Search a number
-
+
34383780 = 22325191021
BaseRepresentation
bin1000001100101…
…0011110100100
32101200212200100
42003022132210
532300240110
63224544100
7565154154
oct203123644
971625610
1034383780
1118455052
12b622030
13717b442
1447d0764
153042bc0
hex20ca7a4

34383780 has 36 divisors (see below), whose sum is σ = 104298012. Its totient is φ = 9168960.

The previous prime is 34383779. The next prime is 34383847. The reversal of 34383780 is 8738343.

It can be written as a sum of positive squares in 2 ways, for example, as 11573604 + 22810176 = 3402^2 + 4776^2 .

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 (36).

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, 95331 + ... + 95690.

It is an arithmetic number, because the mean of its divisors is an integer number (2897167).

Almost surely, 234383780 is an apocalyptic number.

34383780 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34383780 is an abundant number, since it is smaller than the sum of its proper divisors (69914232).

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

34383780 is a wasteful number, since it uses less digits than its factorization.

34383780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191036 (or 191031 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 34383780 is about 5863.7684128894. The cubic root of 34383780 is about 325.1755422482.

The spelling of 34383780 in words is "thirty-four million, three hundred eighty-three thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 191021 382042 573063 764084 955105 1146126 1719189 1910210 2292252 2865315 3438378 3820420 5730630 6876756 8595945 11461260 17191890 34383780