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381342784 = 2624412
BaseRepresentation
bin10110101110101…
…101010001000000
3222120120012221211
4112232231101000
51240110432114
6101501255504
712310234354
oct2656552100
9876505854
10381342784
11186292529
12a7864594
136100b424
1438909464
152372a6c4
hex16bad440

381342784 has 21 divisors (see below), whose sum is σ = 757037221. Its totient is φ = 190593280.

The previous prime is 381342751. The next prime is 381342823. The reversal of 381342784 is 487243183.

The square root of 381342784 is 19528.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 36869184 + 344473600 = 6072^2 + 18560^2 .

It is a super-3 number, since 3×3813427843 (a number of 27 digits) contains 333 as substring.

It is a Duffinian 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 2 ways as a sum of consecutive naturals, for example, 155004 + ... + 157444.

Almost surely, 2381342784 is an apocalyptic number.

381342784 is the 19528-th square number.

It is an amenable number.

381342784 is a deficient number, since it is larger than the sum of its proper divisors (375694437).

381342784 is an frugal number, since it uses more digits than its factorization.

381342784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4894 (or 2443 counting only the distinct ones).

The product of its digits is 129024, while the sum is 40.

The cubic root of 381342784 is about 725.1677988141.

The spelling of 381342784 in words is "three hundred eighty-one million, three hundred forty-two thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 2441 4882 9764 19528 39056 78112 156224 5958481 11916962 23833924 47667848 95335696 190671392 381342784