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23431104 = 2632192141
BaseRepresentation
bin101100101100…
…0011111000000
31122002102102200
41121120133000
521444243404
62154113200
7403106154
oct131303700
948072380
1023431104
1112254154
127a1b800
134b15078
14317d064
1520cc839
hex16587c0

23431104 has 84 divisors (see below), whose sum is σ = 70728840. Its totient is φ = 7395840.

The previous prime is 23431103. The next prime is 23431127. The reversal of 23431104 is 40113432.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23431103) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 9874 + ... + 12014.

It is an arithmetic number, because the mean of its divisors is an integer number (842010).

Almost surely, 223431104 is an apocalyptic number.

23431104 is a gapful number since it is divisible by the number (24) 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 23431104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35364420).

23431104 is an abundant number, since it is smaller than the sum of its proper divisors (47297736).

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

23431104 is a wasteful number, since it uses less digits than its factorization.

23431104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2178 (or 2165 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 23431104 is about 4840.5685616465. The cubic root of 23431104 is about 286.1525259418.

Adding to 23431104 its reverse (40113432), we get a palindrome (63544536).

The spelling of 23431104 in words is "twenty-three million, four hundred thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 144 152 171 192 228 288 304 342 456 576 608 684 912 1216 1368 1824 2141 2736 3648 4282 5472 6423 8564 10944 12846 17128 19269 25692 34256 38538 40679 51384 68512 77076 81358 102768 122037 137024 154152 162716 205536 244074 308304 325432 366111 411072 488148 616608 650864 732222 976296 1233216 1301728 1464444 1952592 2603456 2928888 3905184 5857776 7810368 11715552 23431104