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234138144 = 25317143467
BaseRepresentation
bin11011111010010…
…10101000100000
3121022120110011010
431331022220200
5434414410034
635122220520
75542066332
oct1575125040
9538513133
10234138144
1111018a4a9
12664b4740
133967a9a6
142314b452
151584e3e9
hexdf4aa20

234138144 has 48 divisors (see below), whose sum is σ = 650770848. Its totient is φ = 73454592.

The previous prime is 234138131. The next prime is 234138169. The reversal of 234138144 is 441831432.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

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 7 ways as a sum of consecutive naturals, for example, 70102 + ... + 73365.

It is an arithmetic number, because the mean of its divisors is an integer number (13557726).

Almost surely, 2234138144 is an apocalyptic number.

234138144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

234138144 is an abundant number, since it is smaller than the sum of its proper divisors (416632704).

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

234138144 is a wasteful number, since it uses less digits than its factorization.

234138144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143497 (or 143489 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 234138144 is about 15301.5732524470. The cubic root of 234138144 is about 616.3452553787.

Adding to 234138144 its reverse (441831432), we get a palindrome (675969576).

The spelling of 234138144 in words is "two hundred thirty-four million, one hundred thirty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 143467 286934 430401 573868 860802 1147736 1721604 2295472 2438939 3443208 4590944 4877878 6886416 7316817 9755756 13772832 14633634 19511512 29267268 39023024 58534536 78046048 117069072 234138144