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3534563340 = 22325711255019
BaseRepresentation
bin1101001010101101…
…0010100000001100
3100010022220102101100
43102223102200030
524214322011330
61342421543100
7153406202250
oct32253224014
910108812340
103534563340
111554194830
12827874a90
1344437b6c9
142575d8260
1515a488060
hexd2ad280c

3534563340 has 144 divisors (see below), whose sum is σ = 13367128320. Its totient is φ = 734451840.

The previous prime is 3534563339. The next prime is 3534563401. The reversal of 3534563340 is 433654353.

3534563340 is a `hidden beast` number, since 3 + 53 + 4 + 563 + 3 + 40 = 666.

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 = 3534563295 and 3534563304.

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 47 ways as a sum of consecutive naturals, for example, 113650 + ... + 141369.

It is an arithmetic number, because the mean of its divisors is an integer number (92827280).

Almost surely, 23534563340 is an apocalyptic number.

3534563340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3534563340 is an abundant number, since it is smaller than the sum of its proper divisors (9832564980).

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

3534563340 is a wasteful number, since it uses less digits than its factorization.

3534563340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255052 (or 255047 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 36.

The square root of 3534563340 is about 59452.1937358076. The cubic root of 3534563340 is about 1523.2759647928.

The spelling of 3534563340 in words is "three billion, five hundred thirty-four million, five hundred sixty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 28 30 33 35 36 42 44 45 55 60 63 66 70 77 84 90 99 105 110 126 132 140 154 165 180 198 210 220 231 252 308 315 330 385 396 420 462 495 630 660 693 770 924 990 1155 1260 1386 1540 1980 2310 2772 3465 4620 6930 13860 255019 510038 765057 1020076 1275095 1530114 1785133 2295171 2550190 2805209 3060228 3570266 3825285 4590342 5100380 5355399 5610418 7140532 7650570 8415627 8925665 9180684 10710798 11220836 11475855 14026045 15301140 16066197 16831254 17851330 19636463 21421596 22951710 25246881 26776995 28052090 32132394 33662508 35702660 39272926 42078135 45903420 50493762 53553990 56104180 58909389 64264788 78545852 80330985 84156270 98182315 100987524 107107980 117818778 126234405 160661970 168312540 176728167 196364630 235637556 252468810 294546945 321323940 353456334 392729260 504937620 589093890 706912668 883640835 1178187780 1767281670 3534563340