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34663140 = 2234521397
BaseRepresentation
bin1000010000111…
…0101011100100
32102020001220000
42010032223210
532333210030
63234541300
7600426501
oct204165344
972201800
1034663140
1118625a26
12b737830
137248645
1448644a8
15309a860
hex210eae4

34663140 has 60 divisors (see below), whose sum is σ = 108744636. Its totient is φ = 9243072.

The previous prime is 34663133. The next prime is 34663157. The reversal of 34663140 is 4136643.

34663140 is a `hidden beast` number, since 346 + 6 + 314 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25948836 + 8714304 = 5094^2 + 2952^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9079 + ... + 12318.

Almost surely, 234663140 is an apocalyptic number.

34663140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34663140 is an abundant number, since it is smaller than the sum of its proper divisors (74081496).

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

34663140 is a wasteful number, since it uses less digits than its factorization.

34663140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21418 (or 21407 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 34663140 is about 5887.5410826592. The cubic root of 34663140 is about 326.0538257818.

Adding to 34663140 its reverse (4136643), we get a palindrome (38799783).

The spelling of 34663140 in words is "thirty-four million, six hundred sixty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 21397 42794 64191 85588 106985 128382 192573 213970 256764 320955 385146 427940 577719 641910 770292 962865 1155438 1283820 1733157 1925730 2310876 2888595 3466314 3851460 5777190 6932628 8665785 11554380 17331570 34663140