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384060 = 223537173
BaseRepresentation
bin1011101110000111100
3201111211110
41131300330
544242220
612122020
73156465
oct1356074
9644743
10384060
11242606
12166310
13105a71
149dd6c
1578be0
hex5dc3c

384060 has 48 divisors (see below), whose sum is σ = 1110816. Its totient is φ = 99072.

The previous prime is 384049. The next prime is 384061. The reversal of 384060 is 60483.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384061) by changing a digit.

384060 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 15 ways as a sum of consecutive naturals, for example, 2134 + ... + 2306.

It is an arithmetic number, because the mean of its divisors is an integer number (23142).

2384060 is an apocalyptic number.

384060 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555408).

384060 is an abundant number, since it is smaller than the sum of its proper divisors (726756).

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

384060 is a wasteful number, since it uses less digits than its factorization.

384060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 384060 is about 619.7257457941. The cubic root of 384060 is about 72.6886091840.

It can be divided in two parts, 3840 and 60, that multiplied together give a square (230400 = 4802).

The spelling of 384060 in words is "three hundred eighty-four thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 173 185 222 346 370 444 519 555 692 740 865 1038 1110 1730 2076 2220 2595 3460 5190 6401 10380 12802 19203 25604 32005 38406 64010 76812 96015 128020 192030 384060