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244068384 = 25372511447
BaseRepresentation
bin11101000110000…
…11000000100000
3122000020221212210
432203003000200
5444440142014
640115122120
76022355430
oct1643030040
9560227783
10244068384
1111585220a
12698a3340
133b746881
14245b42c0
1516661859
hexe8c3020

244068384 has 96 divisors (see below), whose sum is σ = 735630336. Its totient is φ = 69408000.

The previous prime is 244068359. The next prime is 244068401. The reversal of 244068384 is 483860442.

244068384 = T2752 + T2753 + ... + T2814.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167949 + ... + 169395.

It is an arithmetic number, because the mean of its divisors is an integer number (7662816).

Almost surely, 2244068384 is an apocalyptic number.

244068384 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 244068384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367815168).

244068384 is an abundant number, since it is smaller than the sum of its proper divisors (491561952).

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

244068384 is a wasteful number, since it uses less digits than its factorization.

244068384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1718 (or 1710 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The square root of 244068384 is about 15622.6881169663. The cubic root of 244068384 is about 624.9383482654.

The spelling of 244068384 in words is "two hundred forty-four million, sixty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 251 336 502 672 753 1004 1447 1506 1757 2008 2894 3012 3514 4016 4341 5271 5788 6024 7028 8032 8682 10129 10542 11576 12048 14056 17364 20258 21084 23152 24096 28112 30387 34728 40516 42168 46304 56224 60774 69456 81032 84336 121548 138912 162064 168672 243096 324128 363197 486192 726394 972384 1089591 1452788 2179182 2542379 2905576 4358364 5084758 5811152 7627137 8716728 10169516 11622304 15254274 17433456 20339032 30508548 34866912 40678064 61017096 81356128 122034192 244068384