[go: up one dir, main page]

Search a number
-
+
423524332 = 2271117471721
BaseRepresentation
bin11001001111100…
…111011111101100
31002111221021011101
4121033213133230
51331410234312
6110005332444
713331616550
oct3117473754
91074837141
10423524332
111a8083110
12b9a07124
1369989c1a
1440369860
15272ada57
hex193e77ec

423524332 has 96 divisors (see below), whose sum is σ = 999806976. Its totient is φ = 151910400.

The previous prime is 423524327. The next prime is 423524351. The reversal of 423524332 is 233425324.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 423524332.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245232 + ... + 246952.

It is an arithmetic number, because the mean of its divisors is an integer number (10414656).

Almost surely, 2423524332 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 423524332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499903488).

423524332 is an abundant number, since it is smaller than the sum of its proper divisors (576282644).

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

423524332 is a wasteful number, since it uses less digits than its factorization.

423524332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1807 (or 1805 counting only the distinct ones).

The product of its digits is 17280, while the sum is 28.

The square root of 423524332 is about 20579.7068006325. The cubic root of 423524332 is about 750.9761109846.

Adding to 423524332 its reverse (233425324), we get a palindrome (656949656).

The spelling of 423524332 in words is "four hundred twenty-three million, five hundred twenty-four thousand, three hundred thirty-two".

Divisors: 1 2 4 7 11 14 17 22 28 34 44 47 68 77 94 119 154 187 188 238 308 329 374 476 517 658 748 799 1034 1309 1316 1598 1721 2068 2618 3196 3442 3619 5236 5593 6884 7238 8789 11186 12047 14476 17578 18931 22372 24094 29257 35156 37862 48188 58514 61523 75724 80887 117028 123046 132517 161774 204799 246092 265034 321827 323548 409598 530068 566209 643654 819196 889757 1132418 1287308 1375079 1779514 2252789 2264836 2750158 3559028 4505578 5500316 6228299 9011156 9625553 12456598 15125869 19251106 24913196 30251738 38502212 60503476 105881083 211762166 423524332