely, 234708080744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34708080744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49706852850).

34708080744 is an abundant number, since it is smaller than the sum of its proper divisors (64705624956).

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

34708080744 is a wasteful number, since it uses less digits than its factorization.

34708080744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112366 (or 112347 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

Subtracting 34708080744 from its reverse (44708080743), we obtain a palindrome (9999999999).

The spelling of 34708080744 in words is "thirty-four billion, seven hundred eight million, eighty thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 81 106 108 159 162 212 216 243 318 324 424 477 486 636 648 729 954 972 1272 1431 1458 1908 1944 2862 2916 3816 4293 5724 5832 8586 11448 12879 17172 25758 34344 38637 51516 77274 103032 112289 154548 224578 309096 336867 449156 673734 898312 1010601 1347468 2021202 2694936 3031803 4042404 5951317 6063606 8084808 9095409 11902634 12127212 17853951 18190818 23805268 24254424 27286227 35707902 36381636 47610536 53561853 54572454 71415804 72763272 81858681 107123706 109144908 142831608 160685559 163717362 214247412 218289816 321371118 327434724 428494824 482056677 642742236 654869448 964113354 1285484472 1446170031 1928226708 2892340062 3856453416 4338510093 5784680124 8677020186 11569360248 17354040372 34708080744