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34504020 = 22325191689
BaseRepresentation
bin1000001110011…
…1110101010100
32101220222121200
42003213311110
532313112040
63231312500
7566164545
oct203476524
971828550
1034504020
1118527421
12b67b730
1371c10a5
1448224cc
153068630
hex20e7d54

34504020 has 36 divisors (see below), whose sum is σ = 104662740. Its totient is φ = 9201024.

The previous prime is 34503983. The next prime is 34504021. The reversal of 34504020 is 2040543.

It is a happy number.

34504020 is digitally balanced in base 2, 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 2 ways, for example, as 12489156 + 22014864 = 3534^2 + 4692^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 34503984 and 34504002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34504021) 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, 95665 + ... + 96024.

Almost surely, 234504020 is an apocalyptic number.

34504020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34504020 is an abundant number, since it is smaller than the sum of its proper divisors (70158720).

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

34504020 is a wasteful number, since it uses less digits than its factorization.

34504020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191704 (or 191699 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 34504020 is about 5874.0122573927. The cubic root of 34504020 is about 325.5541473060.

Adding to 34504020 its reverse (2040543), we get a palindrome (36544563).

The spelling of 34504020 in words is "thirty-four million, five hundred four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 191689 383378 575067 766756 958445 1150134 1725201 1916890 2300268 2875335 3450402 3833780 5750670 6900804 8626005 11501340 17252010 34504020