Search a number
-
+
243212424 = 233713193577
BaseRepresentation
bin11100111111100…
…10000010001000
3121221122110201120
432133302002020
5444230244144
640044515240
76012162060
oct1637620210
9557573646
10243212424
11115318104
126954bb20
133b5070a0
14244303a0
1516542e19
hexe7f2088

243212424 has 128 divisors (see below), whose sum is σ = 753527040. Its totient is φ = 63700992.

The previous prime is 243212413. The next prime is 243212441. The reversal of 243212424 is 424212342.

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

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 = 243212394 and 243212403.

It is an unprimeable number.

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, 421224 + ... + 421800.

It is an arithmetic number, because the mean of its divisors is an integer number (5886930).

Almost surely, 2243212424 is an apocalyptic number.

243212424 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 243212424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376763520).

243212424 is an abundant number, since it is smaller than the sum of its proper divisors (510314616).

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

243212424 is a wasteful number, since it uses less digits than its factorization.

243212424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 795 counting only the distinct ones).

The product of its digits is 3072, while the sum is 24.

The square root of 243212424 is about 15595.2692827024. The cubic root of 243212424 is about 624.2069292343.

Adding to 243212424 its reverse (424212342), we get a palindrome (667424766).

The spelling of 243212424 in words is "two hundred forty-three million, two hundred twelve thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 193 273 312 364 386 546 577 579 728 772 1092 1154 1158 1351 1544 1731 2184 2308 2316 2509 2702 3462 4039 4053 4616 4632 5018 5404 6924 7501 7527 8078 8106 10036 10808 12117 13848 15002 15054 16156 16212 17563 20072 22503 24234 30004 30108 32312 32424 35126 45006 48468 52507 52689 60008 60216 70252 90012 96936 105014 105378 111361 140504 157521 180024 210028 210756 222722 315042 334083 420056 421512 445444 630084 668166 779527 890888 1260168 1336332 1447693 1559054 2338581 2672664 2895386 3118108 4343079 4677162 5790772 6236216 8686158 9354324 10133851 11581544 17372316 18708648 20267702 30401553 34744632 40535404 60803106 81070808 121606212 243212424