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340105740 = 2235132171973
BaseRepresentation
bin10100010001011…
…001101000001100
3212200222011100220
4110101121220030
51144031340430
653425351340
711266564632
oct2421315014
9780864326
10340105740
11164a87527
1295a98550
1355600800
1433253352
151ecd2110
hex14459a0c

340105740 has 144 divisors (see below), whose sum is σ = 1092395808. Its totient is φ = 78753792.

The previous prime is 340105729. The next prime is 340105747. The reversal of 340105740 is 47501043.

It is a self number, because there is not a number n which added to its sum of digits gives 340105740.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340105747) by changing a digit.

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, 171394 + ... + 173366.

It is an arithmetic number, because the mean of its divisors is an integer number (7586082).

Almost surely, 2340105740 is an apocalyptic number.

340105740 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 340105740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546197904).

340105740 is an abundant number, since it is smaller than the sum of its proper divisors (752290068).

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

340105740 is a wasteful number, since it uses less digits than its factorization.

340105740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2028 (or 2013 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 340105740 is about 18441.9559700158. The cubic root of 340105740 is about 698.0255516737.

Adding to 340105740 its reverse (47501043), we get a palindrome (387606783).

The spelling of 340105740 in words is "three hundred forty million, one hundred five thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 17 20 26 30 34 39 51 52 60 65 68 78 85 102 130 156 169 170 195 204 221 255 260 338 340 390 442 507 510 663 676 780 845 884 1014 1020 1105 1326 1690 1973 2028 2210 2535 2652 2873 3315 3380 3946 4420 5070 5746 5919 6630 7892 8619 9865 10140 11492 11838 13260 14365 17238 19730 23676 25649 28730 29595 33541 34476 39460 43095 51298 57460 59190 67082 76947 86190 100623 102596 118380 128245 134164 153894 167705 172380 201246 256490 307788 333437 335410 384735 402492 436033 503115 512980 666874 670820 769470 872066 1000311 1006230 1308099 1333748 1538940 1667185 1744132 2000622 2012460 2180165 2616198 3334370 4001244 4360330 5001555 5232396 5668429 6540495 6668740 8720660 10003110 11336858 13080990 17005287 20006220 22673716 26161980 28342145 34010574 56684290 68021148 85026435 113368580 170052870 340105740