Search a number
-
+
23445504 = 2143353
BaseRepresentation
bin101100101110…
…0000000000000
31122010011012000
41121130000000
522000224004
62154304000
7403166145
oct131340000
948104160
1023445504
1112263a55
127a28000
134b1b7a4
1431843cc
1520d1c39
hex165c000

23445504 has 120 divisors (see below), whose sum is σ = 70776720. Its totient is φ = 7667712.

The previous prime is 23445497. The next prime is 23445509. The reversal of 23445504 is 40554432.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23445509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 442342 + ... + 442394.

It is an arithmetic number, because the mean of its divisors is an integer number (589806).

Almost surely, 223445504 is an apocalyptic number.

23445504 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 23445504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35388360).

23445504 is an abundant number, since it is smaller than the sum of its proper divisors (47331216).

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

23445504 is an frugal number, since it uses more digits than its factorization.

23445504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 23445504 is about 4842.0557617607. The cubic root of 23445504 is about 286.2111339717.

Adding to 23445504 its reverse (40554432), we get a palindrome (63999936).

The spelling of 23445504 in words is "twenty-three million, four hundred forty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 64 72 96 106 108 128 144 159 192 212 216 256 288 318 384 424 432 477 512 576 636 768 848 864 954 1024 1152 1272 1431 1536 1696 1728 1908 2048 2304 2544 2862 3072 3392 3456 3816 4096 4608 5088 5724 6144 6784 6912 7632 8192 9216 10176 11448 12288 13568 13824 15264 16384 18432 20352 22896 24576 27136 27648 30528 36864 40704 45792 49152 54272 55296 61056 73728 81408 91584 108544 110592 122112 147456 162816 183168 217088 221184 244224 325632 366336 434176 442368 488448 651264 732672 868352 976896 1302528 1465344 1953792 2605056 2930688 3907584 5861376 7815168 11722752 23445504