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134035440 = 24357117253
BaseRepresentation
bin1111111110100…
…11011111110000
3100100012201001120
413333103133300
5233303113230
621144502240
73215165610
oct777233760
9310181046
10134035440
11697288a0
1238a7a980
13219cc516
1413b30a40
15bb79310
hex7fd37f0

134035440 has 160 divisors (see below), whose sum is σ = 518109696. Its totient is φ = 27847680.

The previous prime is 134035439. The next prime is 134035441. The reversal of 134035440 is 44530431.

It is an interprime number because it is at equal distance from previous prime (134035439) and next prime (134035441).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 134035440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134035441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14854 + ... + 22106.

Almost surely, 2134035440 is an apocalyptic number.

134035440 is a gapful number since it is divisible by the number (10) 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 134035440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259054848).

134035440 is an abundant number, since it is smaller than the sum of its proper divisors (384074256).

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

134035440 is a wasteful number, since it uses less digits than its factorization.

134035440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7287 (or 7281 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 134035440 is about 11577.3675764398. The cubic root of 134035440 is about 511.7681038065.

Adding to 134035440 its reverse (44530431), we get a palindrome (178565871).

The spelling of 134035440 in words is "one hundred thirty-four million, thirty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 28 30 33 35 40 42 44 48 55 56 60 66 70 77 80 84 88 105 110 112 120 132 140 154 165 168 176 210 220 231 240 264 280 308 330 336 385 420 440 462 528 560 616 660 770 840 880 924 1155 1232 1320 1540 1680 1848 2310 2640 3080 3696 4620 6160 7253 9240 14506 18480 21759 29012 36265 43518 50771 58024 72530 79783 87036 101542 108795 116048 145060 152313 159566 174072 203084 217590 239349 253855 290120 304626 319132 348144 398915 406168 435180 478698 507710 558481 580240 609252 638264 761565 797830 812336 870360 957396 1015420 1116962 1196745 1218504 1276528 1523130 1595660 1675443 1740720 1914792 2030840 2233924 2393490 2437008 2792405 3046260 3191320 3350886 3829584 4061680 4467848 4786980 5584810 6092520 6382640 6701772 8377215 8935696 9573960 11169620 12185040 13403544 16754430 19147920 22339240 26807088 33508860 44678480 67017720 134035440