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2684356356 = 2231143716661
BaseRepresentation
bin1010000000000000…
…0000011100000100
320221002002102122210
42200000000130010
520444143400411
61122211023420
7123343436553
oct24000003404
96832072583
102684356356
111158281730
1262ab9ab70
1333a19a156
141b671dd9a
1510a9e4ca6
hexa0000704

2684356356 has 96 divisors (see below), whose sum is σ = 7091352576. Its totient is φ = 783216000.

The previous prime is 2684356303. The next prime is 2684356357. The reversal of 2684356356 is 6536534862.

2684356356 is a nontrivial binomial coefficient, being equal to C(73272, 2).

It is not an unprimeable number, because it can be changed into a prime (2684356357) 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, 399666 + ... + 406326.

It is an arithmetic number, because the mean of its divisors is an integer number (73868256).

Almost surely, 22684356356 is an apocalyptic number.

2684356356 is the 73271-st triangular number and also the 36636-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2684356356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3545676288).

2684356356 is an abundant number, since it is smaller than the sum of its proper divisors (4406996220).

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

2684356356 is a wasteful number, since it uses less digits than its factorization.

2684356356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6793 (or 6791 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 48.

The square root of 2684356356 is about 51810.7745165038. The cubic root of 2684356356 is about 1389.7821296467.

The spelling of 2684356356 in words is "two billion, six hundred eighty-four million, three hundred fifty-six thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 11 12 22 33 43 44 66 71 86 129 132 142 172 213 258 284 426 473 516 781 852 946 1419 1562 1892 2343 2838 3053 3124 4686 5676 6106 6661 9159 9372 12212 13322 18318 19983 26644 33583 36636 39966 67166 73271 79932 100749 134332 146542 201498 219813 286423 293084 402996 439626 472931 572846 859269 879252 945862 1145692 1418793 1718538 1891724 2837586 3150653 3437076 5202241 5675172 6301306 9451959 10404482 12602612 15606723 18903918 20336033 20808964 31213446 37807836 40672066 61008099 62426892 81344132 122016198 223696363 244032396 447392726 671089089 894785452 1342178178 2684356356