Search a number
-
+
441414324 = 2232138111163
BaseRepresentation
bin11010010011110…
…111001010110100
31010202121011121200
4122103313022310
51401000224244
6111445012500
713636650141
oct3223671264
91122534550
10441414324
1120719212a
121039b4130
13705b1b10
14428a53c8
1528b44669
hex1a4f72b4

441414324 has 72 divisors (see below), whose sum is σ = 1204144032. Its totient is φ = 135535680.

The previous prime is 441414319. The next prime is 441414359. The reversal of 441414324 is 423414144.

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, 378967 + ... + 380129.

Almost surely, 2441414324 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 441414324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602072016).

441414324 is an abundant number, since it is smaller than the sum of its proper divisors (762729708).

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

441414324 is a wasteful number, since it uses less digits than its factorization.

441414324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1997 (or 1992 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 441414324 is about 21009.8625411972. The cubic root of 441414324 is about 761.4045609790.

Adding to 441414324 its reverse (423414144), we get a palindrome (864828468).

The spelling of 441414324 in words is "four hundred forty-one million, four hundred fourteen thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 811 1163 1622 2326 2433 3244 3489 4652 4866 6978 7299 9732 10467 10543 13956 14598 15119 20934 21086 29196 30238 31629 41868 42172 45357 60476 63258 90714 94887 126516 136071 181428 189774 272142 379548 544284 943193 1886386 2829579 3772772 5659158 8488737 11318316 12261509 16977474 24523018 33954948 36784527 49046036 73569054 110353581 147138108 220707162 441414324