Search a number
-
+
36341340 = 22357247263
BaseRepresentation
bin1000101010100…
…0011001011100
32112101022221120
42022220121130
533300410330
63334530540
7620616300
oct212503134
975338846
1036341340
1119571872
1210206a50
1376b5469
144b7dd00
1532ccc10
hex22a865c

36341340 has 144 divisors (see below), whose sum is σ = 121347072. Its totient is φ = 8098944.

The previous prime is 36341329. The next prime is 36341353. The reversal of 36341340 is 4314363.

It is a self number, because there is not a number n which added to its sum of digits gives 36341340.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 138049 + ... + 138311.

It is an arithmetic number, because the mean of its divisors is an integer number (842688).

Almost surely, 236341340 is an apocalyptic number.

36341340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36341340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60673536).

36341340 is an abundant number, since it is smaller than the sum of its proper divisors (85005732).

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

36341340 is a wasteful number, since it uses less digits than its factorization.

36341340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 36341340 is about 6028.3778912739. The cubic root of 36341340 is about 331.2330362738.

The spelling of 36341340 in words is "thirty-six million, three hundred forty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 47 49 60 70 84 94 98 105 140 141 147 188 196 210 235 245 263 282 294 329 420 470 490 526 564 588 658 705 735 789 940 980 987 1052 1315 1316 1410 1470 1578 1645 1841 1974 2303 2630 2820 2940 3156 3290 3682 3945 3948 4606 4935 5260 5523 6580 6909 7364 7890 9205 9212 9870 11046 11515 12361 12887 13818 15780 18410 19740 22092 23030 24722 25774 27615 27636 34545 36820 37083 38661 46060 49444 51548 55230 61805 64435 69090 74166 77322 86527 110460 123610 128870 138180 148332 154644 173054 185415 193305 247220 257740 259581 346108 370830 386610 432635 519162 605689 741660 773220 865270 1038324 1211378 1297905 1730540 1817067 2422756 2595810 3028445 3634134 5191620 6056890 7268268 9085335 12113780 18170670 36341340