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2734228368 = 2432371015081
BaseRepresentation
bin1010001011111001…
…0000001110010000
321001112221012012100
42202332100032100
521044430301433
61131152000400
7124520362164
oct24276201620
97045835170
102734228368
111183445273
12643830100
1334760c211
141bd1c2ca4
15110096b13
hexa2f90390

2734228368 has 120 divisors (see below), whose sum is σ = 7938226296. Its totient is φ = 877824000.

The previous prime is 2734228351. The next prime is 2734228379. The reversal of 2734228368 is 8638224372.

2734228368 is a `hidden beast` number, since 27 + 342 + 283 + 6 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1162264464 + 1571963904 = 34092^2 + 39648^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 535588 + ... + 540668.

Almost surely, 22734228368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2734228368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3969113148).

2734228368 is an abundant number, since it is smaller than the sum of its proper divisors (5203997928).

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

2734228368 is a wasteful number, since it uses less digits than its factorization.

2734228368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5233 (or 5224 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 2734228368 is about 52289.8495694910. The cubic root of 2734228368 is about 1398.3361812544.

The spelling of 2734228368 in words is "two billion, seven hundred thirty-four million, two hundred twenty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 101 111 144 148 202 222 296 303 333 404 444 592 606 666 808 888 909 1212 1332 1616 1776 1818 2424 2664 3636 3737 4848 5081 5328 7272 7474 10162 11211 14544 14948 15243 20324 22422 29896 30486 33633 40648 44844 45729 59792 60972 67266 81296 89688 91458 121944 134532 179376 182916 187997 243888 269064 365832 375994 513181 538128 563991 731664 751988 1026362 1127982 1503976 1539543 1691973 2052724 2255964 3007952 3079086 3383946 4105448 4511928 4618629 6158172 6767892 8210896 9023856 9237258 12316344 13535784 18474516 18987697 24632688 27071568 36949032 37975394 56963091 73898064 75950788 113926182 151901576 170889273 227852364 303803152 341778546 455704728 683557092 911409456 1367114184 2734228368