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381666132 = 2232471911181
BaseRepresentation
bin10110101111111…
…100001101010100
3222121011122111200
4112233330031110
51240201304012
6101512232500
712313052151
oct2657741524
9877148450
10381666132
11186493461
12a799b730
13610c2663
1438991228
15237913dc
hex16bfc354

381666132 has 72 divisors (see below), whose sum is σ = 991291392. Its totient is φ = 123758400.

The previous prime is 381666113. The next prime is 381666169. The reversal of 381666132 is 231666183.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 322582 + ... + 323762.

It is an arithmetic number, because the mean of its divisors is an integer number (13767936).

Almost surely, 2381666132 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 381666132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495645696).

381666132 is an abundant number, since it is smaller than the sum of its proper divisors (609625260).

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

381666132 is a wasteful number, since it uses less digits than its factorization.

381666132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429 (or 1424 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 381666132 is about 19536.2773321838. The cubic root of 381666132 is about 725.3727022279.

The spelling of 381666132 in words is "three hundred eighty-one million, six hundred sixty-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 191 282 382 423 564 573 764 846 1146 1181 1692 1719 2292 2362 3438 3543 4724 6876 7086 8977 10629 14172 17954 21258 26931 35908 42516 53862 55507 80793 107724 111014 161586 166521 222028 225571 323172 333042 451142 499563 666084 676713 902284 999126 1353426 1998252 2030139 2706852 4060278 8120556 10601837 21203674 31805511 42407348 63611022 95416533 127222044 190833066 381666132