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243353440 = 25511372101
BaseRepresentation
bin11101000000101…
…00011101100000
3121221220122011101
432200110131200
5444244302230
640051524144
76013320151
oct1640243540
9557818141
10243353440
11115404050
12695b9654
133b556325
1424469928
151656eaca
hexe814760

243353440 has 144 divisors (see below), whose sum is σ = 650979504. Its totient is φ = 85248000.

The previous prime is 243353401. The next prime is 243353443. The reversal of 243353440 is 44353342.

It is a junction number, because it is equal to n+sod(n) for n = 243353399 and 243353408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243353443) 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 23 ways as a sum of consecutive naturals, for example, 2409390 + ... + 2409490.

It is an arithmetic number, because the mean of its divisors is an integer number (4520691).

Almost surely, 2243353440 is an apocalyptic number.

243353440 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 243353440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325489752).

243353440 is an abundant number, since it is smaller than the sum of its proper divisors (407626064).

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

243353440 is a wasteful number, since it uses less digits than its factorization.

243353440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 28.

The square root of 243353440 is about 15599.7897421728. The cubic root of 243353440 is about 624.3275455475.

The spelling of 243353440 in words is "two hundred forty-three million, three hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 37 40 44 55 74 80 88 101 110 148 160 176 185 202 220 296 352 370 404 407 440 505 592 740 808 814 880 1010 1111 1184 1369 1480 1616 1628 1760 2020 2035 2222 2738 2960 3232 3256 3737 4040 4070 4444 5476 5555 5920 6512 6845 7474 8080 8140 8888 10952 11110 13024 13690 14948 15059 16160 16280 17776 18685 21904 22220 27380 29896 30118 32560 35552 37370 41107 43808 44440 54760 59792 60236 65120 74740 75295 82214 88880 109520 119584 120472 138269 149480 150590 164428 177760 205535 219040 240944 276538 298960 301180 328856 411070 481888 553076 597920 602360 657712 691345 822140 1106152 1204720 1315424 1382690 1520959 1644280 2212304 2409440 2765380 3041918 3288560 4424608 5530760 6083836 6577120 7604795 11061520 12167672 15209590 22123040 24335344 30419180 48670688 60838360 121676720 243353440