Search a number
-
+
23054304 = 2537213229
BaseRepresentation
bin101011111110…
…0011111100000
31121101021120010
41113330133200
521400214204
62142044520
7366646500
oct127743740
947337503
1023054304
1112017049
127879740
134a12700
1430c1a00
152055d89
hex15fc7e0

23054304 has 216 divisors, whose sum is σ = 78858360. Its totient is φ = 5870592.

The previous prime is 23054267. The next prime is 23054357. The reversal of 23054304 is 40345032.

It is a happy number.

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 35 ways as a sum of consecutive naturals, for example, 794962 + ... + 794990.

It is an arithmetic number, because the mean of its divisors is an integer number (365085).

Almost surely, 223054304 is an apocalyptic number.

23054304 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 23054304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39429180).

23054304 is an abundant number, since it is smaller than the sum of its proper divisors (55804056).

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

23054304 is a wasteful number, since it uses less digits than its factorization.

23054304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 23054304 is about 4801.4897688113. The cubic root of 23054304 is about 284.6103385219.

Adding to 23054304 its reverse (40345032), we get a palindrome (63399336).

The spelling of 23054304 in words is "twenty-three million, fifty-four thousand, three hundred four".