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382858368 = 2732367647
BaseRepresentation
bin10110110100011…
…111010010000000
3222200102012221120
4112310133102000
51241002431433
6101553552240
712326146104
oct2664372200
9880365846
10382858368
11187128182
12a8275680
136141c219
1438bc1904
15239297b3
hex16d1f480

382858368 has 128 divisors (see below), whose sum is σ = 1078686720. Its totient is φ = 120062976.

The previous prime is 382858367. The next prime is 382858393. The reversal of 382858368 is 863858283.

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

It is a self number, because there is not a number n which added to its sum of digits gives 382858368.

It is not an unprimeable number, because it can be changed into a prime (382858367) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 591421 + ... + 592067.

It is an arithmetic number, because the mean of its divisors is an integer number (8427240).

Almost surely, 2382858368 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 382858368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539343360).

382858368 is an abundant number, since it is smaller than the sum of its proper divisors (695828352).

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

382858368 is a wasteful number, since it uses less digits than its factorization.

382858368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 742 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 51.

The square root of 382858368 is about 19566.7669276250. The cubic root of 382858368 is about 726.1272155247.

The spelling of 382858368 in words is "three hundred eighty-two million, eight hundred fifty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 67 69 92 96 128 134 138 184 192 201 268 276 368 384 402 536 552 647 736 804 1072 1104 1294 1472 1541 1608 1941 2144 2208 2588 2944 3082 3216 3882 4288 4416 4623 5176 6164 6432 7764 8576 8832 9246 10352 12328 12864 14881 15528 18492 20704 24656 25728 29762 31056 36984 41408 43349 44643 49312 59524 62112 73968 82816 86698 89286 98624 119048 124224 130047 147936 173396 178572 197248 238096 248448 260094 295872 346792 357144 476192 520188 591744 693584 714288 952384 997027 1040376 1387168 1428576 1904768 1994054 2080752 2774336 2857152 2991081 3988108 4161504 5548672 5714304 5982162 7976216 8323008 11964324 15952432 16646016 23928648 31904864 47857296 63809728 95714592 127619456 191429184 382858368