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244416 = 2631967
BaseRepresentation
bin111011101011000000
3110102021110
4323223000
530310131
65123320
72035404
oct735300
9412243
10244416
111576a7
12b9540
1387333
1465104
154c646
hex3bac0

244416 has 56 divisors (see below), whose sum is σ = 690880. Its totient is φ = 76032.

The previous prime is 244411. The next prime is 244423. The reversal of 244416 is 614442.

244416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nialpdrome in base 12 and base 13.

It is a junction number, because it is equal to n+sod(n) for n = 244392 and 244401.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 244416.

It is not an unprimeable number, because it can be changed into a prime (244411) by changing a digit.

244416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3615 + ... + 3681.

2244416 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 244416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345440).

244416 is an abundant number, since it is smaller than the sum of its proper divisors (446464).

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

244416 is a wasteful number, since it uses less digits than its factorization.

244416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 91 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 244416 is about 494.3844657754. The cubic root of 244416 is about 62.5234898372.

Adding to 244416 its reverse (614442), we get a palindrome (858858).

The spelling of 244416 in words is "two hundred forty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 67 76 96 114 134 152 192 201 228 268 304 402 456 536 608 804 912 1072 1216 1273 1608 1824 2144 2546 3216 3648 3819 4288 5092 6432 7638 10184 12864 15276 20368 30552 40736 61104 81472 122208 244416