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380041900 = 225271673251
BaseRepresentation
bin10110101001101…
…111101010101100
3222111010010110221
4112221233222230
51234242320100
6101413341124
712263205610
oct2651575254
9874103427
10380041900
11185584117
12a73377a4
1360974284
143868b340
152357001a
hex16a6faac

380041900 has 72 divisors (see below), whose sum is σ = 948439296. Its totient is φ = 129480000.

The previous prime is 380041877. The next prime is 380041901. The reversal of 380041900 is 9140083.

It is a super-2 number, since 2×3800419002 = 288863691511220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (380041901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115275 + ... + 118525.

It is an arithmetic number, because the mean of its divisors is an integer number (13172768).

Almost surely, 2380041900 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 380041900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474219648).

380041900 is an abundant number, since it is smaller than the sum of its proper divisors (568397396).

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

380041900 is a wasteful number, since it uses less digits than its factorization.

380041900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3439 (or 3432 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 380041900 is about 19494.6633723181. The cubic root of 380041900 is about 724.3422651425.

Adding to 380041900 its reverse (9140083), we get a palindrome (389181983).

The spelling of 380041900 in words is "three hundred eighty million, forty-one thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 167 175 334 350 668 700 835 1169 1670 2338 3251 3340 4175 4676 5845 6502 8350 11690 13004 16255 16700 22757 23380 29225 32510 45514 58450 65020 81275 91028 113785 116900 162550 227570 325100 455140 542917 568925 1085834 1137850 2171668 2275700 2714585 3800419 5429170 7600838 10858340 13572925 15201676 19002095 27145850 38004190 54291700 76008380 95010475 190020950 380041900