Search a number
-
+
442143324 = 223278321139
BaseRepresentation
bin11010010110101…
…001001001011100
31010210222012121200
4122112221021130
51401142041244
6111512355500
713646104410
oct3226511134
91123865550
10442143324
1120763a907
121040a5b90
13707a888c
1442a14d40
1528c3a669
hex1a5a925c

442143324 has 72 divisors (see below), whose sum is σ = 1292753280. Its totient is φ = 124798752.

The previous prime is 442143307. The next prime is 442143347. The reversal of 442143324 is 423341244.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10347 + ... + 31485.

Almost surely, 2442143324 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 442143324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646376640).

442143324 is an abundant number, since it is smaller than the sum of its proper divisors (850609956).

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

442143324 is a wasteful number, since it uses less digits than its factorization.

442143324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21239 (or 21234 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 442143324 is about 21027.2043790895. The cubic root of 442143324 is about 761.8234860949.

Adding to 442143324 its reverse (423341244), we get a palindrome (865484568).

The spelling of 442143324 in words is "four hundred forty-two million, one hundred forty-three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 83 84 126 166 249 252 332 498 581 747 996 1162 1494 1743 2324 2988 3486 5229 6972 10458 20916 21139 42278 63417 84556 126834 147973 190251 253668 295946 380502 443919 591892 761004 887838 1331757 1754537 1775676 2663514 3509074 5263611 5327028 7018148 10527222 12281759 15790833 21054444 24563518 31581666 36845277 49127036 63163332 73690554 110535831 147381108 221071662 442143324