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380279250 = 232531313001
BaseRepresentation
bin10110101010101…
…001100111010010
3222111120012001200
4112222221213102
51234322414000
6101422412030
712265214601
oct2652514722
9874505050
10380279250
1118572647a
12a7431016
1360a28310
143870da38
15235ba500
hex16aa99d2

380279250 has 96 divisors (see below), whose sum is σ = 1107458352. Its totient is φ = 93600000.

The previous prime is 380279231. The next prime is 380279261. The reversal of 380279250 is 52972083.

It is a happy number.

380279250 is a `hidden beast` number, since 380 + 27 + 9 + 250 = 666.

380279250 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 45279441 + 334999809 = 6729^2 + 18303^2 .

It is a super-2 number, since 2×3802792502 = 289224615961125000, which contains 22 as substring.

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, 22750 + ... + 35750.

Almost surely, 2380279250 is an apocalyptic number.

380279250 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 380279250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553729176).

380279250 is an abundant number, since it is smaller than the sum of its proper divisors (727179102).

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

380279250 is a wasteful number, since it uses less digits than its factorization.

380279250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13037 (or 13024 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 380279250 is about 19500.7499855775. The cubic root of 380279250 is about 724.4930264651.

The spelling of 380279250 in words is "three hundred eighty million, two hundred seventy-nine thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 117 125 130 150 195 225 234 250 325 375 390 450 585 650 750 975 1125 1170 1625 1950 2250 2925 3250 4875 5850 9750 13001 14625 26002 29250 39003 65005 78006 117009 130010 169013 195015 234018 325025 338026 390030 507039 585045 650050 845065 975075 1014078 1170090 1521117 1625125 1690130 1950150 2535195 2925225 3042234 3250250 4225325 4875375 5070390 5850450 7605585 8450650 9750750 12675975 14626125 15211170 21126625 25351950 29252250 38027925 42253250 63379875 76055850 126759750 190139625 380279250