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380231820 = 223758693
BaseRepresentation
bin10110101010011…
…110000010001100
3222111110210000000
4112222132002030
51234314404240
6101421404300
712264626403
oct2652360214
9874423000
10380231820
111856a3881
12a7409690
1360a0c857
14386da63a
15235ab430
hex16a9e08c

380231820 has 96 divisors (see below), whose sum is σ = 1197685440. Its totient is φ = 101383488.

The previous prime is 380231807. The next prime is 380231899. The reversal of 380231820 is 28132083.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 39394 + ... + 48086.

It is an arithmetic number, because the mean of its divisors is an integer number (12475890).

Almost surely, 2380231820 is an apocalyptic number.

380231820 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 380231820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598842720).

380231820 is an abundant number, since it is smaller than the sum of its proper divisors (817453620).

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

380231820 is an equidigital number, since it uses as much as digits as its factorization.

380231820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8723 (or 8703 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 380231820 is about 19499.5338405819. The cubic root of 380231820 is about 724.4629046244.

The spelling of 380231820 in words is "three hundred eighty million, two hundred thirty-one thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 729 810 972 1215 1458 1620 2187 2430 2916 3645 4374 4860 7290 8693 8748 10935 14580 17386 21870 26079 34772 43465 43740 52158 78237 86930 104316 130395 156474 173860 234711 260790 312948 391185 469422 521580 704133 782370 938844 1173555 1408266 1564740 2112399 2347110 2816532 3520665 4224798 4694220 6337197 7041330 8449596 10561995 12674394 14082660 19011591 21123990 25348788 31685985 38023182 42247980 63371970 76046364 95057955 126743940 190115910 380231820