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34917530640 = 2435587247853
BaseRepresentation
bin100000100001001111…
…110011110000010000
310100010110111100020120
4200201033303300100
51033002341440030
624012455510240
72344201053606
oct404117636020
9110113440216
1034917530640
1113899043643
126925988380
1333a610a645
14199359d876
15d956e0010
hex8213f3c10

34917530640 has 80 divisors (see below), whose sum is σ = 108429185088. Its totient is φ = 9295441408.

The previous prime is 34917530629. The next prime is 34917530677. The reversal of 34917530640 is 4603571943.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 34917530592 and 34917530601.

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, 16954 + ... + 264806.

Almost surely, 234917530640 is an apocalyptic number.

34917530640 is a gapful number since it is divisible by the number (30) 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 34917530640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54214592544).

34917530640 is an abundant number, since it is smaller than the sum of its proper divisors (73511654448).

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

34917530640 is a wasteful number, since it uses less digits than its factorization.

34917530640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248456 (or 248450 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The spelling of 34917530640 in words is "thirty-four billion, nine hundred seventeen million, five hundred thirty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 587 1174 1761 2348 2935 3522 4696 5870 7044 8805 9392 11740 14088 17610 23480 28176 35220 46960 70440 140880 247853 495706 743559 991412 1239265 1487118 1982824 2478530 2974236 3717795 3965648 4957060 5948472 7435590 9914120 11896944 14871180 19828240 29742360 59484720 145489711 290979422 436469133 581958844 727448555 872938266 1163917688 1454897110 1745876532 2182345665 2327835376 2909794220 3491753064 4364691330 5819588440 6983506128 8729382660 11639176880 17458765320 34917530640