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2744335080 = 2338510457
BaseRepresentation
bin1010001110010011…
…0011101011101000
321002020221200000000
42203210303223220
521110022210310
61132152343000
7125002314624
oct24344635350
97066850000
102744335080
111189118623
126470a4a60
1334973a516
141c0694184
15110de14c0
hexa3933ae8

2744335080 has 144 divisors (see below), whose sum is σ = 9262546020. Its totient is φ = 731752704.

The previous prime is 2744335073. The next prime is 2744335081. The reversal of 2744335080 is 805334472.

It is a happy number.

2744335080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2670615684 + 73719396 = 51678^2 + 8586^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2744335081) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 257212 + ... + 267668.

Almost surely, 22744335080 is an apocalyptic number.

2744335080 is a gapful number since it is divisible by the number (20) 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 2744335080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4631273010).

2744335080 is an abundant number, since it is smaller than the sum of its proper divisors (6518210940).

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

2744335080 is an equidigital number, since it uses as much as digits as its factorization.

2744335080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10492 (or 10467 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 2744335080 is about 52386.4016706626. The cubic root of 2744335080 is about 1400.0569840751.

The spelling of 2744335080 in words is "two billion, seven hundred forty-four million, three hundred thirty-five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 729 810 972 1080 1215 1458 1620 1944 2187 2430 2916 3240 3645 4374 4860 5832 6561 7290 8748 9720 10457 10935 13122 14580 17496 20914 21870 26244 29160 31371 32805 41828 43740 52285 52488 62742 65610 83656 87480 94113 104570 125484 131220 156855 188226 209140 250968 262440 282339 313710 376452 418280 470565 564678 627420 752904 847017 941130 1129356 1254840 1411695 1694034 1882260 2258712 2541051 2823390 3388068 3764520 4235085 5082102 5646780 6776136 7623153 8470170 10164204 11293560 12705255 15246306 16940340 20328408 22869459 25410510 30492612 33880680 38115765 45738918 50821020 60985224 68608377 76231530 91477836 101642040 114347295 137216754 152463060 182955672 228694590 274433508 304926120 343041885 457389180 548867016 686083770 914778360 1372167540 2744335080