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243342400 = 2652721727
BaseRepresentation
bin11101000000100…
…01110001000000
3121221220002000111
432200101301000
5444243424100
640051401104
76013243030
oct1640216100
9557802014
10243342400
111153a6824
12695b3194
133b5512b2
14244658c0
151656b6ba
hexe811c40

243342400 has 84 divisors (see below), whose sum is σ = 684345088. Its totient is φ = 83427840.

The previous prime is 243342397. The next prime is 243342401. The reversal of 243342400 is 4243342.

243342400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (243342401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 337 + ... + 22063.

Almost surely, 2243342400 is an apocalyptic number.

243342400 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 243342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342172544).

243342400 is an abundant number, since it is smaller than the sum of its proper divisors (441002688).

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

243342400 is a wasteful number, since it uses less digits than its factorization.

243342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21756 (or 21741 counting only the distinct ones).

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

The square root of 243342400 is about 15599.4358872364. The cubic root of 243342400 is about 624.3181042998.

Adding to 243342400 its reverse (4243342), we get a palindrome (247585742).

The spelling of 243342400 in words is "two hundred forty-three million, three hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 140 160 175 200 224 280 320 350 400 448 560 700 800 1120 1400 1600 2240 2800 5600 11200 21727 43454 86908 108635 152089 173816 217270 304178 347632 434540 543175 608356 695264 760445 869080 1086350 1216712 1390528 1520890 1738160 2172700 2433424 3041780 3476320 3802225 4345400 4866848 6083560 6952640 7604450 8690800 9733696 12167120 15208900 17381600 24334240 30417800 34763200 48668480 60835600 121671200 243342400