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83404314 = 2327661939
BaseRepresentation
bin1001111100010…
…10011000011010
312210221101012200
410332022120122
5132322414224
612135351030
72031632160
oct476123032
9183841180
1083404314
1143096994
1223b22476
1314382a86
14b111230
1574c75c9
hex4f8a61a

83404314 has 24 divisors (see below), whose sum is σ = 206525280. Its totient is φ = 23829768.

The previous prime is 83404313. The next prime is 83404331. The reversal of 83404314 is 41340438.

83404314 is a `hidden beast` number, since 8 + 340 + 4 + 314 = 666.

It is not an unprimeable number, because it can be changed into a prime (83404313) 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 11 ways as a sum of consecutive naturals, for example, 330844 + ... + 331095.

It is an arithmetic number, because the mean of its divisors is an integer number (8605220).

Almost surely, 283404314 is an apocalyptic number.

83404314 is an abundant number, since it is smaller than the sum of its proper divisors (123120966).

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

83404314 is a wasteful number, since it uses less digits than its factorization.

83404314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661954 (or 661951 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 83404314 is about 9132.5962354634. The cubic root of 83404314 is about 436.9142118218.

The spelling of 83404314 in words is "eighty-three million, four hundred four thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 661939 1323878 1985817 3971634 4633573 5957451 9267146 11914902 13900719 27801438 41702157 83404314