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238631064 = 233711711213
BaseRepresentation
bin11100011100100…
…11100010011000
3121122000201021120
432032103202120
5442042143224
635402405240
75625221250
oct1616234230
9548021246
10238631064
11112779061
1267b00820
133a591a19
142399a960
1515e3a779
hexe393898

238631064 has 64 divisors (see below), whose sum is σ = 682947840. Its totient is φ = 68065920.

The previous prime is 238631033. The next prime is 238631077. The reversal of 238631064 is 460136832.

238631064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196122 + ... + 197334.

It is an arithmetic number, because the mean of its divisors is an integer number (10671060).

Almost surely, 2238631064 is an apocalyptic number.

238631064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

238631064 is an abundant number, since it is smaller than the sum of its proper divisors (444316776).

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

238631064 is a wasteful number, since it uses less digits than its factorization.

238631064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2400 (or 2396 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 238631064 is about 15447.6879823487. The cubic root of 238631064 is about 620.2626913192.

Adding to 238631064 its reverse (460136832), we get a palindrome (698767896).

The spelling of 238631064 in words is "two hundred thirty-eight million, six hundred thirty-one thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 1171 1213 2342 2426 3513 3639 4684 4852 7026 7278 8197 8491 9368 9704 14052 14556 16394 16982 24591 25473 28104 29112 32788 33964 49182 50946 65576 67928 98364 101892 196728 203784 1420423 2840846 4261269 5681692 8522538 9942961 11363384 17045076 19885922 29828883 34090152 39771844 59657766 79543688 119315532 238631064