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244312432 = 24721323971
BaseRepresentation
bin11101000111111…
…10100101110000
3122000201100122121
432203332211300
51000020444212
640124244024
76024423100
oct1643764560
9560640577
10244312432
111159a9601
12699a0614
133b800990
1424639200
15166add07
hexe8fe970

244312432 has 60 divisors (see below), whose sum is σ = 593019336. Its totient is φ = 96647040.

The previous prime is 244312429. The next prime is 244312459. The reversal of 244312432 is 234213442.

It is a happy number.

244312432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 244312397 and 244312406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1794 + ... + 22177.

Almost surely, 2244312432 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 244312432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296509668).

244312432 is an abundant number, since it is smaller than the sum of its proper divisors (348706904).

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

244312432 is a wasteful number, since it uses less digits than its factorization.

244312432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24006 (or 23993 counting only the distinct ones).

The product of its digits is 4608, while the sum is 25.

The square root of 244312432 is about 15630.4968571060. The cubic root of 244312432 is about 625.1465742629.

Adding to 244312432 its reverse (234213442), we get a palindrome (478525874).

The spelling of 244312432 in words is "two hundred forty-four million, three hundred twelve thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 182 196 208 364 392 637 728 784 1274 1456 2548 5096 10192 23971 47942 95884 167797 191768 311623 335594 383536 623246 671188 1174579 1246492 1342376 2181361 2349158 2492984 2684752 4362722 4698316 4985968 8725444 9396632 15269527 17450888 18793264 30539054 34901776 61078108 122156216 244312432