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342202112 = 2871747239
BaseRepresentation
bin10100011001011…
…001011100000000
3212211220200001022
4110121121130000
51200100431422
653542325012
711323445540
oct2431313400
9784820038
10342202112
1116618956a
1296729768
1355b85a75
143363b320
1520098342
hex14659700

342202112 has 144 divisors (see below), whose sum is σ = 847687680. Its totient is φ = 134529024.

The previous prime is 342202109. The next prime is 342202123. The reversal of 342202112 is 211202243.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1431689 + ... + 1431927.

It is an arithmetic number, because the mean of its divisors is an integer number (5886720).

Almost surely, 2342202112 is an apocalyptic number.

342202112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423843840).

342202112 is an abundant number, since it is smaller than the sum of its proper divisors (505485568).

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

342202112 is a wasteful number, since it uses less digits than its factorization.

342202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 342202112 is about 18498.7056844526. The cubic root of 342202112 is about 699.4567976298.

Adding to 342202112 its reverse (211202243), we get a palindrome (553404355).

The spelling of 342202112 in words is "three hundred forty-two million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 47 56 64 68 94 112 119 128 136 188 224 238 239 256 272 329 376 448 476 478 544 658 752 799 896 952 956 1088 1316 1504 1598 1673 1792 1904 1912 2176 2632 3008 3196 3346 3808 3824 4063 4352 5264 5593 6016 6392 6692 7616 7648 8126 10528 11186 11233 12032 12784 13384 15232 15296 16252 21056 22372 22466 25568 26768 28441 30464 30592 32504 42112 44744 44932 51136 53536 56882 61184 65008 78631 84224 89488 89864 102272 107072 113764 130016 157262 178976 179728 190961 204544 214144 227528 260032 314524 357952 359456 381922 428288 455056 520064 629048 715904 718912 763844 910112 1040128 1258096 1336727 1431808 1437824 1527688 1820224 2516192 2673454 2875648 3055376 3640448 5032384 5346908 6110752 7280896 10064768 10693816 12221504 20129536 21387632 24443008 42775264 48886016 85550528 171101056 342202112