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352526130 = 232511973671
BaseRepresentation
bin10101000000110…
…001111100110010
3220120100011221100
4111000301330302
51210221314010
654551505230
711510264655
oct2500617462
9816304840
10352526130
11170aa0110
129a088216
135805bc58
1434b6789c
1520e372c0
hex15031f32

352526130 has 96 divisors (see below), whose sum is σ = 1010475648. Its totient is φ = 84556800.

The previous prime is 352526123. The next prime is 352526143. The reversal of 352526130 is 31625253.

352526130 is a `hidden beast` number, since 3 + 5 + 2 + 526 + 130 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 352526094 and 352526103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94195 + ... + 97865.

It is an arithmetic number, because the mean of its divisors is an integer number (10525788).

Almost surely, 2352526130 is an apocalyptic number.

352526130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 352526130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505237824).

352526130 is an abundant number, since it is smaller than the sum of its proper divisors (657949518).

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

352526130 is a wasteful number, since it uses less digits than its factorization.

352526130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3792 (or 3789 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 352526130 is about 18775.6792154106. The cubic root of 352526130 is about 706.4212764431.

The spelling of 352526130 in words is "three hundred fifty-two million, five hundred twenty-six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 97 99 110 165 194 198 291 330 485 495 582 873 970 990 1067 1455 1746 2134 2910 3201 3671 4365 5335 6402 7342 8730 9603 10670 11013 16005 18355 19206 22026 32010 33039 36710 40381 48015 55065 66078 80762 96030 110130 121143 165195 201905 242286 330390 356087 363429 403810 605715 712174 726858 1068261 1211430 1780435 1817145 2136522 3204783 3560870 3634290 3916957 5341305 6409566 7833914 10682610 11750871 16023915 19584785 23501742 32047830 35252613 39169570 58754355 70505226 117508710 176263065 352526130