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134335410 = 235112231609
BaseRepresentation
bin10000000000111…
…00101110110010
3100100202221112120
420000130232302
5233342213120
621155135110
73220555266
oct1000345662
9310687476
10134335410
1169913200
1238ba4496
1321aa5c11
1413bac0a6
15bbd8140
hex801cbb2

134335410 has 96 divisors (see below), whose sum is σ = 370016640. Its totient is φ = 31130880.

The previous prime is 134335363. The next prime is 134335429. The reversal of 134335410 is 14533431.

It is a happy number.

134335410 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 82686 + ... + 84294.

It is an arithmetic number, because the mean of its divisors is an integer number (3854340).

Almost surely, 2134335410 is an apocalyptic number.

134335410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 134335410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185008320).

134335410 is an abundant number, since it is smaller than the sum of its proper divisors (235681230).

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

134335410 is a wasteful number, since it uses less digits than its factorization.

134335410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664 (or 1653 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 134335410 is about 11590.3153537770. The cubic root of 134335410 is about 512.1495966876.

Adding to 134335410 its reverse (14533431), we get a palindrome (148868841).

The spelling of 134335410 in words is "one hundred thirty-four million, three hundred thirty-five thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 23 30 33 46 55 66 69 110 115 121 138 165 230 242 253 330 345 363 506 605 690 726 759 1210 1265 1518 1609 1815 2530 2783 3218 3630 3795 4827 5566 7590 8045 8349 9654 13915 16090 16698 17699 24135 27830 35398 37007 41745 48270 53097 74014 83490 88495 106194 111021 176990 185035 194689 222042 265485 370070 389378 407077 530970 555105 584067 814154 973445 1110210 1168134 1221231 1946890 2035385 2442462 2920335 4070770 4477847 5840670 6106155 8955694 12212310 13433541 22389235 26867082 44778470 67167705 134335410