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238080336 = 243131943467
BaseRepresentation
bin11100011000011…
…01000101010000
3121120222201211020
432030031011100
5441422032321
635342515440
75620435524
oct1614150520
9546881736
10238080336
1111243230a
1267895b80
133a42b150
1423895d84
1515d7c4c6
hexe30d150

238080336 has 160 divisors (see below), whose sum is σ = 714954240. Its totient is φ = 67640832.

The previous prime is 238080301. The next prime is 238080371. The reversal of 238080336 is 633080832.

It is an interprime number because it is at equal distance from previous prime (238080301) and next prime (238080371).

It is a junction number, because it is equal to n+sod(n) for n = 238080297 and 238080306.

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 31 ways as a sum of consecutive naturals, for example, 509575 + ... + 510041.

It is an arithmetic number, because the mean of its divisors is an integer number (4468464).

Almost surely, 2238080336 is an apocalyptic number.

238080336 is a gapful number since it is divisible by the number (26) 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 238080336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357477120).

238080336 is an abundant number, since it is smaller than the sum of its proper divisors (476873904).

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

238080336 is a wasteful number, since it uses less digits than its factorization.

238080336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 238080336 is about 15429.8521055777. The cubic root of 238080336 is about 619.7851631650.

The spelling of 238080336 in words is "two hundred thirty-eight million, eighty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 43 48 52 57 76 78 86 104 114 129 152 156 172 208 228 247 258 304 312 344 456 467 494 516 559 624 688 741 817 912 934 988 1032 1118 1401 1482 1634 1677 1868 1976 2064 2236 2451 2802 2964 3268 3354 3736 3952 4472 4902 5604 5928 6071 6536 6708 7472 8873 8944 9804 10621 11208 11856 12142 13072 13416 17746 18213 19608 20081 21242 22416 24284 26619 26832 31863 35492 36426 39216 40162 42484 48568 53238 60243 63726 70984 72852 80324 84968 97136 106476 115349 120486 127452 141968 145704 160648 169936 212952 230698 240972 254904 261053 291408 321296 346047 381539 425904 461396 481944 509808 522106 692094 763078 783159 922792 963888 1044212 1144617 1384188 1526156 1566318 1845584 2088424 2289234 2768376 3052312 3132636 4176848 4578468 4960007 5536752 6104624 6265272 9156936 9920014 12530544 14880021 18313872 19840028 29760042 39680056 59520084 79360112 119040168 238080336