Search a number
-
+
4209345 = 325722383
BaseRepresentation
bin10000000011101011000001
321220212010200
4100003223001
52034144340
6230115413
750531100
oct20035301
97825120
104209345
1124155a8
1214abb69
13b44c4a
147b8037
15582330
hex403ac1

4209345 has 72 divisors (see below), whose sum is σ = 8963136. Its totient is φ = 1818432.

The previous prime is 4209311. The next prime is 4209349. The reversal of 4209345 is 5439024.

It is not a de Polignac number, because 4209345 - 26 = 4209281 is a prime.

It is a d-powerful number, because it can be written as 44 + 213 + 0 + 94 + 33 + 411 + 5 .

It is not an unprimeable number, because it can be changed into a prime (4209349) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 50674 + ... + 50756.

It is an arithmetic number, because the mean of its divisors is an integer number (124488).

Almost surely, 24209345 is an apocalyptic number.

4209345 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4209345 is an abundant number, since it is smaller than the sum of its proper divisors (4753791).

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

4209345 is a wasteful number, since it uses less digits than its factorization.

4209345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 4209345 is about 2051.6688329260. The cubic root of 4209345 is about 161.4624385868.

It can be divided in two parts, 4209 and 345, that added together give a palindrome (4554).

The spelling of 4209345 in words is "four million, two hundred nine thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 15 21 23 35 45 49 63 69 83 105 115 147 161 207 245 249 315 345 415 441 483 581 735 747 805 1035 1127 1245 1449 1743 1909 2205 2415 2905 3381 3735 4067 5229 5635 5727 7245 8715 9545 10143 12201 13363 16905 17181 20335 26145 28635 36603 40089 50715 61005 66815 85905 93541 120267 183015 200445 280623 467705 601335 841869 1403115 4209345