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134203320 = 233251133299
BaseRepresentation
bin1111111111111…
…00011110111000
3100100112020100100
413333330132320
5233324001240
621152235400
73216465216
oct777743670
9310466310
10134203320
1169832a39
1238b3bb60
1321a5aa64
1413b75cb6
15bbade30
hex7ffc7b8

134203320 has 96 divisors (see below), whose sum is σ = 440154000. Its totient is φ = 35460096.

The previous prime is 134203297. The next prime is 134203331. The reversal of 134203320 is 23302431.

134203320 is a `hidden beast` number, since 1 + 342 + 0 + 3 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 134203293 and 134203302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39031 + ... + 42329.

Almost surely, 2134203320 is an apocalyptic number.

134203320 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 134203320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220077000).

134203320 is an abundant number, since it is smaller than the sum of its proper divisors (305950680).

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

134203320 is a wasteful number, since it uses less digits than its factorization.

134203320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3429 (or 3422 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 134203320 is about 11584.6156604352. The cubic root of 134203320 is about 511.9816786250.

Adding to 134203320 its reverse (23302431), we get a palindrome (157505751).

The spelling of 134203320 in words is "one hundred thirty-four million, two hundred three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 113 120 180 226 339 360 452 565 678 904 1017 1130 1356 1695 2034 2260 2712 3299 3390 4068 4520 5085 6598 6780 8136 9897 10170 13196 13560 16495 19794 20340 26392 29691 32990 39588 40680 49485 59382 65980 79176 98970 118764 131960 148455 197940 237528 296910 372787 395880 593820 745574 1118361 1187640 1491148 1863935 2236722 2982296 3355083 3727870 4473444 5591805 6710166 7455740 8946888 11183610 13420332 14911480 16775415 22367220 26840664 33550830 44734440 67101660 134203320