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134033600 = 2652194409
BaseRepresentation
bin1111111110100…
…11000011000000
3100100012121112102
413333103003000
5233303033400
621144445532
73215160341
oct777230300
9310177472
10134033600
1169727478
1238a798a8
13219cb72c
1413b300c8
15bb789d5
hex7fd30c0

134033600 has 84 divisors (see below), whose sum is σ = 347243400. Its totient is φ = 50780160.

The previous prime is 134033579. The next prime is 134033609. The reversal of 134033600 is 6330431.

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

It is not an unprimeable number, because it can be changed into a prime (134033609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28196 + ... + 32604.

It is an arithmetic number, because the mean of its divisors is an integer number (4133850).

Almost surely, 2134033600 is an apocalyptic number.

134033600 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 134033600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173621700).

134033600 is an abundant number, since it is smaller than the sum of its proper divisors (213209800).

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

134033600 is a wasteful number, since it uses less digits than its factorization.

134033600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4450 (or 4435 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 134033600 is about 11577.2881107797. The cubic root of 134033600 is about 511.7657619940.

The spelling of 134033600 in words is "one hundred thirty-four million, thirty-three thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 152 160 190 200 304 320 380 400 475 608 760 800 950 1216 1520 1600 1900 3040 3800 4409 6080 7600 8818 15200 17636 22045 30400 35272 44090 70544 83771 88180 110225 141088 167542 176360 220450 282176 335084 352720 418855 440900 670168 705440 837710 881800 1340336 1410880 1675420 1763600 2094275 2680672 3350840 3527200 4188550 5361344 6701680 7054400 8377100 13403360 16754200 26806720 33508400 67016800 134033600