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384521364 = 223323914897
BaseRepresentation
bin10110111010110…
…101010010010100
3222210112201011000
4112322311102110
51241414140424
6102053343300
712346243353
oct2672652224
9883481130
10384521364
11188063657
12a8937b30
1361882146
14390d599a
1523b573c9
hex16eb5494

384521364 has 48 divisors (see below), whose sum is σ = 1001145600. Its totient is φ = 127628928.

The previous prime is 384521363. The next prime is 384521377. The reversal of 384521364 is 463125483.

384521364 is a `hidden beast` number, since 384 + 5 + 213 + 64 = 666.

384521364 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (384521363) 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, 18364 + ... + 33260.

It is an arithmetic number, because the mean of its divisors is an integer number (20857200).

Almost surely, 2384521364 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 384521364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500572800).

384521364 is an abundant number, since it is smaller than the sum of its proper divisors (616624236).

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

384521364 is a wasteful number, since it uses less digits than its factorization.

384521364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15149 (or 15141 counting only the distinct ones).

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

The square root of 384521364 is about 19609.2163025451. The cubic root of 384521364 is about 727.1770401970.

The spelling of 384521364 in words is "three hundred eighty-four million, five hundred twenty-one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 239 478 717 956 1434 2151 2868 4302 6453 8604 12906 14897 25812 29794 44691 59588 89382 134073 178764 268146 402219 536292 804438 1608876 3560383 7120766 10681149 14241532 21362298 32043447 42724596 64086894 96130341 128173788 192260682 384521364