Search a number
-
+
231000434334 = 23431371243181
BaseRepresentation
bin1101011100100010110…
…0101110011010011110
3211002020211001220210000
43113020230232122132
512241042102344314
6254041540555130
722455256203015
oct3271054563236
9732224056700
10231000434334
1189a6a7a536a
12389296b2aa6
1318a24a44047
14b27534ba7c
15601ed18209
hex35c8b2e69e

231000434334 has 80 divisors (see below), whose sum is σ = 548750480256. Its totient is φ = 72502257600.

The previous prime is 231000434311. The next prime is 231000434347. The reversal of 231000434334 is 433434000132.

231000434334 is a `hidden beast` number, since 2 + 310 + 0 + 0 + 4 + 343 + 3 + 4 = 666.

It is a super-2 number, since 2×2310004343342 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 231000434298 and 231000434307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 435777 + ... + 807404.

Almost surely, 2231000434334 is an apocalyptic number.

231000434334 is an abundant number, since it is smaller than the sum of its proper divisors (317750045922).

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

231000434334 is a wasteful number, since it uses less digits than its factorization.

231000434334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243263 (or 1243254 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 231000434334 its reverse (433434000132), we get a palindrome (664434434466).

The spelling of 231000434334 in words is "two hundred thirty-one billion, four hundred thirty-four thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 31 37 54 62 74 81 93 111 162 186 222 279 333 558 666 837 999 1147 1674 1998 2294 2511 2997 3441 5022 5994 6882 10323 20646 30969 61938 92907 185814 1243181 2486362 3729543 7459086 11188629 22377258 33565887 38538611 45997697 67131774 77077222 91995394 100697661 115615833 137993091 201395322 231231666 275986182 346847499 413979273 693694998 827958546 1040542497 1241937819 1425928607 2081084994 2483875638 2851857214 3121627491 3725813457 4277785821 6243254982 7451626914 8555571642 12833357463 25666714926 38500072389 77000144778 115500217167 231000434334