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134393400 = 233252197379
BaseRepresentation
bin10000000001010…
…10111000111000
3100100212220002100
420000222320320
5233401042100
621200303400
73221216331
oct1000527070
9310786070
10134393400
1169952829
1239011b60
1321ac642b
1413bc5288
15bbea400
hex802ae38

134393400 has 144 divisors (see below), whose sum is σ = 454825800. Its totient is φ = 35562240.

The previous prime is 134393387. The next prime is 134393407. The reversal of 134393400 is 4393431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134393407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 354411 + ... + 354789.

Almost surely, 2134393400 is an apocalyptic number.

134393400 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 134393400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227412900).

134393400 is an abundant number, since it is smaller than the sum of its proper divisors (320432400).

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

134393400 is a wasteful number, since it uses less digits than its factorization.

134393400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 134393400 is about 11592.8167414136. The cubic root of 134393400 is about 512.2232811132.

The spelling of 134393400 in words is "one hundred thirty-four million, three hundred ninety-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 197 200 225 300 360 379 394 450 591 600 758 788 900 985 1137 1182 1516 1576 1773 1800 1895 1970 2274 2364 2955 3032 3411 3546 3790 3940 4548 4728 4925 5685 5910 6822 7092 7580 7880 8865 9096 9475 9850 11370 11820 13644 14184 14775 15160 17055 17730 18950 19700 22740 23640 27288 28425 29550 34110 35460 37900 39400 44325 45480 56850 59100 68220 70920 74663 75800 85275 88650 113700 118200 136440 149326 170550 177300 223989 227400 298652 341100 354600 373315 447978 597304 671967 682200 746630 895956 1119945 1343934 1493260 1791912 1866575 2239890 2687868 2986520 3359835 3733150 4479780 5375736 5599725 6719670 7466300 8959560 11199450 13439340 14932600 16799175 22398900 26878680 33598350 44797800 67196700 134393400