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5684330340 = 223251318113421
BaseRepresentation
bin1010100101100111…
…11111111101100100
3112200011001220022100
411102303333331210
543120142032330
62340014532100
7260602003443
oct52263777544
915604056270
105684330340
112457724577
121127807030
136c78728a0
143bcd1ad5a
15234081060
hex152cfff64

5684330340 has 144 divisors (see below), whose sum is σ = 18672793776. Its totient is φ = 1391385600.

The previous prime is 5684330329. The next prime is 5684330363. The reversal of 5684330340 is 430334865.

It can be written as a sum of positive squares in 8 ways, for example, as 613751076 + 5070579264 = 24774^2 + 71208^2 .

It is a super-2 number, since 2×56843303402 = 64623222828489031200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5684330295 and 5684330304.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 416830 + ... + 430250.

It is an arithmetic number, because the mean of its divisors is an integer number (129672179).

Almost surely, 25684330340 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 5684330340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9336396888).

5684330340 is an abundant number, since it is smaller than the sum of its proper divisors (12988463436).

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

5684330340 is a wasteful number, since it uses less digits than its factorization.

5684330340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13630 (or 13625 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 5684330340 is about 75394.4980751248. The cubic root of 5684330340 is about 1784.6775869438.

The spelling of 5684330340 in words is "five billion, six hundred eighty-four million, three hundred thirty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 181 195 234 260 362 390 468 543 585 724 780 905 1086 1170 1629 1810 2172 2340 2353 2715 3258 3620 4706 5430 6516 7059 8145 9412 10860 11765 13421 14118 16290 21177 23530 26842 28236 32580 35295 40263 42354 47060 53684 67105 70590 80526 84708 105885 120789 134210 141180 161052 174473 201315 211770 241578 268420 348946 402630 423540 483156 523419 603945 697892 805260 872365 1046838 1207890 1570257 1744730 2093676 2415780 2429201 2617095 3140514 3489460 4858402 5234190 6281028 7287603 7851285 9716804 10468380 12146005 14575206 15702570 21862809 24292010 29150412 31405140 31579613 36438015 43725618 48584020 63159226 72876030 87451236 94738839 109314045 126318452 145752060 157898065 189477678 218628090 284216517 315796130 378955356 437256180 473694195 568433034 631592260 947388390 1136866068 1421082585 1894776780 2842165170 5684330340