Search a number
-
+
4321212324 = 22311135347513
BaseRepresentation
bin1000000011001000…
…00111011110100100
3102011011010022220220
410001210013132210
532322212243244
61552442324340
7212040461442
oct40144073644
912134108826
104321212324
111918236860
12a071b96b0
1353b338690
142cdc89b92
151a4574319
hex1019077a4

4321212324 has 96 divisors (see below), whose sum is σ = 12069316224. Its totient is φ = 1185899520.

The previous prime is 4321212323. The next prime is 4321212347. The reversal of 4321212324 is 4232121234.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4321212294 and 4321212303.

It is not an unprimeable number, because it can be changed into a prime (4321212323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67192 + ... + 114704.

It is an arithmetic number, because the mean of its divisors is an integer number (125722044).

Almost surely, 24321212324 is an apocalyptic number.

4321212324 is a gapful number since it is divisible by the number (44) 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 4321212324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6034658112).

4321212324 is an abundant number, since it is smaller than the sum of its proper divisors (7748103900).

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

4321212324 is a wasteful number, since it uses less digits than its factorization.

4321212324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47597 (or 47595 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 4321212324 is about 65735.9287148208. The cubic root of 4321212324 is about 1628.8029054126.

Adding to 4321212324 its reverse (4232121234), we get a palindrome (8553333558).

The spelling of 4321212324 in words is "four billion, three hundred twenty-one million, two hundred twelve thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 53 66 78 106 132 143 156 159 212 286 318 429 572 583 636 689 858 1166 1378 1716 1749 2067 2332 2756 3498 4134 6996 7579 8268 15158 22737 30316 45474 47513 90948 95026 142539 190052 285078 522643 570156 617669 1045286 1235338 1567929 1853007 2090572 2470676 2518189 3135858 3706014 5036378 6271716 6794359 7412028 7554567 10072756 13588718 15109134 20383077 27177436 27700079 30218268 32736457 40766154 55400158 65472914 81532308 83100237 98209371 110800316 130945828 166200474 196418742 332400948 360101027 392837484 720202054 1080303081 1440404108 2160606162 4321212324