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134242434 = 23747653
BaseRepresentation
bin10000000000001…
…10000010000010
3100100121020000000
420000012002002
5233331224214
621153140430
73220020234
oct1000060202
9310536000
10134242434
116985a367
1238b5a716
1321a727c1
1413b86254
15bbba809
hex8006082

134242434 has 64 divisors (see below), whose sum is σ = 308897280. Its totient is φ = 43728336.

The previous prime is 134242417. The next prime is 134242453. The reversal of 134242434 is 434242431.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 134242398 and 134242407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 205252 + ... + 205904.

It is an arithmetic number, because the mean of its divisors is an integer number (4826520).

Almost surely, 2134242434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134242434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154448640).

134242434 is an abundant number, since it is smaller than the sum of its proper divisors (174654846).

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

134242434 is an frugal number, since it uses more digits than its factorization.

134242434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 705 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 134242434 is about 11586.3037246570. The cubic root of 134242434 is about 512.0314133762.

Adding to 134242434 its reverse (434242431), we get a palindrome (568484865).

The spelling of 134242434 in words is "one hundred thirty-four million, two hundred forty-two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 47 54 81 94 141 162 243 282 423 486 653 729 846 1269 1306 1458 1959 2187 2538 3807 3918 4374 5877 7614 11421 11754 17631 22842 30691 34263 35262 52893 61382 68526 92073 102789 105786 158679 184146 205578 276219 317358 476037 552438 828657 952074 1428111 1657314 2485971 2856222 4971942 7457913 14915826 22373739 44747478 67121217 134242434