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234234210540 = 223511770346073
BaseRepresentation
bin1101101000100101110…
…0100110100011101100
3211101121011222202210010
43122021130212203230
512314202424214130
6255334500013220
722631353640001
oct3321134464354
9741534882703
10234234210540
119037a118290
1239490691210
131911b9aa5a5
14b4a0a098a8
15615db890b0
hex36897268ec

234234210540 has 96 divisors (see below), whose sum is σ = 715587457536. Its totient is φ = 56775447040.

The previous prime is 234234210533. The next prime is 234234210557. The reversal of 234234210540 is 45012432432.

234234210540 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 234234210498 and 234234210507.

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 31 ways as a sum of consecutive naturals, for example, 5060944 + ... + 5107016.

It is an arithmetic number, because the mean of its divisors is an integer number (7454036016).

Almost surely, 2234234210540 is an apocalyptic number.

234234210540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234234210540 is an abundant number, since it is smaller than the sum of its proper divisors (481353246996).

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

234234210540 is a wasteful number, since it uses less digits than its factorization.

234234210540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53799 (or 53797 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 234234210540 its reverse (45012432432), we get a palindrome (279246642972).

The spelling of 234234210540 in words is "two hundred thirty-four billion, two hundred thirty-four million, two hundred ten thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 7703 15406 23109 30812 38515 46073 46218 77030 84733 92146 92436 115545 138219 154060 169466 184292 230365 231090 254199 276438 338932 423665 460730 462180 506803 508398 552876 691095 847330 921460 1013606 1016796 1270995 1382190 1520409 1694660 2027212 2534015 2541990 2764380 3040818 5068030 5083980 6081636 7602045 10136060 15204090 30408180 354900319 709800638 1064700957 1419601276 1774501595 2129401914 3549003190 3903903509 4258803828 5323504785 7098006380 7807807018 10647009570 11711710527 15615614036 19519517545 21294019140 23423421054 39039035090 46846842108 58558552635 78078070180 117117105270 234234210540