[go: up one dir, main page]

Search a number
-
+
23403300 = 22352181431
BaseRepresentation
bin101100101000…
…1101100100100
31122001000021220
41121101230210
521442401200
62153340340
7402632124
oct131215444
948030256
1023403300
1112235278
127a076b0
134b0550b
143172c84
1520c44a0
hex1651b24

23403300 has 72 divisors (see below), whose sum is σ = 68245632. Its totient is φ = 6192000.

The previous prime is 23403293. The next prime is 23403313. The reversal of 23403300 is 330432.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 23403300.

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 23 ways as a sum of consecutive naturals, for example, 54085 + ... + 54515.

It is an arithmetic number, because the mean of its divisors is an integer number (947856).

Almost surely, 223403300 is an apocalyptic number.

23403300 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 23403300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34122816).

23403300 is an abundant number, since it is smaller than the sum of its proper divisors (44842332).

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

23403300 is a wasteful number, since it uses less digits than its factorization.

23403300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

The square root of 23403300 is about 4837.6957324743. The cubic root of 23403300 is about 286.0392956260.

Adding to 23403300 its reverse (330432), we get a palindrome (23733732).

The spelling of 23403300 in words is "twenty-three million, four hundred three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 181 300 362 431 543 724 862 905 1086 1293 1724 1810 2155 2172 2586 2715 3620 4310 4525 5172 5430 6465 8620 9050 10775 10860 12930 13575 18100 21550 25860 27150 32325 43100 54300 64650 78011 129300 156022 234033 312044 390055 468066 780110 936132 1170165 1560220 1950275 2340330 3900550 4680660 5850825 7801100 11701650 23403300