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381999360 = 2835313209
BaseRepresentation
bin10110110001001…
…101100100000000
3222121210120121110
4112301031210000
51240242434420
6101523323320
712315640521
oct2661154400
9877716543
10381999360
111866a0856
12a7b20540
13611ab232
1438a3a848
1523809ee0
hex16c4d900

381999360 has 144 divisors (see below), whose sum is σ = 1259758080. Its totient is φ = 98549760.

The previous prime is 381999323. The next prime is 381999379. The reversal of 381999360 is 63999183.

It is a happy number.

It is a super-2 number, since 2×3819993602 = 291847022080819200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 117436 + ... + 120644.

It is an arithmetic number, because the mean of its divisors is an integer number (8748320).

Almost surely, 2381999360 is an apocalyptic number.

381999360 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 381999360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629879040).

381999360 is an abundant number, since it is smaller than the sum of its proper divisors (877758720).

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

381999360 is a wasteful number, since it uses less digits than its factorization.

381999360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3264 (or 3250 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 48.

The square root of 381999360 is about 19544.8039130609. The cubic root of 381999360 is about 725.5837454781.

The spelling of 381999360 in words is "three hundred eighty-one million, nine hundred ninety-nine thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 128 155 160 186 192 240 248 256 310 320 372 384 465 480 496 620 640 744 768 930 960 992 1240 1280 1488 1860 1920 1984 2480 2976 3209 3720 3840 3968 4960 5952 6418 7440 7936 9627 9920 11904 12836 14880 16045 19254 19840 23808 25672 29760 32090 38508 39680 48135 51344 59520 64180 77016 96270 99479 102688 119040 128360 154032 192540 198958 205376 256720 298437 308064 385080 397916 410752 497395 513440 596874 616128 770160 795832 821504 994790 1026880 1193748 1232256 1492185 1540320 1591664 1989580 2053760 2387496 2464512 2984370 3080640 3183328 3979160 4107520 4774992 5968740 6161280 6366656 7958320 9549984 11937480 12322560 12733312 15916640 19099968 23874960 25466624 31833280 38199936 47749920 63666560 76399872 95499840 127333120 190999680 381999360