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135331434 = 23272153437
BaseRepresentation
bin10000001000011…
…11111001101010
3100102122112211100
420010033321222
5234121101214
621232342230
73232204200
oct1004177152
9312575740
10135331434
116a433567
12393a4976
1322064394
1413d8b070
15bd33309
hex810fe6a

135331434 has 36 divisors (see below), whose sum is σ = 341092674. Its totient is φ = 38665872.

The previous prime is 135331423. The next prime is 135331451. The reversal of 135331434 is 434133531.

It can be written as a sum of positive squares in only one way, i.e., 83448225 + 51883209 = 9135^2 + 7203^2 .

It is a junction number, because it is equal to n+sod(n) for n = 135331398 and 135331407.

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 17 ways as a sum of consecutive naturals, for example, 75837 + ... + 77600.

Almost surely, 2135331434 is an apocalyptic number.

135331434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

135331434 is an abundant number, since it is smaller than the sum of its proper divisors (205761240).

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

135331434 is a wasteful number, since it uses less digits than its factorization.

135331434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153459 (or 153449 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

The square root of 135331434 is about 11633.2039438841. The cubic root of 135331434 is about 513.4122514113.

Adding to 135331434 its reverse (434133531), we get a palindrome (569464965).

The spelling of 135331434 in words is "one hundred thirty-five million, three hundred thirty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 153437 306874 460311 920622 1074059 1380933 2148118 2761866 3222177 6444354 7518413 9666531 15036826 19333062 22555239 45110478 67665717 135331434