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34755047340 = 22351369164483
BaseRepresentation
bin100000010111100011…
…111110111110101100
310022201010202100001120
4200113203332332230
51032134243003330
623544413140540
72340156012426
oct402743767654
9108633670046
1034755047340
1113815355522
12689b48a750
13337b55a790
141979b85816
15d862e6c10
hex8178fefac

34755047340 has 96 divisors (see below), whose sum is σ = 104953126656. Its totient is φ = 8542575360.

The previous prime is 34755047309. The next prime is 34755047377. The reversal of 34755047340 is 4374055743.

It is a junction number, because it is equal to n+sod(n) for n = 34755047292 and 34755047301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 506739 + ... + 571221.

It is an arithmetic number, because the mean of its divisors is an integer number (1093261736).

Almost surely, 234755047340 is an apocalyptic number.

34755047340 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 34755047340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52476563328).

34755047340 is an abundant number, since it is smaller than the sum of its proper divisors (70198079316).

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

34755047340 is a wasteful number, since it uses less digits than its factorization.

34755047340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65199 (or 65197 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 42.

The spelling of 34755047340 in words is "thirty-four billion, seven hundred fifty-five million, forty-seven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 691 780 1382 2073 2764 3455 4146 6910 8292 8983 10365 13820 17966 20730 26949 35932 41460 44915 53898 64483 89830 107796 128966 134745 179660 193449 257932 269490 322415 386898 538980 644830 773796 838279 967245 1289660 1676558 1934490 2514837 3353116 3868980 4191395 5029674 8382790 10059348 12574185 16765580 25148370 44557753 50296740 89115506 133673259 178231012 222788765 267346518 445577530 534693036 579250789 668366295 891155060 1158501578 1336732590 1737752367 2317003156 2673465180 2896253945 3475504734 5792507890 6951009468 8688761835 11585015780 17377523670 34755047340