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234233423240 = 235231933074297
BaseRepresentation
bin1101101000100101100…
…1100110010110001000
3211101121010111202210212
43122021121212112020
512314202224020430
6255334431100252
722631344150445
oct3321131462610
9741533452725
10234233423240
119037972a823
1239490371688
131911b79312b
14b4a08829cc
15615da80b95
hex3689666588

234233423240 has 128 divisors (see below), whose sum is σ = 554718447360. Its totient is φ = 88844304384.

The previous prime is 234233423227. The next prime is 234233423287. The reversal of 234233423240 is 42324332432.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 234233423197 and 234233423206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54508772 + ... + 54513068.

It is an arithmetic number, because the mean of its divisors is an integer number (4333737870).

Almost surely, 2234233423240 is an apocalyptic number.

234233423240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234233423240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277359223680).

234233423240 is an abundant number, since it is smaller than the sum of its proper divisors (320485024120).

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

234233423240 is a wasteful number, since it uses less digits than its factorization.

234233423240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4831 (or 4827 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 32.

Adding to 234233423240 its reverse (42324332432), we get a palindrome (276557755672).

The spelling of 234233423240 in words is "two hundred thirty-four billion, two hundred thirty-three million, four hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 193 230 307 386 460 614 772 920 965 1228 1535 1544 1930 2456 3070 3860 4297 4439 6140 7061 7720 8594 8878 12280 14122 17188 17756 21485 22195 28244 34376 35305 35512 42970 44390 56488 59251 70610 85940 88780 98831 118502 141220 171880 177560 197662 237004 282440 296255 395324 474008 494155 592510 790648 829321 988310 1185020 1319179 1362773 1658642 1976620 2370040 2638358 2725546 3317284 3953240 4146605 5276716 5451092 6595895 6634568 6813865 8293210 10553432 10902184 13191790 13627730 16586420 19074383 26383580 27255460 30341117 33172840 38148766 52767160 54510920 60682234 76297532 95371915 121364468 151705585 152595064 190743830 242728936 254601547 303411170 381487660 509203094 606822340 762975320 1018406188 1213644680 1273007735 2036812376 2546015470 5092030940 5855835581 10184061880 11711671162 23423342324 29279177905 46846684648 58558355810 117116711620 234233423240