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234440640 = 26325729401
BaseRepresentation
bin11011111100101…
…00011111000000
3121100010211002200
431332110133000
5440004100030
635132513200
75544466260
oct1576243700
9540124080
10234440640
111103767a5
126661b800
1339755595
14231c97a0
15158add60
hexdf947c0

234440640 has 336 divisors, whose sum is σ = 955730880. Its totient is φ = 51609600.

The previous prime is 234440627. The next prime is 234440641. The reversal of 234440640 is 46044432.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234440641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 584440 + ... + 584840.

Almost surely, 2234440640 is an apocalyptic number.

234440640 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 234440640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477865440).

234440640 is an abundant number, since it is smaller than the sum of its proper divisors (721290240).

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

234440640 is a wasteful number, since it uses less digits than its factorization.

234440640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 234440640 is about 15311.4545357389. The cubic root of 234440640 is about 616.6105713117.

The spelling of 234440640 in words is "two hundred thirty-four million, four hundred forty thousand, six hundred forty".