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404786340 = 2232571132843
BaseRepresentation
bin11000001000001…
…000110010100100
31001012200021110200
4120020020302210
51312111130330
6104055550500
713013425050
oct3010106244
91035607420
10404786340
11198544a72
12b368b430
1365b2905a
143ba8cc60
152580ba60
hex18208ca4

404786340 has 144 divisors (see below), whose sum is σ = 1416175488. Its totient is φ = 91671552.

The previous prime is 404786339. The next prime is 404786351. The reversal of 404786340 is 43687404.

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 = 404786295 and 404786304.

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, 140959 + ... + 143801.

It is an arithmetic number, because the mean of its divisors is an integer number (9834552).

Almost surely, 2404786340 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 404786340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708087744).

404786340 is an abundant number, since it is smaller than the sum of its proper divisors (1011389148).

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

404786340 is a wasteful number, since it uses less digits than its factorization.

404786340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2978 (or 2973 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 404786340 is about 20119.3026718125. The cubic root of 404786340 is about 739.7334930249.

The spelling of 404786340 in words is "four hundred four million, seven hundred eighty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 113 126 140 180 210 226 252 315 339 420 452 565 630 678 791 1017 1130 1260 1356 1582 1695 2034 2260 2373 2843 3164 3390 3955 4068 4746 5085 5686 6780 7119 7910 8529 9492 10170 11372 11865 14215 14238 15820 17058 19901 20340 23730 25587 28430 28476 34116 35595 39802 42645 47460 51174 56860 59703 71190 79604 85290 99505 102348 119406 127935 142380 170580 179109 199010 238812 255870 298515 321259 358218 398020 511740 597030 642518 716436 895545 963777 1194060 1285036 1606295 1791090 1927554 2248813 2891331 3212590 3582180 3855108 4497626 4818885 5782662 6425180 6746439 8995252 9637770 11244065 11565324 13492878 14456655 19275540 20239317 22488130 26985756 28913310 33732195 40478634 44976260 57826620 67464390 80957268 101196585 134928780 202393170 404786340