Search a number
-
+
382520664 = 23339718257
BaseRepresentation
bin10110110011001…
…100110101011000
3222122210001201000
4112303030311120
51240411130124
6101542425000
712323241411
oct2663146530
9878701630
10382520664
11186a17489
12a8132160
13613315b6
1438b34808
15238ae6c9
hex16cccd58

382520664 has 64 divisors (see below), whose sum is σ = 1073570400. Its totient is φ = 126185472.

The previous prime is 382520653. The next prime is 382520669. The reversal of 382520664 is 466025283.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382520669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11824 + ... + 30080.

Almost surely, 2382520664 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 382520664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536785200).

382520664 is an abundant number, since it is smaller than the sum of its proper divisors (691049736).

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

382520664 is a wasteful number, since it uses less digits than its factorization.

382520664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18369 (or 18359 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 382520664 is about 19558.1354939575. The cubic root of 382520664 is about 725.9136568309.

The spelling of 382520664 in words is "three hundred eighty-two million, five hundred twenty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 97 108 194 216 291 388 582 776 873 1164 1746 2328 2619 3492 5238 6984 10476 18257 20952 36514 54771 73028 109542 146056 164313 219084 328626 438168 492939 657252 985878 1314504 1770929 1971756 3541858 3943512 5312787 7083716 10625574 14167432 15938361 21251148 31876722 42502296 47815083 63753444 95630166 127506888 191260332 382520664