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381327104 = 286124419
BaseRepresentation
bin10110101110101…
…001011100000000
3222120112102110002
4112232221130000
51240104431404
6101501055132
712310140554
oct2656513400
9876472402
10381327104
11186281774
12a78574a8
1361004252
1438903864
1523725c1e
hex16ba9700

381327104 has 36 divisors (see below), whose sum is σ = 773674440. Its totient is φ = 187530240.

The previous prime is 381327077. The next prime is 381327109. The reversal of 381327104 is 401723183.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381327109) 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 3 ways as a sum of consecutive naturals, for example, 3407 + ... + 27825.

Almost surely, 2381327104 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 381327104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386837220).

381327104 is an abundant number, since it is smaller than the sum of its proper divisors (392347336).

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

381327104 is an equidigital number, since it uses as much as digits as its factorization.

381327104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24496 (or 24482 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 381327104 is about 19527.5985210676. The cubic root of 381327104 is about 725.1578595614.

The spelling of 381327104 in words is "three hundred eighty-one million, three hundred twenty-seven thousand, one hundred four".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 256 488 976 1952 3904 7808 15616 24419 48838 97676 195352 390704 781408 1489559 1562816 2979118 3125632 5958236 6251264 11916472 23832944 47665888 95331776 190663552 381327104