Search a number
-
+
34212388245 = 3572106943543
BaseRepresentation
bin11111110111001101…
…111001110110010101
310021022022122101201120
4133313031321312111
51030031332410440
623414510114153
72320546334100
oct376715716625
9107268571646
1034212388245
1113567001732
1267697ab959
1332c2cba719
141927a87737
15d53853dd0
hex7f7379d95

34212388245 has 48 divisors (see below), whose sum is σ = 63737965440. Its totient is φ = 15624959616.

The previous prime is 34212388229. The next prime is 34212388253. The reversal of 34212388245 is 54288321243.

It is not a de Polignac number, because 34212388245 - 24 = 34212388229 is a prime.

It is a super-2 number, since 2×342123882452 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34212388197 and 34212388206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 763944 + ... + 807486.

It is an arithmetic number, because the mean of its divisors is an integer number (1327874280).

Almost surely, 234212388245 is an apocalyptic number.

34212388245 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34212388245 is a deficient number, since it is larger than the sum of its proper divisors (29525577195).

34212388245 is a wasteful number, since it uses less digits than its factorization.

34212388245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44634 (or 44627 counting only the distinct ones).

The product of its digits is 368640, while the sum is 42.

The spelling of 34212388245 in words is "thirty-four billion, two hundred twelve million, three hundred eighty-eight thousand, two hundred forty-five".

Divisors: 1 3 5 7 15 21 35 49 105 147 245 735 1069 3207 5345 7483 16035 22449 37415 43543 52381 112245 130629 157143 217715 261905 304801 653145 785715 914403 1524005 2133607 4572015 6400821 10668035 32004105 46547467 139642401 232737335 325832269 698212005 977496807 1629161345 2280825883 4887484035 6842477649 11404129415 34212388245