Search a number
-
+
380223828 = 223310932299
BaseRepresentation
bin10110101010011…
…100000101010100
3222111110101001000
4112222130011110
51234314130303
6101421303300
712264564165
oct2652340524
9874411030
10380223828
11185698876
12a7404b30
1360a0901a
14386d776c
15235a8da3
hex16a9c154

380223828 has 48 divisors (see below), whose sum is σ = 994840000. Its totient is φ = 125574624.

The previous prime is 380223827. The next prime is 380223847. The reversal of 380223828 is 828322083.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 380223792 and 380223801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380223827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4378 + ... + 27921.

Almost surely, 2380223828 is an apocalyptic number.

It is an amenable number.

380223828 is an abundant number, since it is smaller than the sum of its proper divisors (614616172).

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

380223828 is a wasteful number, since it uses less digits than its factorization.

380223828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32421 (or 32413 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 380223828 is about 19499.3289115292. The cubic root of 380223828 is about 724.4578288190.

The spelling of 380223828 in words is "three hundred eighty million, two hundred twenty-three thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 109 218 327 436 654 981 1308 1962 2943 3924 5886 11772 32299 64598 96897 129196 193794 290691 387588 581382 872073 1162764 1744146 3488292 3520591 7041182 10561773 14082364 21123546 31685319 42247092 63370638 95055957 126741276 190111914 380223828