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34130124324 = 22321723280481
BaseRepresentation
bin11111110010010100…
…000101111000100100
310021002120211221211200
4133302110011320210
51024344302434244
623402411002500
72315530161432
oct376224057044
9107076757750
1034130124324
111352462461a
126746139430
1332abc46a4a
14191ab91d52
15d4b504669
hex7f2505e24

34130124324 has 54 divisors (see below), whose sum is σ = 91646825634. Its totient is φ = 10707486720.

The previous prime is 34130124319. The next prime is 34130124361. The reversal of 34130124324 is 42342103143.

34130124324 is a `hidden beast` number, since 3 + 413 + 0 + 1 + 243 + 2 + 4 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 4831640100 + 29298484224 = 69510^2 + 171168^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1629837 + ... + 1650644.

Almost surely, 234130124324 is an apocalyptic number.

34130124324 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

34130124324 is an abundant number, since it is smaller than the sum of its proper divisors (57516701310).

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

34130124324 is a wasteful number, since it uses less digits than its factorization.

34130124324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3280525 (or 3280503 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 34130124324 its reverse (42342103143), we get a palindrome (76472227467).

The spelling of 34130124324 in words is "thirty-four billion, one hundred thirty million, one hundred twenty-four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 289 306 578 612 867 1156 1734 2601 3468 5202 10404 3280481 6560962 9841443 13121924 19682886 29524329 39365772 55768177 59048658 111536354 118097316 167304531 223072708 334609062 501913593 669218124 948059009 1003827186 1896118018 2007654372 2844177027 3792236036 5688354054 8532531081 11376708108 17065062162 34130124324