Search a number
-
+
23435412 = 223711131951
BaseRepresentation
bin101100101100…
…1100010010100
31122002122100020
41121121202110
521444413122
62154145140
7403124550
oct131314224
948078306
1023435412
1112257410
127a221b0
134b17010
143180860
1520cdc5c
hex1659894

23435412 has 96 divisors (see below), whose sum is σ = 73457664. Its totient is φ = 5616000.

The previous prime is 23435389. The next prime is 23435431. The reversal of 23435412 is 21453432.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11037 + ... + 12987.

It is an arithmetic number, because the mean of its divisors is an integer number (765184).

Almost surely, 223435412 is an apocalyptic number.

23435412 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 23435412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36728832).

23435412 is an abundant number, since it is smaller than the sum of its proper divisors (50022252).

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

23435412 is a wasteful number, since it uses less digits than its factorization.

23435412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1989 (or 1987 counting only the distinct ones).

The product of its digits is 2880, while the sum is 24.

The square root of 23435412 is about 4841.0135302434. The cubic root of 23435412 is about 286.1700620274.

Adding to 23435412 its reverse (21453432), we get a palindrome (44888844).

The spelling of 23435412 in words is "twenty-three million, four hundred thirty-five thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 52 66 77 78 84 91 132 143 154 156 182 231 273 286 308 364 429 462 546 572 858 924 1001 1092 1716 1951 2002 3003 3902 4004 5853 6006 7804 11706 12012 13657 21461 23412 25363 27314 40971 42922 50726 54628 64383 76089 81942 85844 101452 128766 150227 152178 163884 177541 257532 278993 300454 304356 355082 450681 532623 557986 600908 710164 836979 901362 1065246 1115972 1673958 1802724 1952951 2130492 3347916 3905902 5858853 7811804 11717706 23435412