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34770111341 = 73475473943
BaseRepresentation
bin100000011000011101…
…011100101101101101
310022202012002122222112
4200120131130231231
51032202122030331
623550112053405
72340431033000
oct403035345555
9108665078875
1034770111341
1113822904309
1268a4534265
1333817032a4
14197bb87537
15d877c032b
hex81875cb6d

34770111341 has 32 divisors (see below), whose sum is σ = 41497190400. Its totient is φ = 29108137968.

The previous prime is 34770111329. The next prime is 34770111349. The reversal of 34770111341 is 14311107743.

34770111341 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34770111341 - 222 = 34765917037 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34770111298 and 34770111307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34770111349) 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, 8816216 + ... + 8820158.

It is an arithmetic number, because the mean of its divisors is an integer number (1296787200).

Almost surely, 234770111341 is an apocalyptic number.

It is an amenable number.

34770111341 is a deficient number, since it is larger than the sum of its proper divisors (6727079059).

34770111341 is an equidigital number, since it uses as much as digits as its factorization.

34770111341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4558 (or 4544 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 32.

The spelling of 34770111341 in words is "thirty-four billion, seven hundred seventy million, one hundred eleven thousand, three hundred forty-one".

Divisors: 1 7 47 49 329 343 547 2303 3829 3943 16121 25709 26803 27601 179963 185321 187621 193207 1259741 1297247 1352449 2156821 8818187 9080729 15097747 63565103 101370587 105684229 709594109 739789603 4967158763 34770111341