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2027074434 = 237311151593
BaseRepresentation
bin111100011010010…
…1011001110000010
312020021022001100220
41320310223032002
513122412340214
6533051123510
7101142564000
oct17064531602
95207261326
102027074434
1195025a030
12486a43596
13263c66838
14153305a70
15bce5e9a9
hex78d2b382

2027074434 has 128 divisors (see below), whose sum is σ = 5200588800. Its totient is φ = 522144000.

The previous prime is 2027074429. The next prime is 2027074487. The reversal of 2027074434 is 4344707202.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2027074395 and 2027074404.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3418042 + ... + 3418634.

It is an arithmetic number, because the mean of its divisors is an integer number (40629600).

Almost surely, 22027074434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2027074434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2600294400).

2027074434 is an abundant number, since it is smaller than the sum of its proper divisors (3173514366).

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

2027074434 is a wasteful number, since it uses less digits than its factorization.

2027074434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 33.

The square root of 2027074434 is about 45023.0433667028. The cubic root of 2027074434 is about 1265.5808617267.

The spelling of 2027074434 in words is "two billion, twenty-seven million, seventy-four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 147 151 154 231 294 302 343 453 462 539 593 686 906 1029 1057 1078 1186 1617 1661 1779 2058 2114 3171 3234 3322 3558 3773 4151 4983 6342 6523 7399 7546 8302 9966 11319 11627 12453 13046 14798 19569 22197 22638 23254 24906 29057 34881 39138 44394 45661 51793 58114 69762 81389 87171 89543 91322 103586 136983 155379 162778 174342 179086 203399 244167 268629 273966 310758 319627 406798 488334 537258 569723 610197 626801 639254 958881 984973 1139446 1220394 1253602 1709169 1880403 1917762 1969946 2237389 2954919 3418338 3760806 4387607 4474778 5909838 6712167 6894811 8775214 13162821 13424334 13789622 20684433 26325642 30713249 41368866 48263677 61426498 92139747 96527354 144791031 184279494 289582062 337845739 675691478 1013537217 2027074434