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34827342330 = 23511138176421
BaseRepresentation
bin100000011011110111…
…110001000111111010
310022220011210022010210
4200123313301013322
51032311244423310
623555514451550
72342024345124
oct403367610772
9108804708123
1034827342330
1113852143850
1268bb733bb6
133390520a91
141985604214
15d8c827820
hex81bdf11fa

34827342330 has 64 divisors (see below), whose sum is σ = 91251536256. Its totient is φ = 8436768000.

The previous prime is 34827342307. The next prime is 34827342337. The reversal of 34827342330 is 3324372843.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34827342337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 417520 + ... + 493940.

It is an arithmetic number, because the mean of its divisors is an integer number (1425805254).

Almost surely, 234827342330 is an apocalyptic number.

34827342330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34827342330 is an abundant number, since it is smaller than the sum of its proper divisors (56424193926).

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

34827342330 is a wasteful number, since it uses less digits than its factorization.

34827342330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77823.

The product of its (nonzero) digits is 290304, while the sum is 39.

The spelling of 34827342330 in words is "thirty-four billion, eight hundred twenty-seven million, three hundred forty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 1381 2762 4143 6905 8286 13810 15191 20715 30382 41430 45573 75955 76421 91146 151910 152842 227865 229263 382105 455730 458526 764210 840631 1146315 1681262 2292630 2521893 4203155 5043786 8406310 12609465 25218930 105537401 211074802 316612203 527687005 633224406 1055374010 1160911411 1583061015 2321822822 3166122030 3482734233 5804557055 6965468466 11609114110 17413671165 34827342330