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34236843750 = 2335640577
BaseRepresentation
bin11111111000101011…
…001100011011100110
310021101000122212101000
4133320223030123212
51030104113000000
623421142214130
72321264240664
oct377053143346
9107330585330
1034236843750
111357989549a
126775a24346
1332c80a0b35
14192b011c34
15d55a85000
hex7f8acc6e6

34236843750 has 112 divisors (see below), whose sum is σ = 95103470160. Its totient is φ = 9129600000.

The previous prime is 34236843731. The next prime is 34236843791. The reversal of 34236843750 is 5734863243.

It is a super-2 number, since 2×342368437502 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34236843696 and 34236843705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 823462 + ... + 864038.

Almost surely, 234236843750 is an apocalyptic number.

34236843750 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34236843750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47551735080).

34236843750 is an abundant number, since it is smaller than the sum of its proper divisors (60866626410).

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

34236843750 is an frugal number, since it uses more digits than its factorization.

34236843750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40618 (or 40587 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 34236843750 in words is "thirty-four billion, two hundred thirty-six million, eight hundred forty-three thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 125 135 150 225 250 270 375 450 625 675 750 1125 1250 1350 1875 2250 3125 3375 3750 5625 6250 6750 9375 11250 15625 16875 18750 28125 31250 33750 40577 46875 56250 81154 84375 93750 121731 140625 168750 202885 243462 281250 365193 405770 421875 608655 730386 843750 1014425 1095579 1217310 1825965 2028850 2191158 3043275 3651930 5072125 5477895 6086550 9129825 10144250 10955790 15216375 18259650 25360625 27389475 30432750 45649125 50721250 54778950 76081875 91298250 126803125 136947375 152163750 228245625 253606250 273894750 380409375 456491250 634015625 684736875 760818750 1141228125 1268031250 1369473750 1902046875 2282456250 3423684375 3804093750 5706140625 6847368750 11412281250 17118421875 34236843750