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4400342244 = 22322331251683
BaseRepresentation
bin1000001100100011…
…11110010011100100
3102100200000112202200
410012101332103210
533002441422434
62004350334500
7214021202064
oct40621762344
912320015680
104400342244
111958973291
12a297ba430
13551852a0c
142da5a73a4
151ab4a5199
hex10647e4e4

4400342244 has 144 divisors (see below), whose sum is σ = 12046454784. Its totient is φ = 1350360000.

The previous prime is 4400342239. The next prime is 4400342273. The reversal of 4400342244 is 4422430044.

It is a happy number.

4400342244 is a `hidden beast` number, since 4 + 400 + 34 + 224 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6442327 + ... + 6443009.

It is an arithmetic number, because the mean of its divisors is an integer number (83655936).

Almost surely, 24400342244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4400342244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6023227392).

4400342244 is an abundant number, since it is smaller than the sum of its proper divisors (7646112540).

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

4400342244 is a wasteful number, since it uses less digits than its factorization.

4400342244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 4400342244 is about 66335.0755181601. The cubic root of 4400342244 is about 1638.6850261284.

Adding to 4400342244 its reverse (4422430044), we get a palindrome (8822772288).

The spelling of 4400342244 in words is "four billion, four hundred million, three hundred forty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 23 31 36 46 62 69 92 93 124 138 186 207 251 276 279 372 414 502 558 683 713 753 828 1004 1116 1366 1426 1506 2049 2139 2259 2732 2852 3012 4098 4278 4518 5773 6147 6417 7781 8196 8556 9036 11546 12294 12834 15562 15709 17319 21173 23092 23343 24588 25668 31124 31418 34638 42346 46686 47127 51957 62836 63519 69276 70029 84692 93372 94254 103914 127038 140058 141381 171433 178963 188508 190557 207828 254076 280116 282762 342866 357926 381114 486979 514299 536889 565524 685732 715852 762228 973958 1028598 1073778 1460937 1542897 1610667 1947916 2057196 2147556 2921874 3085794 3221334 3942959 4382811 5314423 5843748 6171588 6442668 7885918 8765622 10628846 11828877 15771836 15943269 17531244 21257692 23657754 31886538 35486631 47315508 47829807 63773076 70973262 95659614 122231729 141946524 191319228 244463458 366695187 488926916 733390374 1100085561 1466780748 2200171122 4400342244