Search a number
-
+
135430344 = 23327379709
BaseRepresentation
bin10000001001010…
…00000011001000
3100102211120111200
420010220003020
5234132232334
621234424200
73233065440
oct1004500310
9312746450
10135430344
116a4a0905
1239432060
132209a3ca
1413db5120
15bd52799
hex81280c8

135430344 has 96 divisors (see below), whose sum is σ = 420888000. Its totient is φ = 38537856.

The previous prime is 135430331. The next prime is 135430357. The reversal of 135430344 is 443034531.

135430344 is a `hidden beast` number, since 1 + 354 + 303 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (135430331) and next prime (135430357).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190662 + ... + 191370.

It is an arithmetic number, because the mean of its divisors is an integer number (4384250).

Almost surely, 2135430344 is an apocalyptic number.

135430344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135430344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210444000).

135430344 is an abundant number, since it is smaller than the sum of its proper divisors (285457656).

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

135430344 is a wasteful number, since it uses less digits than its factorization.

135430344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 135430344 is about 11637.4543608128. The cubic root of 135430344 is about 513.5373005535.

Adding to 135430344 its reverse (443034531), we get a palindrome (578464875).

The spelling of 135430344 in words is "one hundred thirty-five million, four hundred thirty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 379 504 709 758 1137 1418 1516 2127 2274 2653 2836 3032 3411 4254 4548 4963 5306 5672 6381 6822 7959 8508 9096 9926 10612 12762 13644 14889 15918 17016 19852 21224 23877 25524 27288 29778 31836 39704 44667 47754 51048 59556 63672 89334 95508 119112 178668 191016 268711 357336 537422 806133 1074844 1612266 1880977 2149688 2418399 3224532 3761954 4836798 5642931 6449064 7523908 9673596 11285862 15047816 16928793 19347192 22571724 33857586 45143448 67715172 135430344