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238916064 = 2532488709
BaseRepresentation
bin11100011110110…
…01000111100000
3121122120012020010
432033121013200
5442130303224
635412444520
75630516202
oct1617310740
9548505203
10238916064
111129531a2
1268019740
133a66166a
1423a32772
1515e94e29
hexe3d91e0

238916064 has 24 divisors (see below), whose sum is σ = 627154920. Its totient is φ = 79638656.

The previous prime is 238916063. The next prime is 238916129. The reversal of 238916064 is 460619832.

238916064 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238916063) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1244259 + ... + 1244450.

It is an arithmetic number, because the mean of its divisors is an integer number (26131455).

Almost surely, 2238916064 is an apocalyptic number.

238916064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

238916064 is an abundant number, since it is smaller than the sum of its proper divisors (388238856).

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

238916064 is a wasteful number, since it uses less digits than its factorization.

238916064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2488722 (or 2488714 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 238916064 is about 15456.9099111045. The cubic root of 238916064 is about 620.5095221885.

The spelling of 238916064 in words is "two hundred thirty-eight million, nine hundred sixteen thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2488709 4977418 7466127 9954836 14932254 19909672 29864508 39819344 59729016 79638688 119458032 238916064