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134434512 = 2433437237
BaseRepresentation
bin10000000001101…
…00111011010000
3100100221222111000
420000310323100
5233403401022
621201222000
73221450232
oct1000647320
9310858430
10134434512
1169980703
1239031900
1321b0c064
1413bd6252
15bc076ac
hex8034ed0

134434512 has 80 divisors (see below), whose sum is σ = 394905280. Its totient is φ = 43763328.

The previous prime is 134434501. The next prime is 134434513. The reversal of 134434512 is 215434431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134434513) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14958 + ... + 22194.

It is an arithmetic number, because the mean of its divisors is an integer number (4936316).

Almost surely, 2134434512 is an apocalyptic number.

134434512 is a gapful number since it is divisible by the number (12) 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 134434512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197452640).

134434512 is an abundant number, since it is smaller than the sum of its proper divisors (260470768).

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

134434512 is a wasteful number, since it uses less digits than its factorization.

134434512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7297 (or 7285 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 134434512 is about 11594.5897728208. The cubic root of 134434512 is about 512.2755068341.

Adding to 134434512 its reverse (215434431), we get a palindrome (349868943).

It can be divided in two parts, 13443 and 4512, that added together give a triangular number (17955 = T189).

The spelling of 134434512 in words is "one hundred thirty-four million, four hundred thirty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 43 48 54 72 86 108 129 144 172 216 258 344 387 432 516 688 774 1032 1161 1548 2064 2322 3096 4644 6192 7237 9288 14474 18576 21711 28948 43422 57896 65133 86844 115792 130266 173688 195399 260532 311191 347376 390798 521064 622382 781596 933573 1042128 1244764 1563192 1867146 2489528 2800719 3126384 3734292 4979056 5601438 7468584 8402157 11202876 14937168 16804314 22405752 33608628 44811504 67217256 134434512