Search a number
-
+
2443104 = 253217499
BaseRepresentation
bin1001010100011101100000
311121010022100
421110131200
51111134404
6124210400
726523516
oct11243540
94533270
102443104
1114195a4
12999a00
13677031
144784b6
15333d39
hex254760

2443104 has 72 divisors (see below), whose sum is σ = 7371000. Its totient is φ = 764928.

The previous prime is 2443097. The next prime is 2443109. The reversal of 2443104 is 4013442.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2443109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4647 + ... + 5145.

It is an arithmetic number, because the mean of its divisors is an integer number (102375).

22443104 is an apocalyptic number.

2443104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2443104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3685500).

2443104 is an abundant number, since it is smaller than the sum of its proper divisors (4927896).

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

2443104 is a wasteful number, since it uses less digits than its factorization.

2443104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 521 counting only the distinct ones).

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

The square root of 2443104 is about 1563.0431855838. The cubic root of 2443104 is about 134.6833731955.

Adding to 2443104 its reverse (4013442), we get a palindrome (6456546).

The spelling of 2443104 in words is "two million, four hundred forty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 499 544 612 816 998 1224 1497 1632 1996 2448 2994 3992 4491 4896 5988 7984 8483 8982 11976 15968 16966 17964 23952 25449 33932 35928 47904 50898 67864 71856 76347 101796 135728 143712 152694 203592 271456 305388 407184 610776 814368 1221552 2443104