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381317888 = 2871712517
BaseRepresentation
bin10110101110100…
…111001100000000
3222120111221210202
4112232213030000
51240104133023
6101500544332
712310101650
oct2656471400
9876457722
10381317888
11186275856
12a78520a8
1360ccccb3
1438900360
1523723128
hex16ba7300

381317888 has 72 divisors (see below), whose sum is σ = 921124512. Its totient is φ = 153796608.

The previous prime is 381317873. The next prime is 381317891. The reversal of 381317888 is 888713183.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

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 7 ways as a sum of consecutive naturals, for example, 24206 + ... + 36722.

It is an arithmetic number, because the mean of its divisors is an integer number (12793396).

Almost surely, 2381317888 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 381317888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460562256).

381317888 is an abundant number, since it is smaller than the sum of its proper divisors (539806624).

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

381317888 is a wasteful number, since it uses less digits than its factorization.

381317888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12557 (or 12543 counting only the distinct ones).

The product of its digits is 258048, while the sum is 47.

The square root of 381317888 is about 19527.3625459251. The cubic root of 381317888 is about 725.1520175877.

The spelling of 381317888 in words is "three hundred eighty-one million, three hundred seventeen thousand, eight hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 256 272 448 476 544 896 952 1088 1792 1904 2176 3808 4352 7616 12517 15232 25034 30464 50068 87619 100136 175238 200272 212789 350476 400544 425578 700952 801088 851156 1401904 1489523 1602176 1702312 2803808 2979046 3204352 3404624 5607616 5958092 6809248 11215232 11916184 13618496 22430464 23832368 27236992 47664736 54473984 95329472 190658944 381317888