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244144344 = 233173197199
BaseRepresentation
bin11101000110101…
…01100011011000
3122000101211002010
432203111203120
51000000104334
640120505520
76023123043
oct1643254330
9560354063
10244144344
111158a4294
126991b2a0
133b772312
14245d3c5a
15166790e9
hexe8d58d8

244144344 has 128 divisors (see below), whose sum is σ = 677376000. Its totient is φ = 72990720.

The previous prime is 244144337. The next prime is 244144391. The reversal of 244144344 is 443441442.

244144344 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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1226757 + ... + 1226955.

It is an arithmetic number, because the mean of its divisors is an integer number (5292000).

Almost surely, 2244144344 is an apocalyptic number.

244144344 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 244144344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338688000).

244144344 is an abundant number, since it is smaller than the sum of its proper divisors (433231656).

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

244144344 is a wasteful number, since it uses less digits than its factorization.

244144344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 349 counting only the distinct ones).

The product of its digits is 24576, while the sum is 30.

The square root of 244144344 is about 15625.1190075468. The cubic root of 244144344 is about 625.0031735306.

Adding to 244144344 its reverse (443441442), we get a palindrome (687585786).

The spelling of 244144344 in words is "two hundred forty-four million, one hundred forty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 17 24 31 34 51 62 68 93 97 102 124 136 186 194 199 204 248 291 372 388 398 408 527 582 597 744 776 796 1054 1164 1194 1581 1592 1649 2108 2328 2388 3007 3162 3298 3383 4216 4776 4947 6014 6169 6324 6596 6766 9021 9894 10149 12028 12338 12648 13192 13532 18042 18507 19303 19788 20298 24056 24676 27064 36084 37014 38606 39576 40596 49352 51119 57909 72168 74028 77212 81192 102238 104873 115818 148056 153357 154424 204476 209746 231636 306714 314619 328151 408952 419492 463272 598393 613428 629238 656302 838984 984453 1196786 1226856 1258476 1312604 1795179 1968906 2393572 2516952 2625208 3590358 3937812 4787144 7180716 7875624 10172681 14361432 20345362 30518043 40690724 61036086 81381448 122072172 244144344