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244114332 = 223711349757
BaseRepresentation
bin11101000110011…
…10001110011100
3122000100021220120
432203032032130
5444443124312
640120114540
76022636410
oct1643161634
9560307816
10244114332
11115883790
1269905a50
133b761767
14245c6d40
151667028c
hexe8ce39c

244114332 has 96 divisors (see below), whose sum is σ = 713126400. Its totient is φ = 63141120.

The previous prime is 244114327. The next prime is 244114349. The reversal of 244114332 is 233411442.

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, 322098 + ... + 322854.

It is an arithmetic number, because the mean of its divisors is an integer number (7428400).

Almost surely, 2244114332 is an apocalyptic number.

244114332 is a gapful number since it is divisible by the number (22) 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 244114332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356563200).

244114332 is an abundant number, since it is smaller than the sum of its proper divisors (469012068).

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

244114332 is a wasteful number, since it uses less digits than its factorization.

244114332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131 (or 1129 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 244114332 is about 15624.1586013455. The cubic root of 244114332 is about 624.9775625012.

Adding to 244114332 its reverse (233411442), we get a palindrome (477525774).

The spelling of 244114332 in words is "two hundred forty-four million, one hundred fourteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 349 462 698 757 924 1047 1396 1514 2094 2271 2443 3028 3839 4188 4542 4886 5299 7329 7678 8327 9084 9772 10598 11517 14658 15356 15897 16654 21196 23034 24981 26873 29316 31794 33308 46068 49962 53746 58289 63588 80619 99924 107492 116578 161238 174867 233156 264193 322476 349734 528386 699468 792579 1056772 1585158 1849351 2906123 3170316 3698702 5548053 5812246 7397404 8718369 11096106 11624492 17436738 20342861 22192212 34873476 40685722 61028583 81371444 122057166 244114332