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243340240 = 245111389239
BaseRepresentation
bin11101000000100…
…01001111010000
3121221212222001111
432200101033100
5444243341430
640051343104
76013233523
oct1640211720
9557788044
10243340240
111153a5140
12695b1a94
133b550310
1424464bba
151656ac2a
hexe8113d0

243340240 has 160 divisors (see below), whose sum is σ = 674956800. Its totient is φ = 80424960.

The previous prime is 243340213. The next prime is 243340267. The reversal of 243340240 is 42043342.

It is an interprime number because it is at equal distance from previous prime (243340213) and next prime (243340267).

It is a Harshad number since it is a multiple of its sum of digits (22).

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 31 ways as a sum of consecutive naturals, for example, 1018041 + ... + 1018279.

It is an arithmetic number, because the mean of its divisors is an integer number (4218480).

Almost surely, 2243340240 is an apocalyptic number.

243340240 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 243340240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337478400).

243340240 is an abundant number, since it is smaller than the sum of its proper divisors (431616560).

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

243340240 is a wasteful number, since it uses less digits than its factorization.

243340240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 243340240 is about 15599.3666538100. The cubic root of 243340240 is about 624.3162570657.

Adding to 243340240 its reverse (42043342), we get a palindrome (285383582).

The spelling of 243340240 in words is "two hundred forty-three million, three hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 88 89 104 110 130 143 176 178 208 220 239 260 286 356 440 445 478 520 572 712 715 880 890 956 979 1040 1144 1157 1195 1424 1430 1780 1912 1958 2288 2314 2390 2629 2860 3107 3560 3824 3916 4628 4780 4895 5258 5720 5785 6214 7120 7832 9256 9560 9790 10516 11440 11570 12428 12727 13145 15535 15664 18512 19120 19580 21032 21271 23140 24856 25454 26290 31070 34177 39160 42064 42542 46280 49712 50908 52580 62140 63635 68354 78320 85084 92560 101816 105160 106355 124280 127270 136708 170168 170885 203632 210320 212710 233981 248560 254540 273416 276523 340336 341770 425420 467962 509080 546832 553046 683540 850840 935924 1018160 1106092 1169905 1367080 1382615 1701680 1871848 2212184 2339810 2734160 2765230 3041753 3743696 4424368 4679620 5530460 6083506 9359240 11060920 12167012 15208765 18718480 22121840 24334024 30417530 48668048 60835060 121670120 243340240