Search a number
-
+
234626356134 = 233191249183091
BaseRepresentation
bin1101101010000011010…
…0100001001110100110
3211102121111212211102000
43122200310201032212
512321003321344014
6255441425030130
722644155056422
oct3324064411646
9742544784360
10234626356134
1190560509055
123957ba85346
1319181ccbac1
14b4dab27b82
1561832ea509
hex36a0d213a6

234626356134 has 64 divisors (see below), whose sum is σ = 549276000000. Its totient is φ = 74032807680.

The previous prime is 234626356099. The next prime is 234626356147. The reversal of 234626356134 is 431653626432.

234626356134 is a `hidden beast` number, since 2 + 3 + 4 + 6 + 2 + 635 + 6 + 1 + 3 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 234626356134.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1189929 + ... + 1373019.

It is an arithmetic number, because the mean of its divisors is an integer number (8582437500).

Almost surely, 2234626356134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234626356134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274638000000).

234626356134 is an abundant number, since it is smaller than the sum of its proper divisors (314649643866).

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

234626356134 is a wasteful number, since it uses less digits than its factorization.

234626356134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184370 (or 184364 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 45.

The spelling of 234626356134 in words is "two hundred thirty-four billion, six hundred twenty-six million, three hundred fifty-six thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 513 1026 1249 2498 3747 7494 11241 22482 23731 33723 47462 67446 71193 142386 183091 213579 366182 427158 549273 640737 1098546 1281474 1647819 3295638 3478729 4943457 6957458 9886914 10436187 20872374 31308561 62617122 93925683 187851366 228680659 457361318 686041977 1372083954 2058125931 4116251862 4344932521 6174377793 8689865042 12348755586 13034797563 26069595126 39104392689 78208785378 117313178067 234626356134