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234340145540 = 225235373131671
BaseRepresentation
bin1101101000111111000…
…0101101100110000100
3211101212120022211021122
43122033300231212010
512314412034124130
6255353202333112
722634111241254
oct3321760554604
9741776284248
10234340145540
11904239a2876
123950005a198
131913791b617
14b4b0b03964
1561681122e5
hex368fc2d984

234340145540 has 96 divisors (see below), whose sum is σ = 530370602496. Its totient is φ = 86763156480.

The previous prime is 234340145537. The next prime is 234340145579. The reversal of 234340145540 is 45541043432.

234340145540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2343401455403 (a number of 35 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 234340145540.

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, 1713905 + ... + 1845575.

It is an arithmetic number, because the mean of its divisors is an integer number (5524693776).

Almost surely, 2234340145540 is an apocalyptic number.

234340145540 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 234340145540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265185301248).

234340145540 is an abundant number, since it is smaller than the sum of its proper divisors (296030456956).

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

234340145540 is a wasteful number, since it uses less digits than its factorization.

234340145540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131829 (or 131827 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

Adding to 234340145540 its reverse (45541043432), we get a palindrome (279881188972).

The spelling of 234340145540 in words is "two hundred thirty-four billion, three hundred forty million, one hundred forty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 23 46 53 73 92 106 115 146 212 230 265 292 365 460 530 730 1060 1219 1460 1679 2438 3358 3869 4876 6095 6716 7738 8395 12190 15476 16790 19345 24380 33580 38690 77380 88987 131671 177974 263342 355948 444935 526684 658355 889870 1316710 1779740 2633420 3028433 6056866 6978563 9611983 12113732 13957126 15142165 19223966 27914252 30284330 34892815 38447932 48059915 60568660 69785630 96119830 139571260 160506949 192239660 221075609 321013898 442151218 509435099 642027796 802534745 884302436 1018870198 1105378045 1605069490 2037740396 2210756090 2547175495 3210138980 4421512180 5094350990 10188701980 11717007277 23434014554 46868029108 58585036385 117170072770 234340145540