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238743072 = 2533276323
BaseRepresentation
bin11100011101011…
…10111000100000
3121122020101221000
432032232320200
5442104234242
635405032000
75626165641
oct1616567040
9548211830
10238743072
11112845227
1267b55600
133a6009b9
14239c96c8
1515e5da4c
hexe3aee20

238743072 has 48 divisors (see below), whose sum is σ = 696336480. Its totient is φ = 79580736.

The previous prime is 238743049. The next prime is 238743083. The reversal of 238743072 is 270347832.

238743072 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 (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137298 + ... + 139025.

It is an arithmetic number, because the mean of its divisors is an integer number (14507010).

Almost surely, 2238743072 is an apocalyptic number.

It is an amenable number.

238743072 is an abundant number, since it is smaller than the sum of its proper divisors (457593408).

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

238743072 is a wasteful number, since it uses less digits than its factorization.

238743072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276342 (or 276328 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 238743072 is about 15451.3129539208. The cubic root of 238743072 is about 620.3597218781.

The spelling of 238743072 in words is "two hundred thirty-eight million, seven hundred forty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 276323 552646 828969 1105292 1657938 2210584 2486907 3315876 4421168 4973814 6631752 7460721 8842336 9947628 13263504 14921442 19895256 26527008 29842884 39790512 59685768 79581024 119371536 238743072