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380281000 = 235311181191
BaseRepresentation
bin10110101010101…
…010000010101000
3222111120021110111
4112222222002220
51234322443000
6101422424104
712265222651
oct2652520250
9874507414
10380281000
11185727820
12a7432034
1360a29058
1438710528
15235bacba
hex16aaa0a8

380281000 has 128 divisors (see below), whose sum is σ = 981227520. Its totient is φ = 136800000.

The previous prime is 380280983. The next prime is 380281039. The reversal of 380281000 is 182083.

It is a super-2 number, since 2×3802810002 = 289227277922000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1990905 + ... + 1991095.

It is an arithmetic number, because the mean of its divisors is an integer number (7665840).

Almost surely, 2380281000 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 380281000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490613760).

380281000 is an abundant number, since it is smaller than the sum of its proper divisors (600946520).

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

380281000 is a wasteful number, since it uses less digits than its factorization.

380281000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 380281000 is about 19500.7948555950. The cubic root of 380281000 is about 724.4941378070.

The spelling of 380281000 in words is "three hundred eighty million, two hundred eighty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 181 191 200 220 250 275 362 382 440 500 550 724 764 905 955 1000 1100 1375 1448 1528 1810 1910 1991 2101 2200 2750 3620 3820 3982 4202 4525 4775 5500 7240 7640 7964 8404 9050 9550 9955 10505 11000 15928 16808 18100 19100 19910 21010 22625 23875 34571 36200 38200 39820 42020 45250 47750 49775 52525 69142 79640 84040 90500 95500 99550 105050 138284 172855 181000 191000 199100 210100 248875 262625 276568 345710 380281 398200 420200 497750 525250 691420 760562 864275 995500 1050500 1382840 1521124 1728550 1901405 1991000 2101000 3042248 3457100 3802810 4321375 6914200 7605620 8642750 9507025 15211240 17285500 19014050 34571000 38028100 47535125 76056200 95070250 190140500 380281000