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348005112 = 233713792017
BaseRepresentation
bin10100101111100…
…010001011111000
3220020211111021020
4110233202023320
51203042130422
654310542440
711423665110
oct2457421370
9806744236
10348005112
11169492434
1298667a20
13571381b0
143430c040
152084295c
hex14be22f8

348005112 has 128 divisors (see below), whose sum is σ = 1084876800. Its totient is φ = 90574848.

The previous prime is 348005093. The next prime is 348005179. The reversal of 348005112 is 211500843.

348005112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3480051122 = 242215115956265088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171528 + ... + 173544.

It is an arithmetic number, because the mean of its divisors is an integer number (8475600).

Almost surely, 2348005112 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 348005112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542438400).

348005112 is an abundant number, since it is smaller than the sum of its proper divisors (736871688).

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

348005112 is a wasteful number, since it uses less digits than its factorization.

348005112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2125 (or 2121 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 348005112 is about 18654.8951216564. The cubic root of 348005112 is about 703.3884097438.

Adding to 348005112 its reverse (211500843), we get a palindrome (559505955).

The spelling of 348005112 in words is "three hundred forty-eight million, five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 79 84 91 104 156 158 168 182 237 273 312 316 364 474 546 553 632 728 948 1027 1092 1106 1659 1896 2017 2054 2184 2212 3081 3318 4034 4108 4424 6051 6162 6636 7189 8068 8216 12102 12324 13272 14119 14378 16136 21567 24204 24648 26221 28238 28756 42357 43134 48408 52442 56476 57512 78663 84714 86268 104884 112952 157326 159343 169428 172536 183547 209768 314652 318686 338856 367094 478029 550641 629304 637372 734188 956058 1101282 1115401 1274744 1468376 1912116 2071459 2202564 2230802 3346203 3824232 4142918 4405128 4461604 6214377 6692406 8285836 8923208 12428754 13384812 14500213 16571672 24857508 26769624 29000426 43500639 49715016 58000852 87001278 116001704 174002556 348005112