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381820384 = 25117971361
BaseRepresentation
bin10110110000100…
…001110111100000
3222121110111002201
4112300201313200
51240221223014
6101515422544
712314263651
oct2660416740
9877414081
10381820384
11186589340
12a7a54a54
136114792a
14389d1528
15237c1e74
hex16c21de0

381820384 has 48 divisors (see below), whose sum is σ = 821678256. Its totient is φ = 173209600.

The previous prime is 381820343. The next prime is 381820399. The reversal of 381820384 is 483028183.

It is a congruent number.

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, 279864 + ... + 281224.

It is an arithmetic number, because the mean of its divisors is an integer number (17118297).

Almost surely, 2381820384 is an apocalyptic number.

It is an amenable number.

381820384 is an abundant number, since it is smaller than the sum of its proper divisors (439857872).

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

381820384 is a wasteful number, since it uses less digits than its factorization.

381820384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2179 (or 2171 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 381820384 is about 19540.2247684104. The cubic root of 381820384 is about 725.4704098930.

The spelling of 381820384 in words is "three hundred eighty-one million, eight hundred twenty thousand, three hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 797 1361 1594 2722 3188 5444 6376 8767 10888 12752 14971 17534 21776 25504 29942 35068 43552 59884 70136 119768 140272 239536 280544 479072 1084717 2169434 4338868 8677736 11931887 17355472 23863774 34710944 47727548 95455096 190910192 381820384