Search a number
-
+
23435034 = 2372791009
BaseRepresentation
bin101100101100…
…1011100011010
31122002121211020
41121121130122
521444410114
62154143310
7403123500
oct131313432
948077736
1023435034
11122570a7
127a21b36
134b16aac
143180670
1520cdaa9
hex165971a

23435034 has 48 divisors (see below), whose sum is σ = 55267200. Its totient is φ = 6604416.

The previous prime is 23435021. The next prime is 23435047. The reversal of 23435034 is 43053432.

It is an interprime number because it is at equal distance from previous prime (23435021) and next prime (23435047).

It is a junction number, because it is equal to n+sod(n) for n = 23434995 and 23435013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22722 + ... + 23730.

It is an arithmetic number, because the mean of its divisors is an integer number (1151400).

Almost surely, 223435034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23435034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27633600).

23435034 is an abundant number, since it is smaller than the sum of its proper divisors (31832166).

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

23435034 is a wasteful number, since it uses less digits than its factorization.

23435034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

The square root of 23435034 is about 4840.9744886748. The cubic root of 23435034 is about 286.1685234318.

Adding to 23435034 its reverse (43053432), we get a palindrome (66488466).

The spelling of 23435034 in words is "twenty-three million, four hundred thirty-five thousand, thirty-four".

Divisors: 1 2 3 6 7 14 21 42 49 79 98 147 158 237 294 474 553 1009 1106 1659 2018 3027 3318 3871 6054 7063 7742 11613 14126 21189 23226 42378 49441 79711 98882 148323 159422 239133 296646 478266 557977 1115954 1673931 3347862 3905839 7811678 11717517 23435034