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382644405 = 34511136607
BaseRepresentation
bin10110110011101…
…011000010110101
3222200000100110000
4112303223002311
51240424110110
6101545221513
712324265233
oct2663530265
9880010400
10382644405
11186aa1450
12a8191899
1361375a10
1438b67953
15238d61c0
hex16ceb0b5

382644405 has 80 divisors (see below), whose sum is σ = 805964544. Its totient is φ = 171227520.

The previous prime is 382644397. The next prime is 382644407. The reversal of 382644405 is 504446283.

382644405 is a `hidden beast` number, since 3 + 8 + 2 + 644 + 4 + 0 + 5 = 666.

It is not a de Polignac number, because 382644405 - 23 = 382644397 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 382644405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382644407) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 54612 + ... + 61218.

Almost surely, 2382644405 is an apocalyptic number.

It is an amenable number.

382644405 is an abundant number, since it is smaller than the sum of its proper divisors (423320139).

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

382644405 is a wasteful number, since it uses less digits than its factorization.

382644405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6648 (or 6639 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 382644405 is about 19561.2986532081. The cubic root of 382644405 is about 725.9919232760.

The spelling of 382644405 in words is "three hundred eighty-two million, six hundred forty-four thousand, four hundred five".

Divisors: 1 3 5 9 11 13 15 27 33 39 45 55 65 81 99 117 135 143 165 195 297 351 405 429 495 585 715 891 1053 1287 1485 1755 2145 3861 4455 5265 6435 6607 11583 19305 19821 33035 57915 59463 72677 85891 99105 178389 218031 257673 297315 363385 429455 535167 654093 773019 891945 944801 1090155 1288365 1962279 2319057 2675835 2834403 3270465 3865095 4724005 5886837 6957171 8503209 9811395 11595285 14172015 25509627 29434185 34785855 42516045 76528881 127548135 382644405