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244848384 = 2832119661
BaseRepresentation
bin11101001100000…
…01011100000000
3122001201120211200
432212001130000
51000140122014
640143541200
76032114454
oct1646013400
9561646750
10244848384
11116235240
1269bba800
133b95a901
1424738664
1516767a09
hexe981700

244848384 has 108 divisors (see below), whose sum is σ = 770215992. Its totient is φ = 74188800.

The previous prime is 244848353. The next prime is 244848397. The reversal of 244848384 is 483848442.

244848384 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2448483842 = 119901462294822912, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 20514 + ... + 30174.

Almost surely, 2244848384 is an apocalyptic number.

244848384 is a gapful number since it is divisible by the number (24) 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 244848384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385107996).

244848384 is an abundant number, since it is smaller than the sum of its proper divisors (525367608).

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

244848384 is a wasteful number, since it uses less digits than its factorization.

244848384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9694 (or 9677 counting only the distinct ones).

The product of its digits is 786432, while the sum is 45.

The square root of 244848384 is about 15647.6318975109. The cubic root of 244848384 is about 625.6033716674.

The spelling of 244848384 in words is "two hundred forty-four million, eight hundred forty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 528 576 704 768 792 1056 1152 1408 1584 2112 2304 2816 3168 4224 6336 8448 9661 12672 19322 25344 28983 38644 57966 77288 86949 106271 115932 154576 173898 212542 231864 309152 318813 347796 425084 463728 618304 637626 695592 850168 927456 956439 1236608 1275252 1391184 1700336 1854912 1912878 2473216 2550504 2782368 3400672 3709824 3825756 5101008 5564736 6801344 7419648 7651512 10202016 11129472 13602688 15303024 20404032 22258944 27205376 30606048 40808064 61212096 81616128 122424192 244848384