Search a number
-
+
134305512 = 233114311831
BaseRepresentation
bin10000000000101…
…01011011101000
3100100201102112020
420000111123220
5233340234022
621154344440
73220402155
oct1000253350
9310642466
10134305512
11698a27a0
1238b8b120
1321a95423
1413ba122c
15bbce35c
hex80156e8

134305512 has 64 divisors (see below), whose sum is σ = 374837760. Its totient is φ = 39748800.

The previous prime is 134305499. The next prime is 134305519. The reversal of 134305512 is 215503431.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (134305519) 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, 5437 + ... + 17267.

It is an arithmetic number, because the mean of its divisors is an integer number (5856840).

Almost surely, 2134305512 is an apocalyptic number.

134305512 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 134305512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187418880).

134305512 is an abundant number, since it is smaller than the sum of its proper divisors (240532248).

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

134305512 is a wasteful number, since it uses less digits than its factorization.

134305512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11894 (or 11890 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 134305512 is about 11589.0254982893. The cubic root of 134305512 is about 512.1115988017. Note that the first 3 decimals are identical.

Adding to 134305512 its reverse (215503431), we get a palindrome (349808943).

The spelling of 134305512 in words is "one hundred thirty-four million, three hundred five thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 43 44 66 86 88 129 132 172 258 264 344 473 516 946 1032 1419 1892 2838 3784 5676 11352 11831 23662 35493 47324 70986 94648 130141 141972 260282 283944 390423 508733 520564 780846 1017466 1041128 1526199 1561692 2034932 3052398 3123384 4069864 5596063 6104796 11192126 12209592 16788189 22384252 33576378 44768504 67152756 134305512