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134282340 = 223351391789
BaseRepresentation
bin10000000000011…
…11110001100100
3100100200020202000
420000033301210
5233334013330
621154045300
73220244463
oct1000176144
9310606660
10134282340
1169887345
1238b79830
1321a87a0a
1413b969da
15bbc7560
hex800fc64

134282340 has 96 divisors (see below), whose sum is σ = 421008000. Its totient is φ = 35531136.

The previous prime is 134282333. The next prime is 134282341. The reversal of 134282340 is 43282431.

134282340 is a `hidden beast` number, since 1 + 3 + 428 + 234 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (134282341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74166 + ... + 75954.

It is an arithmetic number, because the mean of its divisors is an integer number (4385500).

Almost surely, 2134282340 is an apocalyptic number.

134282340 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 134282340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210504000).

134282340 is an abundant number, since it is smaller than the sum of its proper divisors (286725660).

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

134282340 is a wasteful number, since it uses less digits than its factorization.

134282340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1946 (or 1938 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 134282340 is about 11588.0257162297. The cubic root of 134282340 is about 512.0821452265.

Subtracting from 134282340 its reverse (43282431), we obtain a palindrome (90999909).

The spelling of 134282340 in words is "one hundred thirty-four million, two hundred eighty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 139 180 270 278 417 540 556 695 834 1251 1390 1668 1789 2085 2502 2780 3578 3753 4170 5004 5367 6255 7156 7506 8340 8945 10734 12510 15012 16101 17890 18765 21468 25020 26835 32202 35780 37530 48303 53670 64404 75060 80505 96606 107340 161010 193212 241515 248671 322020 483030 497342 746013 966060 994684 1243355 1492026 2238039 2486710 2984052 3730065 4476078 4973420 6714117 7460130 8952156 11190195 13428234 14920260 22380390 26856468 33570585 44760780 67141170 134282340