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38863314 = 234743797
BaseRepresentation
bin1001010001000…
…0000111010010
32201010110110000
42110100013102
534422111224
63504550430
7651222060
oct224200722
981113400
1038863314
111aa34646
1211022416
138089359
145239030
15362a0c9
hex25101d2

38863314 has 80 divisors (see below), whose sum is σ = 101965248. Its totient is φ = 10831968.

The previous prime is 38863301. The next prime is 38863333. The reversal of 38863314 is 41336883.

It is a happy number.

38863314 is a `hidden beast` number, since 3 + 8 + 8 + 633 + 14 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 48364 + ... + 49160.

Almost surely, 238863314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38863314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50982624).

38863314 is an abundant number, since it is smaller than the sum of its proper divisors (63101934).

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

38863314 is a wasteful number, since it uses less digits than its factorization.

38863314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 852 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 38863314 is about 6234.0447544111. The cubic root of 38863314 is about 338.7245001071.

The spelling of 38863314 in words is "thirty-eight million, eight hundred sixty-three thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 43 54 63 81 86 126 129 162 189 258 301 378 387 567 602 774 797 903 1134 1161 1594 1806 2322 2391 2709 3483 4782 5418 5579 6966 7173 8127 11158 14346 16254 16737 21519 24381 33474 34271 43038 48762 50211 64557 68542 100422 102813 129114 150633 205626 239897 301266 308439 451899 479794 616878 719691 903798 925317 1439382 1850634 2159073 2775951 4318146 5551902 6477219 12954438 19431657 38863314