Search a number
-
+
234800135388 = 223271371672813
BaseRepresentation
bin1101101010101100101…
…1011011110011011100
3211110001121212201201200
43122223023123303130
512321332313313023
6255510553435500
722651365135450
oct3325313336334
9743047781650
10234800135388
119063a611a75
123960a10bb90
13191ac005370
14b515c42660
1561936c5743
hex36ab2dbcdc

234800135388 has 72 divisors (see below), whose sum is σ = 730489320288. Its totient is φ = 61925309568.

The previous prime is 234800135387. The next prime is 234800135429. The reversal of 234800135388 is 883531008432.

234800135388 is a `hidden beast` number, since 2 + 3 + 480 + 0 + 135 + 38 + 8 = 666.

It is a super-2 number, since 2×2348001353882 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234800135387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35833131 + ... + 35839682.

It is an arithmetic number, because the mean of its divisors is an integer number (10145685004).

Almost surely, 2234800135388 is an apocalyptic number.

234800135388 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

234800135388 is an abundant number, since it is smaller than the sum of its proper divisors (495689184900).

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

234800135388 is a wasteful number, since it uses less digits than its factorization.

234800135388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71672843 (or 71672838 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 234800135388 in words is "two hundred thirty-four billion, eight hundred million, one hundred thirty-five thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 1092 1638 3276 71672813 143345626 215018439 286691252 430036878 501709691 645055317 860073756 931746569 1003419382 1290110634 1505129073 1863493138 2006838764 2580221268 2795239707 3010258146 3726986276 4515387219 5590479414 6020516292 6522225983 8385719121 9030774438 11180958828 13044451966 16771438242 18061548876 19566677949 26088903932 33542876484 39133355898 58700033847 78266711796 117400067694 234800135388