Search a number
-
+
4342414609 = 1323721372
BaseRepresentation
bin1000000101101001…
…11111110100010001
3102012122000111222201
410002310333310101
532343124231414
61554521003201
7212415625621
oct40264776421
912178014881
104342414609
1119291a8405
12a12323501
13542850100
142d2a08881
151a6361574
hex102d3fd11

4342414609 has 27 divisors (see below), whose sum is σ = 4868193267. Its totient is φ = 3871580544.

The previous prime is 4342414579. The next prime is 4342414613. The reversal of 4342414609 is 9064142434.

The square root of 4342414609 is 65897.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 1519830225 + 2822584384 = 38985^2 + 53128^2 .

It is not a de Polignac number, because 4342414609 - 223 = 4334026001 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (4342414009) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 31696389 + ... + 31696525.

Almost surely, 24342414609 is an apocalyptic number.

4342414609 is the 65897-th square number.

4342414609 is the 32949-th centered octagonal number.

It is an amenable number.

4342414609 is a deficient number, since it is larger than the sum of its proper divisors (525778658).

4342414609 is an equidigital number, since it uses as much as digits as its factorization.

4342414609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 37.

The cubic root of 4342414609 is about 1631.4624997333.

Multiplying 4342414609 by its product of nonzero digits (82944), we get a square (360177237328896 = 189783362).

The spelling of 4342414609 in words is "four billion, three hundred forty-two million, four hundred fourteen thousand, six hundred nine".

Divisors: 1 13 37 137 169 481 1369 1781 5069 6253 17797 18769 23153 65897 187553 231361 243997 694453 856661 2438189 3171961 9027889 25694761 31696457 117362557 334031893 4342414609