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342762112 = 2771183419
BaseRepresentation
bin10100011011100…
…010001010000000
3212212222010020001
4110123202022000
51200221341422
654002325344
711331300310
oct2433421200
9785863201
10342762112
11166531280
1296959854
1356020924
1433745440
1520159227
hex146e2280

342762112 has 128 divisors (see below), whose sum is σ = 863654400. Its totient is φ = 131619840.

The previous prime is 342762097. The next prime is 342762149. The reversal of 342762112 is 211267243.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 817839 + ... + 818257.

It is an arithmetic number, because the mean of its divisors is an integer number (6747300).

Almost surely, 2342762112 is an apocalyptic number.

342762112 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 342762112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431827200).

342762112 is an abundant number, since it is smaller than the sum of its proper divisors (520892288).

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

342762112 is a wasteful number, since it uses less digits than its factorization.

342762112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 522 counting only the distinct ones).

The product of its digits is 4032, while the sum is 28.

The square root of 342762112 is about 18513.8356911797. The cubic root of 342762112 is about 699.8381340020.

The spelling of 342762112 in words is "three hundred forty-two million, seven hundred sixty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 83 88 112 128 154 166 176 224 308 332 352 419 448 581 616 664 704 838 896 913 1162 1232 1328 1408 1676 1826 2324 2464 2656 2933 3352 3652 4609 4648 4928 5312 5866 6391 6704 7304 9218 9296 9856 10624 11732 12782 13408 14608 18436 18592 23464 25564 26816 29216 32263 34777 36872 37184 46928 51128 53632 58432 64526 69554 73744 74368 93856 102256 116864 129052 139108 147488 187712 204512 243439 258104 278216 294976 375424 382547 409024 486878 516208 556432 589952 765094 818048 973756 1032416 1112864 1530188 1947512 2064832 2225728 2677829 3060376 3895024 4129664 4451456 5355658 6120752 7790048 10711316 12241504 15580096 21422632 24483008 31160192 42845264 48966016 85690528 171381056 342762112