Search a number
-
+
23434320 = 24357132937
BaseRepresentation
bin101100101100…
…1010001010000
31122002120211210
41121121101100
521444344240
62154140120
7403121430
oct131312120
948076753
1023434320
1112256608
127a21640
134b16680
1431802c0
1520cd780
hex1659450

23434320 has 320 divisors, whose sum is σ = 94993920. Its totient is φ = 4644864.

The previous prime is 23434297. The next prime is 23434337. The reversal of 23434320 is 2343432.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 633342 + ... + 633378.

It is an arithmetic number, because the mean of its divisors is an integer number (296856).

Almost surely, 223434320 is an apocalyptic number.

23434320 is a gapful number since it is divisible by the number (20) 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 23434320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47496960).

23434320 is an abundant number, since it is smaller than the sum of its proper divisors (71559600).

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

23434320 is a wasteful number, since it uses less digits than its factorization.

23434320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 23434320 is about 4840.9007426304. The cubic root of 23434320 is about 286.1656171506.

Adding to 23434320 its reverse (2343432), we get a palindrome (25777752).

The spelling of 23434320 in words is "twenty-three million, four hundred thirty-four thousand, three hundred twenty".