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243352340 = 225711295449
BaseRepresentation
bin11101000000101…
…00001100010100
3121221220120122122
432200110030110
5444244233330
640051515112
76013314020
oct1640241424
9557816578
10243352340
11115403240
12695b8a98
133b55598a
1424469380
151656e5e5
hexe814314

243352340 has 96 divisors (see below), whose sum is σ = 659232000. Its totient is φ = 73221120.

The previous prime is 243352321. The next prime is 243352379. The reversal of 243352340 is 43253342.

It is a super-2 number, since 2×2433523402 = 118440722766951200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41936 + ... + 47384.

It is an arithmetic number, because the mean of its divisors is an integer number (6867000).

Almost surely, 2243352340 is an apocalyptic number.

243352340 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 243352340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329616000).

243352340 is an abundant number, since it is smaller than the sum of its proper divisors (415879660).

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

243352340 is a wasteful number, since it uses less digits than its factorization.

243352340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5505 (or 5503 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 26.

The square root of 243352340 is about 15599.7544852475. The cubic root of 243352340 is about 624.3266048563.

The spelling of 243352340 in words is "two hundred forty-three million, three hundred fifty-two thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 29 35 44 55 58 70 77 110 116 140 145 154 203 220 290 308 319 385 406 580 638 770 812 1015 1276 1540 1595 2030 2233 3190 4060 4466 5449 6380 8932 10898 11165 21796 22330 27245 38143 44660 54490 59939 76286 108980 119878 152572 158021 190715 239756 299695 316042 381430 419573 599390 632084 762860 790105 839146 1106147 1198780 1580210 1678292 1738231 2097865 2212294 3160420 3476462 4195730 4424588 5530735 6952924 8391460 8691155 11061470 12167617 17382310 22122940 24335234 34764620 48670468 60838085 121676170 243352340