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23024430 = 232511131789
BaseRepresentation
bin101011111010…
…1001100101110
31121022202120200
41113311030232
521343240210
62141254330
7366463422
oct127651456
947282520
1023024430
1111aa6660
1278643a6
134a01c30
1430b4b82
15204c0c0
hex15f532e

23024430 has 96 divisors (see below), whose sum is σ = 70368480. Its totient is φ = 5149440.

The previous prime is 23024401. The next prime is 23024437. The reversal of 23024430 is 3442032.

23024430 is a `hidden beast` number, since 230 + 2 + 4 + 430 = 666.

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 (23024437) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11976 + ... + 13764.

It is an arithmetic number, because the mean of its divisors is an integer number (733005).

Almost surely, 223024430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23024430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35184240).

23024430 is an abundant number, since it is smaller than the sum of its proper divisors (47344050).

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

23024430 is a wasteful number, since it uses less digits than its factorization.

23024430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1826 (or 1823 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 23024430 is about 4798.3778508992. The cubic root of 23024430 is about 284.4873517336.

Adding to 23024430 its reverse (3442032), we get a palindrome (26466462).

The spelling of 23024430 in words is "twenty-three million, twenty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 13 15 18 22 26 30 33 39 45 55 65 66 78 90 99 110 117 130 143 165 195 198 234 286 330 390 429 495 585 715 858 990 1170 1287 1430 1789 2145 2574 3578 4290 5367 6435 8945 10734 12870 16101 17890 19679 23257 26835 32202 39358 46514 53670 59037 69771 80505 98395 116285 118074 139542 161010 177111 196790 209313 232570 255827 295185 348855 354222 418626 511654 590370 697710 767481 885555 1046565 1279135 1534962 1771110 2093130 2302443 2558270 3837405 4604886 7674810 11512215 23024430