Search a number
-
+
234734057140 = 2251119109677761
BaseRepresentation
bin1101101010011100111…
…1010111011010110100
3211102220000112121102011
43122213033113122310
512321213404312030
6255500233254004
722646633364502
oct3324717273264
9742800477364
10234734057140
119060628a450
12395abb64304
131919b40a8cb
14b50b161672
15618c9c1b2a
hex36a73d76b4

234734057140 has 192 divisors, whose sum is σ = 572845996800. Its totient is φ = 79899955200.

The previous prime is 234734057081. The next prime is 234734057149. The reversal of 234734057140 is 41750437432.

It is a junction number, because it is equal to n+sod(n) for n = 234734057093 and 234734057102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234734057149) 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 63 ways as a sum of consecutive naturals, for example, 308454360 + ... + 308455120.

It is an arithmetic number, because the mean of its divisors is an integer number (2983572900).

Almost surely, 2234734057140 is an apocalyptic number.

234734057140 is a gapful number since it is divisible by the number (20) 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 234734057140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286422998400).

234734057140 is an abundant number, since it is smaller than the sum of its proper divisors (338111939660).

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

234734057140 is a wasteful number, since it uses less digits than its factorization.

234734057140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 40.

The spelling of 234734057140 in words is "two hundred thirty-four billion, seven hundred thirty-four million, fifty-seven thousand, one hundred forty".