Search a number
-
+
23341032 = 233211132267
BaseRepresentation
bin101100100001…
…0011111101000
31121220211212200
41121002133220
521433403112
62152140200
7402252441
oct131023750
947824780
1023341032
11121a2510
127997660
134ab3080
1431582c8
1520b0cdc
hex16427e8

23341032 has 96 divisors (see below), whose sum is σ = 74299680. Its totient is φ = 6526080.

The previous prime is 23341009. The next prime is 23341039. The reversal of 23341032 is 23014332.

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

It is a junction number, because it is equal to n+sod(n) for n = 23340996 and 23341014.

It is not an unprimeable number, because it can be changed into a prime (23341039) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9163 + ... + 11429.

It is an arithmetic number, because the mean of its divisors is an integer number (773955).

Almost surely, 223341032 is an apocalyptic number.

23341032 is a gapful number since it is divisible by the number (22) 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 23341032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37149840).

23341032 is an abundant number, since it is smaller than the sum of its proper divisors (50958648).

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

23341032 is a wasteful number, since it uses less digits than its factorization.

23341032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2303 (or 2296 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 23341032 is about 4831.2557373834. The cubic root of 23341032 is about 285.7853867810.

Adding to 23341032 its reverse (23014332), we get a palindrome (46355364).

The spelling of 23341032 in words is "twenty-three million, three hundred forty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 33 36 39 44 52 66 72 78 88 99 104 117 132 143 156 198 234 264 286 312 396 429 468 572 792 858 936 1144 1287 1716 2267 2574 3432 4534 5148 6801 9068 10296 13602 18136 20403 24937 27204 29471 40806 49874 54408 58942 74811 81612 88413 99748 117884 149622 163224 176826 199496 224433 235768 265239 299244 324181 353652 448866 530478 598488 648362 707304 897732 972543 1060956 1296724 1795464 1945086 2121912 2593448 2917629 3890172 5835258 7780344 11670516 23341032