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243209040 = 24351636217
BaseRepresentation
bin11100111111100…
…01001101010000
3121221122022002020
432133301031100
5444230142130
640044451440
76012146154
oct1637611520
9557568066
10243209040
11115315608
1269549b80
133b505699
142442d064
1516541e10
hexe7f1350

243209040 has 80 divisors (see below), whose sum is σ = 758695488. Its totient is φ = 64447488.

The previous prime is 243209039. The next prime is 243209041. The reversal of 243209040 is 40902342.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (243209039) and next prime (243209041).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 243209040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243209041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36012 + ... + 42228.

Almost surely, 2243209040 is an apocalyptic number.

243209040 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 243209040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379347744).

243209040 is an abundant number, since it is smaller than the sum of its proper divisors (515486448).

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

243209040 is a wasteful number, since it uses less digits than its factorization.

243209040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6396 (or 6390 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 243209040 is about 15595.1607878855. The cubic root of 243209040 is about 624.2040341985.

The spelling of 243209040 in words is "two hundred forty-three million, two hundred nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 163 240 326 489 652 815 978 1304 1630 1956 2445 2608 3260 3912 4890 6217 6520 7824 9780 12434 13040 18651 19560 24868 31085 37302 39120 49736 62170 74604 93255 99472 124340 149208 186510 248680 298416 373020 497360 746040 1013371 1492080 2026742 3040113 4053484 5066855 6080226 8106968 10133710 12160452 15200565 16213936 20267420 24320904 30401130 40534840 48641808 60802260 81069680 121604520 243209040