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4409934336 = 29328910753
BaseRepresentation
bin1000001101101101…
…00100001000000000
3102101100001212122100
410012312210020000
533012420344321
62005332110400
7214165552263
oct40666441000
912340055570
104409934336
111963324a35
12a30a65400
13553830a02
142db982cda
151ac24c326
hex106da4200

4409934336 has 120 divisors (see below), whose sum is σ = 12871570140. Its totient is φ = 1453326336.

The previous prime is 4409934301. The next prime is 4409934341. The reversal of 4409934336 is 6334399044.

It can be written as a sum of positive squares in 2 ways, for example, as 4356000000 + 53934336 = 66000^2 + 7344^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4409934291 and 4409934300.

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, 404736 + ... + 415488.

Almost surely, 24409934336 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 4409934336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6435785070).

4409934336 is an abundant number, since it is smaller than the sum of its proper divisors (8461635804).

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

4409934336 is a wasteful number, since it uses less digits than its factorization.

4409934336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10866 (or 10847 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 45.

The square root of 4409934336 is about 66407.3364621711. The cubic root of 4409934336 is about 1639.8748585853.

The spelling of 4409934336 in words is "four billion, four hundred nine million, nine hundred thirty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 89 96 128 144 178 192 256 267 288 356 384 512 534 576 712 768 801 1068 1152 1424 1536 1602 2136 2304 2848 3204 4272 4608 5696 6408 8544 10753 11392 12816 17088 21506 22784 25632 32259 34176 43012 45568 51264 64518 68352 86024 96777 102528 129036 136704 172048 193554 205056 258072 344096 387108 410112 516144 688192 774216 957017 1032288 1376384 1548432 1914034 2064576 2752768 2871051 3096864 3828068 4129152 5505536 5742102 6193728 7656136 8258304 8613153 11484204 12387456 15312272 16516608 17226306 22968408 24774912 30624544 34452612 45936816 49549824 61249088 68905224 91873632 122498176 137810448 183747264 244996352 275620896 367494528 489992704 551241792 734989056 1102483584 1469978112 2204967168 4409934336