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238688240 = 2457426229
BaseRepresentation
bin11100011101000…
…01011111110000
3121122010121201012
432032201133300
5442101010430
635403530052
75625550040
oct1616413760
9548117635
10238688240
1111280800a
1267b29928
133a5b1a5b
14239b3720
1515e4c695
hexe3a17f0

238688240 has 40 divisors (see below), whose sum is σ = 634230240. Its totient is φ = 81835776.

The previous prime is 238688209. The next prime is 238688249. The reversal of 238688240 is 42886832.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238688249) 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, 212555 + ... + 213674.

It is an arithmetic number, because the mean of its divisors is an integer number (15855756).

Almost surely, 2238688240 is an apocalyptic number.

238688240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

238688240 is an abundant number, since it is smaller than the sum of its proper divisors (395542000).

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

238688240 is a wasteful number, since it uses less digits than its factorization.

238688240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426249 (or 426243 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 41.

The square root of 238688240 is about 15449.5385044344. The cubic root of 238688240 is about 620.3122256744.

The spelling of 238688240 in words is "two hundred thirty-eight million, six hundred eighty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 426229 852458 1704916 2131145 2983603 3409832 4262290 5967206 6819664 8524580 11934412 14918015 17049160 23868824 29836030 34098320 47737648 59672060 119344120 238688240