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348813808 = 24783157239
BaseRepresentation
bin10100110010100…
…111100111110000
3220022100120120221
4110302213213300
51203244020213
654340142424
711433603610
oct2462474760
9808316527
10348813808
11169994a82
1298997a14
135735c305
143447ca40
152095238d
hex14ca79f0

348813808 has 80 divisors (see below), whose sum is σ = 789949440. Its totient is φ = 146135808.

The previous prime is 348813793. The next prime is 348813811. The reversal of 348813808 is 808318843.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1459353 + ... + 1459591.

It is an arithmetic number, because the mean of its divisors is an integer number (9874368).

Almost surely, 2348813808 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 348813808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394974720).

348813808 is an abundant number, since it is smaller than the sum of its proper divisors (441135632).

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

348813808 is a wasteful number, since it uses less digits than its factorization.

348813808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 43.

The square root of 348813808 is about 18676.5577128121. The cubic root of 348813808 is about 703.9328340708.

The spelling of 348813808 in words is "three hundred forty-eight million, eight hundred thirteen thousand, eight hundred eight".

Divisors: 1 2 4 7 8 14 16 28 56 83 112 157 166 239 314 332 478 581 628 664 956 1099 1162 1256 1328 1673 1912 2198 2324 2512 3346 3824 4396 4648 6692 8792 9296 13031 13384 17584 19837 26062 26768 37523 39674 52124 75046 79348 91217 104248 138859 150092 158696 182434 208496 262661 277718 300184 317392 364868 525322 555436 600368 729736 1050644 1110872 1459472 2101288 2221744 3114409 4202576 6228818 12457636 21800863 24915272 43601726 49830544 87203452 174406904 348813808