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380256300 = 2232521133739
BaseRepresentation
bin10110101010100…
…100000000101100
3222111112000120200
4112222210000230
51234321200200
6101422113500
712265060644
oct2652440054
9874460520
10380256300
11185710206
12a741b890
1360a1aa38
1438705524
15235b3800
hex16aa402c

380256300 has 108 divisors (see below), whose sum is σ = 1202761560. Its totient is φ = 100477440.

The previous prime is 380256299. The next prime is 380256301. The reversal of 380256300 is 3652083.

380256300 is a `hidden beast` number, since 3 + 8 + 0 + 25 + 630 + 0 = 666.

380256300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (380256299) and next prime (380256301).

It is not an unprimeable number, because it can be changed into a prime (380256301) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 99831 + ... + 103569.

Almost surely, 2380256300 is an apocalyptic number.

380256300 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 380256300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601380780).

380256300 is an abundant number, since it is smaller than the sum of its proper divisors (822505260).

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

380256300 is a wasteful number, since it uses less digits than its factorization.

380256300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3872 (or 3862 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 380256300 is about 19500.1615377924. The cubic root of 380256300 is about 724.4784516936.

The spelling of 380256300 in words is "three hundred eighty million, two hundred fifty-six thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 113 150 180 225 226 300 339 450 452 565 678 900 1017 1130 1356 1695 2034 2260 2825 3390 3739 4068 5085 5650 6780 7478 8475 10170 11217 11300 14956 16950 18695 20340 22434 25425 33651 33900 37390 44868 50850 56085 67302 74780 93475 101700 112170 134604 168255 186950 224340 280425 336510 373900 422507 560850 673020 841275 845014 1121700 1267521 1682550 1690028 2112535 2535042 3365100 3802563 4225070 5070084 6337605 7605126 8450140 10562675 12675210 15210252 19012815 21125350 25350420 31688025 38025630 42250700 63376050 76051260 95064075 126752100 190128150 380256300