Search a number
-
+
244414304 = 25173712143
BaseRepresentation
bin11101001000101…
…11011101100000
3122000220112101122
432210113131200
51000032224204
640130351412
76025326101
oct1644273540
9560815348
10244414304
11115a690a2
1269a2b568
133b838164
14246643a8
15166ce0be
hexe917760

244414304 has 48 divisors (see below), whose sum is σ = 523309248. Its totient is φ = 111900672.

The previous prime is 244414277. The next prime is 244414327. The reversal of 244414304 is 403414442.

It is a happy number.

244414304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14057 + ... + 26199.

It is an arithmetic number, because the mean of its divisors is an integer number (10902276).

Almost surely, 2244414304 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 244414304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261654624).

244414304 is an abundant number, since it is smaller than the sum of its proper divisors (278894944).

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

244414304 is a wasteful number, since it uses less digits than its factorization.

244414304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12207 (or 12199 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

The square root of 244414304 is about 15633.7552750451. The cubic root of 244414304 is about 625.2334522026.

Adding to 244414304 its reverse (403414442), we get a palindrome (647828746).

The spelling of 244414304 in words is "two hundred forty-four million, four hundred fourteen thousand, three hundred four".

Divisors: 1 2 4 8 16 17 32 34 37 68 74 136 148 272 296 544 592 629 1184 1258 2516 5032 10064 12143 20128 24286 48572 97144 194288 206431 388576 412862 449291 825724 898582 1651448 1797164 3302896 3594328 6605792 7188656 7637947 14377312 15275894 30551788 61103576 122207152 244414304