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381332480 = 2105711049
BaseRepresentation
bin10110101110101…
…010110000000000
3222120112200211012
4112232222300000
51240110114410
6101501140052
712310162334
oct2656526000
9876480735
10381332480
11186285811
12a785a628
1361006829
14389057c4
1523727605
hex16baac00

381332480 has 88 divisors (see below), whose sum is σ = 928519200. Its totient is φ = 150241280.

The previous prime is 381332473. The next prime is 381332537. The reversal of 381332480 is 84233183.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 362996 + ... + 364044.

Almost surely, 2381332480 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 381332480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464259600).

381332480 is an abundant number, since it is smaller than the sum of its proper divisors (547186720).

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

381332480 is a wasteful number, since it uses less digits than its factorization.

381332480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 381332480 is about 19527.7361719171. The cubic root of 381332480 is about 725.1612673359.

The spelling of 381332480 in words is "three hundred eighty-one million, three hundred thirty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 71 80 128 142 160 256 284 320 355 512 568 640 710 1024 1049 1136 1280 1420 2098 2272 2560 2840 4196 4544 5120 5245 5680 8392 9088 10490 11360 16784 18176 20980 22720 33568 36352 41960 45440 67136 72704 74479 83920 90880 134272 148958 167840 181760 268544 297916 335680 363520 372395 537088 595832 671360 744790 1074176 1191664 1342720 1489580 2383328 2685440 2979160 4766656 5370880 5958320 9533312 11916640 19066624 23833280 38133248 47666560 76266496 95333120 190666240 381332480