Search a number
-
+
380828 = 22722967
BaseRepresentation
bin1011100111110011100
3201100101202
41130332130
544141303
612055032
73144200
oct1347634
9640352
10380828
11240138
12164478
13104456
149cb00
1577c88
hex5cf9c

380828 has 36 divisors (see below), whose sum is σ = 813960. Its totient is φ = 155232.

The previous prime is 380819. The next prime is 380837. The reversal of 380828 is 828083.

It is an interprime number because it is at equal distance from previous prime (380819) and next prime (380837).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a self number, because there is not a number n which added to its sum of digits gives 380828.

It is a congruent number.

It is an unprimeable number.

380828 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5651 + ... + 5717.

It is an arithmetic number, because the mean of its divisors is an integer number (22610).

2380828 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 380828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406980).

380828 is an abundant number, since it is smaller than the sum of its proper divisors (433132).

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

380828 is a wasteful number, since it uses less digits than its factorization.

380828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 380828 is about 617.1126315350. The cubic root of 380828 is about 72.4841344594.

The spelling of 380828 in words is "three hundred eighty thousand, eight hundred twenty-eight".

Divisors: 1 2 4 7 14 28 29 49 58 67 98 116 134 196 203 268 406 469 812 938 1421 1876 1943 2842 3283 3886 5684 6566 7772 13132 13601 27202 54404 95207 190414 380828