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382181364 = 223210616149
BaseRepresentation
bin10110110001111…
…001111111110100
3222122010211021100
4112301321333310
51240314300424
6101531250100
712320326245
oct2661717764
9878124240
10382181364
11186805574
12a7ba9930
1361243026
1438a86ccc
1523843dc9
hex16c79ff4

382181364 has 18 divisors (see below), whose sum is σ = 966069650. Its totient is φ = 127393776.

The previous prime is 382181351. The next prime is 382181383. The reversal of 382181364 is 463181283.

It can be written as a sum of positive squares in only one way, i.e., 381889764 + 291600 = 19542^2 + 540^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 10616149 = 382181364 / (3 + 8 + 2 + 1 + 8 + 1 + 3 + 6 + 4).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5308039 + ... + 5308110.

Almost surely, 2382181364 is an apocalyptic number.

It is an amenable number.

382181364 is an abundant number, since it is smaller than the sum of its proper divisors (583888286).

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

382181364 is a wasteful number, since it uses less digits than its factorization.

382181364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10616159 (or 10616154 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 382181364 is about 19549.4594298666. The cubic root of 382181364 is about 725.6989622298.

The spelling of 382181364 in words is "three hundred eighty-two million, one hundred eighty-one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 10616149 21232298 31848447 42464596 63696894 95545341 127393788 191090682 382181364