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342071184 = 243713711103
BaseRepresentation
bin10100011000111…
…001011110010000
3212211200000110010
4110120321132100
51200032234214
653535434520
711322362040
oct2430713620
9784600403
10342071184
111660aa164
1296685a40
1355b3b2b0
1433605720
152006e659
hex14639790

342071184 has 160 divisors (see below), whose sum is σ = 1103929344. Its totient is φ = 88865280.

The previous prime is 342071141. The next prime is 342071201. The reversal of 342071184 is 481170243.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 309577 + ... + 310679.

Almost surely, 2342071184 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 342071184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551964672).

342071184 is an abundant number, since it is smaller than the sum of its proper divisors (761858160).

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

342071184 is a wasteful number, since it uses less digits than its factorization.

342071184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 342071184 is about 18495.1665037112. The cubic root of 342071184 is about 699.3675811908.

The spelling of 342071184 in words is "three hundred forty-two million, seventy-one thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 71 78 84 91 104 112 142 156 168 182 208 213 273 284 312 336 364 426 497 546 568 624 728 852 923 994 1092 1103 1136 1456 1491 1704 1846 1988 2184 2206 2769 2982 3309 3408 3692 3976 4368 4412 5538 5964 6461 6618 7384 7721 7952 8824 11076 11928 12922 13236 14339 14768 15442 17648 19383 22152 23163 23856 25844 26472 28678 30884 38766 43017 44304 46326 51688 52944 57356 61768 77532 78313 86034 92652 100373 103376 114712 123536 155064 156626 172068 185304 200746 229424 234939 301119 310128 313252 344136 370608 401492 469878 548191 602238 626504 688272 802984 939756 1018069 1096382 1204476 1253008 1605968 1644573 1879512 2036138 2192764 2408952 3054207 3289146 3759024 4072276 4385528 4817904 6108414 6578292 7126483 8144552 8771056 12216828 13156584 14252966 16289104 21379449 24433656 26313168 28505932 42758898 48867312 57011864 85517796 114023728 171035592 342071184