Search a number
-
+
423224304 = 24341832591
BaseRepresentation
bin11001001110011…
…110001111110000
31002111101000121020
4121032132033300
51331321134204
6105555055440
713326230046
oct3116361760
91074330536
10423224304
111a7998758
12b98a1580
13698b34a9
14402cc396
152724ebd9
hex1939e3f0

423224304 has 80 divisors (see below), whose sum is σ = 1133927424. Its totient is φ = 135923200.

The previous prime is 423224267. The next prime is 423224323. The reversal of 423224304 is 403422324.

It is a super-2 number, since 2×4232243042 = 358237622992568832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162049 + ... + 164639.

Almost surely, 2423224304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423224304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566963712).

423224304 is an abundant number, since it is smaller than the sum of its proper divisors (710703120).

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

423224304 is a wasteful number, since it uses less digits than its factorization.

423224304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2726 (or 2720 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 423224304 is about 20572.4160953448. The cubic root of 423224304 is about 750.7987366133.

Adding to 423224304 its reverse (403422324), we get a palindrome (826646628).

The spelling of 423224304 in words is "four hundred twenty-three million, two hundred twenty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 83 123 164 166 246 249 328 332 492 498 656 664 984 996 1328 1968 1992 2591 3403 3984 5182 6806 7773 10209 10364 13612 15546 20418 20728 27224 31092 40836 41456 54448 62184 81672 106231 124368 163344 212462 215053 318693 424924 430106 637386 645159 849848 860212 1274772 1290318 1699696 1720424 2549544 2580636 3440848 5099088 5161272 8817173 10322544 17634346 26451519 35268692 52903038 70537384 105806076 141074768 211612152 423224304