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34006122325 = 5271671936029
BaseRepresentation
bin11111101010111011…
…000011111101010101
310020202221112000002001
4133222323003331111
51024121031403300
623342221115301
72312463161530
oct375273037525
9106687460061
1034006122325
111347062a02a
1267106b8b31
13328c34b396
141908513a17
15d406ad16a
hex7eaec3f55

34006122325 has 48 divisors (see below), whose sum is σ = 48739380480. Its totient is φ = 23054929920.

The previous prime is 34006122317. The next prime is 34006122377. The reversal of 34006122325 is 52322160043.

It is not a de Polignac number, because 34006122325 - 23 = 34006122317 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34006122293 and 34006122302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5637411 + ... + 5643439.

It is an arithmetic number, because the mean of its divisors is an integer number (1015403760).

Almost surely, 234006122325 is an apocalyptic number.

34006122325 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34006122325 is a deficient number, since it is larger than the sum of its proper divisors (14733258155).

34006122325 is a wasteful number, since it uses less digits than its factorization.

34006122325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6406 (or 6401 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 34006122325 its reverse (52322160043), we get a palindrome (86328282368).

The spelling of 34006122325 in words is "thirty-four billion, six million, one hundred twenty-two thousand, three hundred twenty-five".

Divisors: 1 5 7 25 35 167 175 193 835 965 1169 1351 4175 4825 5845 6029 6755 29225 30145 32231 33775 42203 150725 161155 211015 225617 805775 1006843 1055075 1128085 1163597 5034215 5640425 5817985 7047901 8145179 25171075 29089925 35239505 40725895 176197525 194320699 203629475 971603495 1360244893 4858017475 6801224465 34006122325