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234315340020 = 223252815578317
BaseRepresentation
bin1101101000111001001…
…0000101100011110100
3211101210211122120111200
43122032102011203310
512314334211340040
6255350514532500
722633360346046
oct3321622054364
9741724576450
10234315340020
11904109a0043
12394b3897130
1319132744ab8
14b4ab6c7a96
156165d62630
hex368e4858f4

234315340020 has 144 divisors (see below), whose sum is σ = 714652415568. Its totient is φ = 62142474240.

The previous prime is 234315340009. The next prime is 234315340057. The reversal of 234315340020 is 20043513432.

234315340020 is a `hidden beast` number, since 2 + 3 + 4 + 315 + 340 + 0 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2496201444 + 231819138576 = 49962^2 + 481476^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28168902 + ... + 28177218.

It is an arithmetic number, because the mean of its divisors is an integer number (4962863997).

Almost surely, 2234315340020 is an apocalyptic number.

234315340020 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 234315340020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357326207784).

234315340020 is an abundant number, since it is smaller than the sum of its proper divisors (480337075548).

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

234315340020 is a wasteful number, since it uses less digits than its factorization.

234315340020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9170 (or 9165 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 234315340020 its reverse (20043513432), we get a palindrome (254358853452).

The spelling of 234315340020 in words is "two hundred thirty-four billion, three hundred fifteen million, three hundred forty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 281 557 562 843 1114 1124 1405 1671 1686 2228 2529 2785 2810 3342 3372 4215 5013 5058 5570 5620 6684 8317 8355 8430 10026 10116 11140 12645 16634 16710 16860 20052 24951 25065 25290 33268 33420 41585 49902 50130 50580 74853 83170 99804 100260 124755 149706 156517 166340 249510 299412 313034 374265 469551 499020 626068 748530 782585 939102 1408653 1497060 1565170 1878204 2337077 2347755 2817306 3130340 4632569 4674154 4695510 5634612 7011231 7043265 9265138 9348308 9391020 11685385 13897707 14022462 14086530 18530276 21033693 23162845 23370770 27795414 28044924 28173060 35056155 41693121 42067386 46325690 46741540 55590828 69488535 70112310 83386242 84134772 92651380 105168465 138977070 140224620 166772484 208465605 210336930 277954140 416931210 420673860 833862420 1301751889 2603503778 3905255667 5207007556 6508759445 7810511334 11715767001 13017518890 15621022668 19526278335 23431534002 26035037780 39052556670 46863068004 58578835005 78105113340 117157670010 234315340020