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134430600 = 23352449499
BaseRepresentation
bin10000000001100…
…11111110001000
3100100221210010010
420000303332020
5233403234400
621201151520
73221432643
oct1000637610
9310853103
10134430600
1169978777
123902b5a0
1321b0a345
1413bd4a5a
15bc06450
hex8033f88

134430600 has 96 divisors (see below), whose sum is σ = 418500000. Its totient is φ = 35696640.

The previous prime is 134430589. The next prime is 134430617. The reversal of 134430600 is 6034431.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 269151 + ... + 269649.

It is an arithmetic number, because the mean of its divisors is an integer number (4359375).

Almost surely, 2134430600 is an apocalyptic number.

134430600 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 134430600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209250000).

134430600 is an abundant number, since it is smaller than the sum of its proper divisors (284069400).

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

134430600 is a wasteful number, since it uses less digits than its factorization.

134430600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 134430600 is about 11594.4210722226. The cubic root of 134430600 is about 512.2705377697.

The spelling of 134430600 in words is "one hundred thirty-four million, four hundred thirty thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 449 499 600 898 998 1347 1497 1796 1996 2245 2495 2694 2994 3592 3992 4490 4990 5388 5988 6735 7485 8980 9980 10776 11225 11976 12475 13470 14970 17960 19960 22450 24950 26940 29940 33675 37425 44900 49900 53880 59880 67350 74850 89800 99800 134700 149700 224051 269400 299400 448102 672153 896204 1120255 1344306 1792408 2240510 2688612 3360765 4481020 5377224 5601275 6721530 8962040 11202550 13443060 16803825 22405100 26886120 33607650 44810200 67215300 134430600