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134344200 = 233521713171
BaseRepresentation
bin10000000000111…
…10111000001000
3100100210101121010
420000132320020
5233343003300
621155243520
73220623024
oct1000367010
9310711533
10134344200
1169919871
1238ba95a0
1321aa9c13
1413bb1384
15bbdaa50
hex801ee08

134344200 has 96 divisors (see below), whose sum is σ = 440998560. Its totient is φ = 33715200.

The previous prime is 134344187. The next prime is 134344237. The reversal of 134344200 is 2443431.

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, 3615 + ... + 16785.

It is an arithmetic number, because the mean of its divisors is an integer number (4593735).

Almost surely, 2134344200 is an apocalyptic number.

134344200 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 134344200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220499280).

134344200 is an abundant number, since it is smaller than the sum of its proper divisors (306654360).

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

134344200 is a wasteful number, since it uses less digits than its factorization.

134344200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13207 (or 13198 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 134344200 is about 11590.6945434689. The cubic root of 134344200 is about 512.1607669784.

Adding to 134344200 its reverse (2443431), we get a palindrome (136787631).

The spelling of 134344200 in words is "one hundred thirty-four million, three hundred forty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 136 150 170 200 204 255 300 340 408 425 510 600 680 850 1020 1275 1700 2040 2550 3400 5100 10200 13171 26342 39513 52684 65855 79026 105368 131710 158052 197565 223907 263420 316104 329275 395130 447814 526840 658550 671721 790260 895628 987825 1119535 1317100 1343442 1580520 1791256 1975650 2239070 2634200 2686884 3358605 3951300 4478140 5373768 5597675 6717210 7902600 8956280 11195350 13434420 16793025 22390700 26868840 33586050 44781400 67172100 134344200