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243214240 = 2551789417
BaseRepresentation
bin11100111111100…
…10011110100000
3121221122120012211
432133302132200
5444230323430
640044531504
76012200263
oct1637623640
9557576184
10243214240
11115319505
1269550b94
133b507b69
1424430cda
151654372a
hexe7f27a0

243214240 has 48 divisors (see below), whose sum is σ = 608400072. Its totient is φ = 91561984.

The previous prime is 243214229. The next prime is 243214241. The reversal of 243214240 is 42412342.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 242238096 + 976144 = 15564^2 + 988^2 .

It is not an unprimeable number, because it can be changed into a prime (243214241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41989 + ... + 47428.

Almost surely, 2243214240 is an apocalyptic number.

243214240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

243214240 is an abundant number, since it is smaller than the sum of its proper divisors (365185832).

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

243214240 is a wasteful number, since it uses less digits than its factorization.

243214240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89449 (or 89441 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 243214240 is about 15595.3275053780. The cubic root of 243214240 is about 624.2084828241.

Adding to 243214240 its reverse (42412342), we get a palindrome (285626582).

It can be divided in two parts, 24321 and 4240, that added together give a 4-th power (28561 = 134).

The spelling of 243214240 in words is "two hundred forty-three million, two hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 89417 178834 357668 447085 715336 894170 1430672 1520089 1788340 2861344 3040178 3576680 6080356 7153360 7600445 12160712 14306720 15200890 24321424 30401780 48642848 60803560 121607120 243214240