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348438040 = 23523467811
BaseRepresentation
bin10100110001001…
…011111000011000
3220021122111010121
4110301023320120
51203200004130
654324123024
711430450226
oct2461137030
9807574117
10348438040
11169758725
1298836474
135725a272
14343c1b16
15208cad7a
hex14c4be18

348438040 has 64 divisors (see below), whose sum is σ = 820834560. Its totient is φ = 132865920.

The previous prime is 348438029. The next prime is 348438043. The reversal of 348438040 is 40834843.

It is a junction number, because it is equal to n+sod(n) for n = 348437987 and 348438005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348438043) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 429235 + ... + 430045.

It is an arithmetic number, because the mean of its divisors is an integer number (12825540).

Almost surely, 2348438040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348438040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410417280).

348438040 is an abundant number, since it is smaller than the sum of its proper divisors (472396520).

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

348438040 is a wasteful number, since it uses less digits than its factorization.

348438040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The square root of 348438040 is about 18666.4951182593. The cubic root of 348438040 is about 703.6799670978.

The spelling of 348438040 in words is "three hundred forty-eight million, four hundred thirty-eight thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 467 811 920 934 1622 1868 2335 3244 3736 4055 4670 6488 8110 9340 10741 16220 18653 18680 21482 32440 37306 42964 53705 74612 85928 93265 107410 149224 186530 214820 373060 378737 429640 746120 757474 1514948 1893685 3029896 3787370 7574740 8710951 15149480 17421902 34843804 43554755 69687608 87109510 174219020 348438040