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34000370370704 = 2417193971667019
BaseRepresentation
bin1111011101100010100111…
…11111111000100010010000
311110101101220021022020111202
413232301103333320202100
513424030224303330304
6200151315435330332
710106305605451313
oct756612377704220
9143341807266452
1034000370370704
11a919526760711
1239915bb2b09a8
1315c82b4ba3c3a
148578ab97a97a
153de66354381e
hex1eec53ff8890

34000370370704 has 80 divisors (see below), whose sum is σ = 70184474066880. Its totient is φ = 15900855336960.

The previous prime is 34000370370679. The next prime is 34000370370719. The reversal of 34000370370704 is 40707307300043.

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, 50640107 + ... + 51307125.

It is an arithmetic number, because the mean of its divisors is an integer number (877305925836).

Almost surely, 234000370370704 is an apocalyptic number.

34000370370704 is a gapful number since it is divisible by the number (34) 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 34000370370704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35092237033440).

34000370370704 is an abundant number, since it is smaller than the sum of its proper divisors (36184103696176).

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

34000370370704 is a wasteful number, since it uses less digits than its factorization.

34000370370704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668208 (or 668202 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 38.

Adding to 34000370370704 its reverse (40707307300043), we get a palindrome (74707677670747).

The spelling of 34000370370704 in words is "thirty-four trillion, three hundred seventy million, three hundred seventy thousand, seven hundred four".

Divisors: 1 2 4 8 16 17 34 68 136 193 272 386 772 971 1544 1942 3088 3281 3884 6562 7768 13124 15536 16507 26248 33014 52496 66028 132056 187403 264112 374806 667019 749612 1334038 1499224 2668076 2998448 3185851 5336152 6371702 10672304 11339323 12743404 22678646 25486808 45357292 50973616 90714584 128734667 181429168 257469334 514938668 647675449 1029877336 1295350898 2059754672 2188489339 2590701796 4376978678 5181403592 8753957356 10362807184 11010482633 17507914712 22020965266 35015829424 44041930532 88083861064 125001361657 176167722128 250002723314 500005446628 1000010893256 2000021786512 2125023148169 4250046296338 8500092592676 17000185185352 34000370370704