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2743305864 = 2331323537213
BaseRepresentation
bin1010001110000011…
…1000011010001000
321002012000101011220
42203200320122020
521104241241424
61132114322040
7124660500165
oct24340703210
97065011156
102743305864
111188585332
12646889320
13349469c10
141c04a706c
15110c8b579
hexa3838688

2743305864 has 128 divisors (see below), whose sum is σ = 7853448960. Its totient is φ = 792050688.

The previous prime is 2743305863. The next prime is 2743305919. The reversal of 2743305864 is 4685033472.

It is not an unprimeable number, because it can be changed into a prime (2743305863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 376722 + ... + 383934.

It is an arithmetic number, because the mean of its divisors is an integer number (61355070).

Almost surely, 22743305864 is an apocalyptic number.

2743305864 is a gapful number since it is divisible by the number (24) 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 2743305864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3926724480).

2743305864 is an abundant number, since it is smaller than the sum of its proper divisors (5110143096).

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

2743305864 is a wasteful number, since it uses less digits than its factorization.

2743305864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7311 (or 7307 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The square root of 2743305864 is about 52376.5774368658. The cubic root of 2743305864 is about 1399.8819397043.

The spelling of 2743305864 in words is "two billion, seven hundred forty-three million, three hundred five thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 23 24 26 39 46 52 53 69 78 92 104 106 138 156 159 184 212 276 299 312 318 424 552 598 636 689 897 1196 1219 1272 1378 1794 2067 2392 2438 2756 3588 3657 4134 4876 5512 7176 7213 7314 8268 9752 14426 14628 15847 16536 21639 28852 29256 31694 43278 47541 57704 63388 86556 93769 95082 126776 165899 173112 187538 190164 281307 331798 375076 380328 382289 497697 562614 663596 750152 764578 995394 1125228 1146867 1327192 1529156 1990788 2156687 2250456 2293734 3058312 3981576 4313374 4587468 4969757 6470061 8626748 8792647 9174936 9939514 12940122 14909271 17253496 17585294 19879028 25880244 26377941 29818542 35170588 39758056 51760488 52755882 59637084 70341176 105511764 114304411 119274168 211023528 228608822 342913233 457217644 685826466 914435288 1371652932 2743305864