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380028 = 223112879
BaseRepresentation
bin1011100110001111100
3201022022010
41130301330
544130103
612051220
73141645
oct1346174
9638263
10380028
1123a580
12163b10
13103c8c
149c6cc
1577903
hex5cc7c

380028 has 24 divisors (see below), whose sum is σ = 967680. Its totient is φ = 115120.

The previous prime is 379999. The next prime is 380041. The reversal of 380028 is 820083.

It is a junction number, because it is equal to n+sod(n) for n = 379986 and 380013.

It is a congruent number.

It is an unprimeable number.

380028 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 7 ways as a sum of consecutive naturals, for example, 1308 + ... + 1571.

It is an arithmetic number, because the mean of its divisors is an integer number (40320).

2380028 is an apocalyptic number.

It is an amenable number.

380028 is an abundant number, since it is smaller than the sum of its proper divisors (587652).

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

380028 is a wasteful number, since it uses less digits than its factorization.

380028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2897 (or 2895 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 380028 is about 616.4641108775. The cubic root of 380028 is about 72.4333434116.

It can be divided in two parts, 3800 and 28, that added together give a triangular number (3828 = T87).

The spelling of 380028 in words is "three hundred eighty thousand, twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 2879 5758 8637 11516 17274 31669 34548 63338 95007 126676 190014 380028