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348027255468 = 2232193591417303
BaseRepresentation
bin1010001000010000000…
…10100111101010101100
31020021022121200101121200
411010020002213222230
521200224434133333
6423514223525500
734100303601324
oct5041002475254
91207277611550
10348027255468
11124663349172
1257549759890
1326a84c77c79
1412bb7870284
1590bdc76c13
hex51080a7aac

348027255468 has 72 divisors (see below), whose sum is σ = 928617580800. Its totient is φ = 109597129056.

The previous prime is 348027255461. The next prime is 348027255493. The reversal of 348027255468 is 864552720843.

348027255468 is a `hidden beast` number, since 3 + 4 + 8 + 0 + 27 + 2 + 554 + 68 = 666.

It is a super-2 number, since 2×3480272554682 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (348027255461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 463096 + ... + 954207.

It is an arithmetic number, because the mean of its divisors is an integer number (12897466400).

Almost surely, 2348027255468 is an apocalyptic number.

348027255468 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

348027255468 is an abundant number, since it is smaller than the sum of its proper divisors (580590325332).

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

348027255468 is a wasteful number, since it uses less digits than its factorization.

348027255468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417691 (or 1417686 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 348027255468 in words is "three hundred forty-eight billion, twenty-seven million, two hundred fifty-five thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 359 684 718 1077 1436 2154 3231 4308 6462 6821 12924 13642 20463 27284 40926 61389 81852 122778 245556 1417303 2834606 4251909 5669212 8503818 12755727 17007636 25511454 26928757 51022908 53857514 80786271 107715028 161572542 242358813 323145084 484717626 508811777 969435252 1017623554 1526435331 2035247108 3052870662 4579305993 6105741324 9158611986 9667423763 18317223972 19334847526 29002271289 38669695052 58004542578 87006813867 116009085156 174013627734 348027255468