Search a number
-
+
234220432340340 = 22335433741541371
BaseRepresentation
bin110101010000010110110001…
…101010110011010101110100
31010201022020212122100122012000
4311100112301222303111310
5221144431421134342330
62150051214200455300
7100222603442006415
oct6520266152632564
91121266778318160
10234220432340340
11686a2366a3a956
12223295a4a7a530
13a08cb79946224
1441ba487c9980c
151c12926e64560
hexd505b1ab3574

234220432340340 has 48 divisors (see below), whose sum is σ = 728685789504960. Its totient is φ = 62458781957280.

The previous prime is 234220432340311. The next prime is 234220432340341. The reversal of 234220432340340 is 43043234022432.

234220432340340 is a `hidden beast` number, since 2 + 3 + 4 + 2 + 204 + 3 + 2 + 3 + 403 + 40 = 666.

234220432340340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 234220432340295 and 234220432340304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234220432340341) 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, 216870770146 + ... + 216870771225.

It is an arithmetic number, because the mean of its divisors is an integer number (15180953948020).

Almost surely, 2234220432340340 is an apocalyptic number.

234220432340340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234220432340340 is an abundant number, since it is smaller than the sum of its proper divisors (494465357164620).

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

234220432340340 is a wasteful number, since it uses less digits than its factorization.

234220432340340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433741541389 (or 433741541381 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

Adding to 234220432340340 its reverse (43043234022432), we get a palindrome (277263666362772).

The spelling of 234220432340340 in words is "two hundred thirty-four trillion, two hundred twenty billion, four hundred thirty-two million, three hundred forty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 433741541371 867483082742 1301224624113 1734966165484 2168707706855 2602449248226 3903673872339 4337415413710 5204898496452 6506123120565 7807347744678 8674830827420 11711021617017 13012246241130 15614695489356 19518369361695 23422043234034 26024492482260 39036738723390 46844086468068 58555108085085 78073477446780 117110216170170 234220432340340