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244243328 = 2771914347
BaseRepresentation
bin11101000111011…
…01101110000000
3122000120211212012
432203231232000
51000011241303
640122552052
76024014450
oct1643555600
9560524765
10244243328
1111596169a
1269968628
133b7a83a4
142461bd60
15166985d8
hexe8edb80

244243328 has 64 divisors (see below), whose sum is σ = 585398400. Its totient is φ = 99159552.

The previous prime is 244243297. The next prime is 244243379. The reversal of 244243328 is 823342442.

244243328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 244243294 and 244243303.

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, 9851 + ... + 24197.

It is an arithmetic number, because the mean of its divisors is an integer number (9146850).

Almost surely, 2244243328 is an apocalyptic number.

244243328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244243328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292699200).

244243328 is an abundant number, since it is smaller than the sum of its proper divisors (341155072).

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

244243328 is a wasteful number, since it uses less digits than its factorization.

244243328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14387 (or 14375 counting only the distinct ones).

The product of its digits is 36864, while the sum is 32.

The square root of 244243328 is about 15628.2861504389. The cubic root of 244243328 is about 625.0876276070.

The spelling of 244243328 in words is "two hundred forty-four million, two hundred forty-three thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 266 304 448 532 608 896 1064 1216 2128 2432 4256 8512 14347 17024 28694 57388 100429 114776 200858 229552 272593 401716 459104 545186 803432 918208 1090372 1606864 1836416 1908151 2180744 3213728 3816302 4361488 6427456 7632604 8722976 12854912 15265208 17445952 30530416 34891904 61060832 122121664 244243328