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8331381 = 3229137233
BaseRepresentation
bin11111110010000001110101
3120200021111200
4133302001311
54113101011
6454323113
7130546512
oct37620165
916607450
108331381
114780543
122959499
131959216
14116c309
15ae8856
hex7f2075

8331381 has 24 divisors (see below), whose sum is σ = 12593880. Its totient is φ = 5300736.

The previous prime is 8331371. The next prime is 8331397. The reversal of 8331381 is 1831338.

8331381 = T278 + T279 + ... + T414.

It can be written as a sum of positive squares in 4 ways, for example, as 680625 + 7650756 = 825^2 + 2766^2 .

It is not a de Polignac number, because 8331381 - 26 = 8331317 is a prime.

It is a super-2 number, since 2×83313812 = 138823818734322, which contains 22 as substring.

8331381 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8331371) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 35641 + ... + 35873.

It is an arithmetic number, because the mean of its divisors is an integer number (524745).

Almost surely, 28331381 is an apocalyptic number.

It is an amenable number.

8331381 is a deficient number, since it is larger than the sum of its proper divisors (4262499).

8331381 is a wasteful number, since it uses less digits than its factorization.

8331381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 402 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 8331381 is about 2886.4131720875. The cubic root of 8331381 is about 202.7242326349.

The spelling of 8331381 in words is "eight million, three hundred thirty-one thousand, three hundred eighty-one".

Divisors: 1 3 9 29 87 137 233 261 411 699 1233 2097 3973 6757 11919 20271 31921 35757 60813 95763 287289 925709 2777127 8331381