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134430320 = 24519591499
BaseRepresentation
bin10000000001100…
…11111001110000
3100100221202201202
420000303321300
5233403232240
621201150332
73221432063
oct1000637160
9310852652
10134430320
1169978542
123902b3a8
1321b0a18b
1413bd48da
15bc06315
hex8033e70

134430320 has 80 divisors (see below), whose sum is σ = 334800000. Its totient is φ = 50045184.

The previous prime is 134430299. The next prime is 134430323. The reversal of 134430320 is 23034431.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 134430292 and 134430301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134430323) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 88931 + ... + 90429.

It is an arithmetic number, because the mean of its divisors is an integer number (4185000).

Almost surely, 2134430320 is an apocalyptic number.

134430320 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 134430320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167400000).

134430320 is an abundant number, since it is smaller than the sum of its proper divisors (200369680).

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

134430320 is a wasteful number, since it uses less digits than its factorization.

134430320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 134430320 is about 11594.4089974436. The cubic root of 134430320 is about 512.2701821070.

Adding to 134430320 its reverse (23034431), we get a palindrome (157464751).

The spelling of 134430320 in words is "one hundred thirty-four million, four hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 59 76 80 95 118 152 190 236 295 304 380 472 590 760 944 1121 1180 1499 1520 2242 2360 2998 4484 4720 5605 5996 7495 8968 11210 11992 14990 17936 22420 23984 28481 29980 44840 56962 59960 88441 89680 113924 119920 142405 176882 227848 284810 353764 442205 455696 569620 707528 884410 1139240 1415056 1680379 1768820 2278480 3360758 3537640 6721516 7075280 8401895 13443032 16803790 26886064 33607580 67215160 134430320