Search a number
-
+
1730741040 = 243357114467
BaseRepresentation
bin110011100101001…
…0000001100110000
311110121200202101000
41213022100030300
512021032203130
6443423442000
760614025150
oct14712201460
94417622330
101730741040
11808a5a3a6
12403756300
13217750932
14125c08760
15a1e27260
hex67290330

1730741040 has 160 divisors (see below), whose sum is σ = 6813135360. Its totient is φ = 395594496.

The previous prime is 1730741039. The next prime is 1730741041. The reversal of 1730741040 is 401470371.

It is an interprime number because it is at equal distance from previous prime (1730741039) and next prime (1730741041).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1730740995 and 1730741013.

It is not an unprimeable number, because it can be changed into a prime (1730741041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42114 + ... + 72353.

It is an arithmetic number, because the mean of its divisors is an integer number (42582096).

Almost surely, 21730741040 is an apocalyptic number.

1730741040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1730741040 is an abundant number, since it is smaller than the sum of its proper divisors (5082394320).

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

1730741040 is a wasteful number, since it uses less digits than its factorization.

1730741040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114496 (or 114484 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 1730741040 is about 41602.1759046327. The cubic root of 1730741040 is about 1200.6341648035.

The spelling of 1730741040 in words is "one billion, seven hundred thirty million, seven hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 135 140 144 168 180 189 210 216 240 252 270 280 315 336 360 378 420 432 504 540 560 630 720 756 840 945 1008 1080 1260 1512 1680 1890 2160 2520 3024 3780 5040 7560 15120 114467 228934 343401 457868 572335 686802 801269 915736 1030203 1144670 1373604 1602538 1717005 1831472 2060406 2289340 2403807 2747208 3090609 3205076 3434010 4006345 4120812 4578680 4807614 5151015 5494416 6181218 6410152 6868020 7211421 8012690 8241624 9157360 9615228 10302030 12019035 12362436 12820304 13736040 14422842 15453045 16025380 16483248 19230456 20604060 21634263 24038070 24724872 27472080 28845684 30906090 32050760 36057105 38460912 41208120 43268526 48076140 49449744 57691368 61812180 64101520 72114210 82416240 86537052 96152280 108171315 115382736 123624360 144228420 173074104 192304560 216342630 247248720 288456840 346148208 432685260 576913680 865370520 1730741040