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234232435404 = 22321119182317077
BaseRepresentation
bin1101101000100101010…
…1110101001011001100
3211101121001122120202100
43122021111311023030
512314202000413104
6255334353555100
722631332564452
oct3321125651314
9741531576670
10234232435404
1190379115630
123948bb75a90
131911b508606
14b4a06a69d2
15615d938139
hex36895752cc

234232435404 has 144 divisors (see below), whose sum is σ = 680321940480. Its totient is φ = 67202939520.

The previous prime is 234232435373. The next prime is 234232435447. The reversal of 234232435404 is 404534232432.

234232435404 is a `hidden beast` number, since 2 + 3 + 4 + 2 + 3 + 243 + 5 + 404 = 666.

234232435404 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13707714 + ... + 13724790.

It is an arithmetic number, because the mean of its divisors is an integer number (4724457920).

Almost surely, 2234232435404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234232435404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340160970240).

234232435404 is an abundant number, since it is smaller than the sum of its proper divisors (446089505076).

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

234232435404 is a wasteful number, since it uses less digits than its factorization.

234232435404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18940 (or 18935 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 36.

Adding to 234232435404 its reverse (404534232432), we get a palindrome (638766667836).

The spelling of 234232435404 in words is "two hundred thirty-four billion, two hundred thirty-two million, four hundred thirty-five thousand, four hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 132 171 198 209 228 342 396 418 627 684 836 1254 1823 1881 2508 3646 3762 5469 7292 7524 10938 16407 17077 20053 21876 32814 34154 34637 40106 51231 60159 65628 68308 69274 80212 102462 103911 120318 138548 153693 180477 187847 204924 207822 240636 307386 311733 324463 360954 375694 381007 415644 563541 614772 623466 648926 721908 751388 762014 973389 1127082 1143021 1246932 1297852 1524028 1690623 1946778 2254164 2286042 2920167 3381246 3429063 3569093 3893556 4572084 5840334 6762492 6858126 7138186 10707279 11680668 13716252 14276372 21414558 31131371 32121837 42829116 62262742 64243674 93394113 124525484 128487348 186788226 280182339 342445081 373576452 560364678 591496049 684890162 1027335243 1120729356 1182992098 1369780324 1774488147 2054670486 2365984196 3082005729 3548976294 4109340972 5323464441 6164011458 6506456539 7097952588 10646928882 12328022916 13012913078 19519369617 21293857764 26025826156 39038739234 58558108851 78077478468 117116217702 234232435404