Search a number
-
+
230303340 = 2232531149277
BaseRepresentation
bin11011011101000…
…10011001101100
3121001100121210100
431232202121230
5432424201330
634504111100
75464355211
oct1556423154
9531317710
10230303340
11109000343
1265165490
1338937387
142282db08
1515343060
hexdba266c

230303340 has 144 divisors (see below), whose sum is σ = 728582400. Its totient is φ = 58821120.

The previous prime is 230303327. The next prime is 230303363. The reversal of 230303340 is 43303032.

230303340 is a `hidden beast` number, since 23 + 0 + 303 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 831282 + ... + 831558.

It is an arithmetic number, because the mean of its divisors is an integer number (5059600).

Almost surely, 2230303340 is an apocalyptic number.

230303340 is a gapful number since it is divisible by the number (20) 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 230303340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364291200).

230303340 is an abundant number, since it is smaller than the sum of its proper divisors (498279060).

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

230303340 is a wasteful number, since it uses less digits than its factorization.

230303340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

The square root of 230303340 is about 15175.7484164703. The cubic root of 230303340 is about 612.9618030554.

Adding to 230303340 its reverse (43303032), we get a palindrome (273606372).

The spelling of 230303340 in words is "two hundred thirty million, three hundred three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 149 155 180 186 277 279 298 310 372 447 465 554 558 596 620 745 831 894 930 1108 1116 1341 1385 1395 1490 1662 1788 1860 2235 2493 2682 2770 2790 2980 3324 4155 4470 4619 4986 5364 5540 5580 6705 8310 8587 8940 9238 9972 12465 13410 13857 16620 17174 18476 23095 24930 25761 26820 27714 34348 41273 41571 42935 46190 49860 51522 55428 69285 77283 82546 83142 85870 92380 103044 123819 128805 138570 154566 165092 166284 171740 206365 207855 247638 257610 277140 309132 371457 386415 412730 415710 495276 515220 619095 742914 772830 825460 831420 1238190 1279463 1485828 1545660 1857285 2476380 2558926 3714570 3838389 5117852 6397315 7429140 7676778 11515167 12794630 15353556 19191945 23030334 25589260 38383890 46060668 57575835 76767780 115151670 230303340