Search a number
-
+
2187709434 = 2323713723977
BaseRepresentation
bin1000001001100101…
…1100101111111010
312122110120011011100
42002121130233322
513440023200214
61001030112230
7105133136421
oct20231345772
95573504140
102187709434
11a229a5529
125107ab676
1328b31a331
1416a79c2b8
15cc0e0309
hex8265cbfa

2187709434 has 48 divisors (see below), whose sum is σ = 4903884648. Its totient is φ = 704318976.

The previous prime is 2187709411. The next prime is 2187709487. The reversal of 2187709434 is 4349077812.

It can be written as a sum of positive squares in 4 ways, for example, as 2135826225 + 51883209 = 46215^2 + 7203^2 .

It is a super-2 number, since 2×21877094342 = 9572145135225200712, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2187709434.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79254 + ... + 103230.

Almost surely, 22187709434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2187709434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2451942324).

2187709434 is an abundant number, since it is smaller than the sum of its proper divisors (2716175214).

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

2187709434 is a wasteful number, since it uses less digits than its factorization.

2187709434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24159 (or 24156 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 2187709434 is about 46772.9562247246. The cubic root of 2187709434 is about 1298.1649521335.

The spelling of 2187709434 in words is "two billion, one hundred eighty-seven million, seven hundred nine thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 37 74 111 137 222 274 333 411 666 822 1233 2466 5069 10138 15207 23977 30414 45621 47954 71931 91242 143862 215793 431586 887149 1774298 2661447 3284849 5322894 6569698 7984341 9854547 15968682 19709094 29563641 59127282 121539413 243078826 364618239 729236478 1093854717 2187709434