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3441561024 = 263112370849
BaseRepresentation
bin1100110100100010…
…0000110111000000
322212211220102012010
43031020200313000
524022014423044
61325300332520
7151166533416
oct31510406700
98784812163
103441561024
111506742810
128006a4140
1342b018055
142491092b6
15152216bb9
hexcd220dc0

3441561024 has 112 divisors (see below), whose sum is σ = 10365638400. Its totient is φ = 997539840.

The previous prime is 3441561023. The next prime is 3441561059. The reversal of 3441561024 is 4201651443.

It is a junction number, because it is equal to n+sod(n) for n = 3441560982 and 3441561000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3441561023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13152 + ... + 84000.

Almost surely, 23441561024 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 3441561024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5182819200).

3441561024 is an abundant number, since it is smaller than the sum of its proper divisors (6924077376).

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

3441561024 is a wasteful number, since it uses less digits than its factorization.

3441561024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70898 (or 70888 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 3441561024 is about 58664.8193042474. The cubic root of 3441561024 is about 1509.7967686952.

It can be divided in two parts, 3441 and 561024, that added together give a palindrome (564465).

The spelling of 3441561024 in words is "three billion, four hundred forty-one million, five hundred sixty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 64 66 69 88 92 96 132 138 176 184 192 253 264 276 352 368 506 528 552 704 736 759 1012 1056 1104 1472 1518 2024 2112 2208 3036 4048 4416 6072 8096 12144 16192 24288 48576 70849 141698 212547 283396 425094 566792 779339 850188 1133584 1558678 1629527 1700376 2267168 2338017 3117356 3259054 3400752 4534336 4676034 4888581 6234712 6518108 6801504 9352068 9777162 12469424 13036216 13603008 17924797 18704136 19554324 24938848 26072432 35849594 37408272 39108648 49877696 52144864 53774391 71699188 74816544 78217296 104289728 107548782 143398376 149633088 156434592 215097564 286796752 312869184 430195128 573593504 860390256 1147187008 1720780512 3441561024