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134334400 = 2652113743
BaseRepresentation
bin10000000000111…
…00011111000000
3100100202220011011
420000130133000
5233342200100
621155130304
73220552324
oct1000343700
9310686134
10134334400
1169912472
1238ba3994
1321aa5615
1413bab984
15bbd7bba
hex801c7c0

134334400 has 84 divisors (see below), whose sum is σ = 333920592. Its totient is φ = 53186560.

The previous prime is 134334367. The next prime is 134334401. The reversal of 134334400 is 4433431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134334401) 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, 180429 + ... + 181171.

Almost surely, 2134334400 is an apocalyptic number.

134334400 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 134334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166960296).

134334400 is an abundant number, since it is smaller than the sum of its proper divisors (199586192).

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

134334400 is a wasteful number, since it uses less digits than its factorization.

134334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 134334400 is about 11590.2717828358. The cubic root of 134334400 is about 512.1483131532.

Adding to 134334400 its reverse (4433431), we get a palindrome (138767831).

The spelling of 134334400 in words is "one hundred thirty-four million, three hundred thirty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 113 160 200 226 320 400 452 565 743 800 904 1130 1486 1600 1808 2260 2825 2972 3616 3715 4520 5650 5944 7232 7430 9040 11300 11888 14860 18080 18575 22600 23776 29720 36160 37150 45200 47552 59440 74300 83959 90400 118880 148600 167918 180800 237760 297200 335836 419795 594400 671672 839590 1188800 1343344 1679180 2098975 2686688 3358360 4197950 5373376 6716720 8395900 13433440 16791800 26866880 33583600 67167200 134334400