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381359240 = 23585311177
BaseRepresentation
bin10110101110110…
…001010010001000
3222120121001112022
4112232301102020
51240111443430
6101501504012
712310333343
oct2656612210
9876531468
10381359240
111862a3929
12a7872008
1361015a72
143891145a
15237304e5
hex16bb1488

381359240 has 32 divisors (see below), whose sum is σ = 859141080. Its totient is φ = 152351232.

The previous prime is 381359219. The next prime is 381359257. The reversal of 381359240 is 42953183.

It can be written as a sum of positive squares in 4 ways, for example, as 286218724 + 95140516 = 16918^2 + 9754^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 381359240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28532 + ... + 39708.

Almost surely, 2381359240 is an apocalyptic number.

It is an amenable number.

381359240 is an abundant number, since it is smaller than the sum of its proper divisors (477781840).

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

381359240 is a wasteful number, since it uses less digits than its factorization.

381359240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12041 (or 12037 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 381359240 is about 19528.4213391662. The cubic root of 381359240 is about 725.1782296654.

The spelling of 381359240 in words is "three hundred eighty-one million, three hundred fifty-nine thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 853 1706 3412 4265 6824 8530 11177 17060 22354 34120 44708 55885 89416 111770 223540 447080 9533981 19067962 38135924 47669905 76271848 95339810 190679620 381359240