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384054 = 23112232
BaseRepresentation
bin1011101110000110110
3201111211020
41131300312
544242204
612122010
73156456
oct1356066
9644736
10384054
11242600
12166306
13105a68
149dd66
1578bd9
hex5dc36

384054 has 36 divisors (see below), whose sum is σ = 882588. Its totient is φ = 111320.

The previous prime is 384049. The next prime is 384061. The reversal of 384054 is 450483.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 16687 + ... + 16709.

2384054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441294).

384054 is an abundant number, since it is smaller than the sum of its proper divisors (498534).

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

384054 is a wasteful number, since it uses less digits than its factorization.

384054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 384054 is about 619.7209049241. The cubic root of 384054 is about 72.6882306547.

Multiplying 384054 by its sum of digits (24), we get a square (9217296 = 30362).

The spelling of 384054 in words is "three hundred eighty-four thousand, fifty-four".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 121 138 242 253 363 506 529 726 759 1058 1518 1587 2783 3174 5566 5819 8349 11638 16698 17457 34914 64009 128018 192027 384054