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34380090 = 2325382001
BaseRepresentation
bin1000001100100…
…1100100111010
32101200200121200
42003021210322
532300130330
63224515030
7565140333
oct203114472
971620550
1034380090
11184522a8
12b61ba76
137179864
1447cd28a
153041a60
hex20c993a

34380090 has 24 divisors (see below), whose sum is σ = 89388468. Its totient is φ = 9168000.

The previous prime is 34380053. The next prime is 34380107. The reversal of 34380090 is 9008343.

It can be written as a sum of positive squares in 2 ways, for example, as 33628401 + 751689 = 5799^2 + 867^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 190911 + ... + 191090.

Almost surely, 234380090 is an apocalyptic number.

34380090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34380090 is an abundant number, since it is smaller than the sum of its proper divisors (55008378).

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

34380090 is a wasteful number, since it uses less digits than its factorization.

34380090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382014 (or 382011 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 34380090 is about 5863.4537603702. The cubic root of 34380090 is about 325.1639094310.

The spelling of 34380090 in words is "thirty-four million, three hundred eighty thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 382001 764002 1146003 1910005 2292006 3438009 3820010 5730015 6876018 11460030 17190045 34380090