Search a number
-
+
4243104 = 25341637
BaseRepresentation
bin10000001011111010100000
321222120110000
4100023322200
52041234404
6230540000
751031365
oct20137240
97876400
104243104
1124389a8
121507600
13b57418
147c646c
1558c339
hex40bea0

4243104 has 60 divisors (see below), whose sum is σ = 12486474. Its totient is φ = 1413504.

The previous prime is 4243093. The next prime is 4243117. The reversal of 4243104 is 4013424.

It can be written as a sum of positive squares in only one way, i.e., 4210704 + 32400 = 2052^2 + 180^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1774 + ... + 3410.

Almost surely, 24243104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4243104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6243237).

4243104 is an abundant number, since it is smaller than the sum of its proper divisors (8243370).

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

4243104 is a wasteful number, since it uses less digits than its factorization.

4243104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1659 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4243104 is about 2059.8796081325. The cubic root of 4243104 is about 161.8929333699.

Adding to 4243104 its reverse (4013424), we get a palindrome (8256528).

The spelling of 4243104 in words is "four million, two hundred forty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 1637 2592 3274 4911 6548 9822 13096 14733 19644 26192 29466 39288 44199 52384 58932 78576 88398 117864 132597 157152 176796 235728 265194 353592 471456 530388 707184 1060776 1414368 2121552 4243104