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381909096 = 233241532441
BaseRepresentation
bin10110110000110…
…111100001101000
3222121121222210100
4112300313201220
51240232042341
6101521345400
712315113412
oct2660674150
9877558710
10381909096
11186639a58
12a7a98260
136117911a
1438a159b2
15237dd3b6
hex16c37868

381909096 has 96 divisors (see below), whose sum is σ = 1079998920. Its totient is φ = 121804800.

The previous prime is 381909083. The next prime is 381909107. The reversal of 381909096 is 690909183.

It can be written as a sum of positive squares in 4 ways, for example, as 187306596 + 194602500 = 13686^2 + 13950^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155236 + ... + 157676.

Almost surely, 2381909096 is an apocalyptic number.

381909096 is a gapful number since it is divisible by the number (36) 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 381909096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539999460).

381909096 is an abundant number, since it is smaller than the sum of its proper divisors (698089824).

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

381909096 is a wasteful number, since it uses less digits than its factorization.

381909096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2547 (or 2540 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 381909096 is about 19542.4946206977. The cubic root of 381909096 is about 725.5265907135.

The spelling of 381909096 in words is "three hundred eighty-one million, nine hundred nine thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 53 72 82 106 123 159 164 212 246 318 328 369 424 477 492 636 738 954 984 1272 1476 1908 2173 2441 2952 3816 4346 4882 6519 7323 8692 9764 13038 14646 17384 19528 19557 21969 26076 29292 39114 43938 52152 58584 78228 87876 100081 129373 156456 175752 200162 258746 300243 388119 400324 517492 600486 776238 800648 900729 1034984 1164357 1200972 1552476 1801458 2328714 2401944 3104952 3602916 4657428 5304293 7205832 9314856 10608586 15912879 21217172 31825758 42434344 47738637 63651516 95477274 127303032 190954548 381909096