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380282300 = 225237791301
BaseRepresentation
bin10110101010101…
…010010110111100
3222111120100020122
4112222222112330
51234323013200
6101422434112
712265226516
oct2652522674
9874510218
10380282300
111857287a2
12a7432938
1360a29818
1438710bb6
15235bb385
hex16aaa5bc

380282300 has 72 divisors (see below), whose sum is σ = 858903360. Its totient is φ = 146016000.

The previous prime is 380282293. The next prime is 380282327. The reversal of 380282300 is 3282083.

It is a super-2 number, since 2×3802823002 = 289229255386580000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 380282300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 291650 + ... + 292950.

Almost surely, 2380282300 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 380282300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429451680).

380282300 is an abundant number, since it is smaller than the sum of its proper divisors (478621060).

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

380282300 is a wasteful number, since it uses less digits than its factorization.

380282300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1431 (or 1424 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 380282300 is about 19500.8281875412. The cubic root of 380282300 is about 724.4949633731.

The spelling of 380282300 in words is "three hundred eighty million, two hundred eighty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 79 100 148 158 185 316 370 395 740 790 925 1301 1580 1850 1975 2602 2923 3700 3950 5204 5846 6505 7900 11692 13010 14615 26020 29230 32525 48137 58460 65050 73075 96274 102779 130100 146150 192548 205558 240685 292300 411116 481370 513895 962740 1027790 1203425 2055580 2406850 2569475 3802823 4813700 5138950 7605646 10277900 15211292 19014115 38028230 76056460 95070575 190141150 380282300