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2743703040 = 29351327481
BaseRepresentation
bin1010001110001001…
…1001011000000000
321002012202120000010
42203202121120000
521104341444130
61132131024520
7124664043141
oct24342313000
97065676003
102743703040
111188826781
12646a3b140
13349578930
141c056bac8
15110d190b0
hexa3899600

2743703040 has 160 divisors (see below), whose sum is σ = 9446332896. Its totient is φ = 675348480.

The previous prime is 2743702991. The next prime is 2743703057. The reversal of 2743703040 is 403073472.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2743702989 and 2743703007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86100 + ... + 113580.

Almost surely, 22743703040 is an apocalyptic number.

2743703040 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 2743703040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4723166448).

2743703040 is an abundant number, since it is smaller than the sum of its proper divisors (6702629856).

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

2743703040 is a wasteful number, since it uses less digits than its factorization.

2743703040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27520 (or 27504 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 30.

The square root of 2743703040 is about 52380.3688417712. The cubic root of 2743703040 is about 1399.9494947767.

The spelling of 2743703040 in words is "two billion, seven hundred forty-three million, seven hundred three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 256 260 312 320 384 390 416 480 512 520 624 640 768 780 832 960 1040 1248 1280 1536 1560 1664 1920 2080 2496 2560 3120 3328 3840 4160 4992 6240 6656 7680 8320 9984 12480 16640 19968 24960 27481 33280 49920 54962 82443 99840 109924 137405 164886 219848 274810 329772 357253 412215 439696 549620 659544 714506 824430 879392 1071759 1099240 1319088 1429012 1648860 1758784 1786265 2143518 2198480 2638176 2858024 3297720 3517568 3572530 4287036 4396960 5276352 5358795 5716048 6595440 7035136 7145060 8574072 8793920 10552704 10717590 11432096 13190880 14070272 14290120 17148144 17587840 21105408 21435180 22864192 26381760 28580240 34296288 35175680 42210816 42870360 45728384 52763520 57160480 68592576 70351360 85740720 91456768 105527040 114320960 137185152 171481440 182913536 211054080 228641920 274370304 342962880 457283840 548740608 685925760 914567680 1371851520 2743703040