Search a number
-
+
234438369768 = 23331576913139
BaseRepresentation
bin1101101001010110011…
…1011010000111101000
3211102010102011010121000
43122111213122013220
512320112210313033
6255411031515000
722636413156261
oct3322547320750
9742112133530
10234438369768
1190474391119
1239528b28a60
131915208ca75
14b4bdb91968
156171a65a13
hex36959da1e8

234438369768 has 64 divisors (see below), whose sum is σ = 655365672000. Its totient is φ = 77648366016.

The previous prime is 234438369733. The next prime is 234438369799. The reversal of 234438369768 is 867963834432.

234438369768 is a `hidden beast` number, since 23 + 4 + 438 + 36 + 97 + 68 = 666.

It is a super-3 number, since 3×2344383697683 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3422658 + ... + 3490481.

It is an arithmetic number, because the mean of its divisors is an integer number (10240088625).

Almost surely, 2234438369768 is an apocalyptic number.

It is an amenable number.

234438369768 is an abundant number, since it is smaller than the sum of its proper divisors (420927302232).

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

234438369768 is a wasteful number, since it uses less digits than its factorization.

234438369768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6913311 (or 6913301 counting only the distinct ones).

The product of its digits is 125411328, while the sum is 63.

The spelling of 234438369768 in words is "two hundred thirty-four billion, four hundred thirty-eight million, three hundred sixty-nine thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 157 216 314 471 628 942 1256 1413 1884 2826 3768 4239 5652 8478 11304 16956 33912 6913139 13826278 20739417 27652556 41478834 55305112 62218251 82957668 124436502 165915336 186654753 248873004 373309506 497746008 746619012 1085362823 1493238024 2170725646 3256088469 4341451292 6512176938 8682902584 9768265407 13024353876 19536530814 26048707752 29304796221 39073061628 58609592442 78146123256 117219184884 234438369768