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381184380 = 22355411913
BaseRepresentation
bin10110101110000…
…110100101111100
3222120021011200000
4112232012211330
51240040400010
6101454034300
712306004503
oct2656064574
9876234600
10381184380
11186194515
12a77a8990
1360c842b5
14388a783a
15236e87c0
hex16b8697c

381184380 has 144 divisors (see below), whose sum is σ = 1228971744. Its totient is φ = 99118080.

The previous prime is 381184361. The next prime is 381184393. The reversal of 381184380 is 83481183.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 198304 + ... + 200216.

It is an arithmetic number, because the mean of its divisors is an integer number (8534526).

Almost surely, 2381184380 is an apocalyptic number.

381184380 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 381184380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614485872).

381184380 is an abundant number, since it is smaller than the sum of its proper divisors (847787364).

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

381184380 is a wasteful number, since it uses less digits than its factorization.

381184380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1978 (or 1964 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 381184380 is about 19523.9437614433. The cubic root of 381184380 is about 725.0673770121.

The spelling of 381184380 in words is "three hundred eighty-one million, one hundred eighty-four thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 41 45 54 60 81 82 90 108 123 135 162 164 180 205 243 246 270 324 369 405 410 486 492 540 615 738 810 820 972 1107 1215 1230 1476 1620 1845 1913 2214 2430 2460 3321 3690 3826 4428 4860 5535 5739 6642 7380 7652 9565 9963 11070 11478 13284 16605 17217 19130 19926 22140 22956 28695 33210 34434 38260 39852 49815 51651 57390 66420 68868 78433 86085 99630 103302 114780 154953 156866 172170 199260 206604 235299 258255 309906 313732 344340 392165 464859 470598 516510 619812 705897 774765 784330 929718 941196 1033020 1176495 1411794 1549530 1568660 1859436 2117691 2324295 2352990 2823588 3099060 3529485 4235382 4648590 4705980 6353073 7058970 8470764 9297180 10588455 12706146 14117940 19059219 21176910 25412292 31765365 38118438 42353820 63530730 76236876 95296095 127061460 190592190 381184380