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348634125 = 345374919
BaseRepresentation
bin10100110001111…
…011110000001101
3220022000110010000
4110301323300031
51203222243000
654332234513
711432225010
oct2461736015
9808013100
10348634125
11169881a84
129890ba39
13572c85a8
1434433377
1520919000
hex14c7bc0d

348634125 has 80 divisors (see below), whose sum is σ = 742959360. Its totient is φ = 159343200.

The previous prime is 348634087. The next prime is 348634151. The reversal of 348634125 is 521436843.

348634125 is a `hidden beast` number, since 3 + 4 + 8 + 634 + 12 + 5 = 666.

It is not a de Polignac number, because 348634125 - 26 = 348634061 is a prime.

It is a super-2 number, since 2×3486341252 = 243091506229031250, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 348634125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 68416 + ... + 73334.

It is an arithmetic number, because the mean of its divisors is an integer number (9286992).

Almost surely, 2348634125 is an apocalyptic number.

348634125 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

348634125 is an abundant number, since it is smaller than the sum of its proper divisors (394325235).

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

348634125 is an equidigital number, since it uses as much as digits as its factorization.

348634125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4953 (or 4934 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 348634125 is about 18671.7467045802. The cubic root of 348634125 is about 703.8119419833.

The spelling of 348634125 in words is "three hundred forty-eight million, six hundred thirty-four thousand, one hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 81 105 125 135 175 189 225 315 375 405 525 567 675 875 945 1125 1575 2025 2625 2835 3375 4725 4919 7875 10125 14175 14757 23625 24595 34433 44271 70875 73785 103299 122975 132813 172165 221355 309897 368925 398439 516495 614875 664065 860825 929691 1106775 1549485 1844625 1992195 2582475 2789073 3320325 4304125 4648455 5533875 7747425 9960975 12912375 13945365 16601625 23242275 38737125 49804875 69726825 116211375 348634125