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342645727000 = 235317151133481
BaseRepresentation
bin1001111110001110100…
…01101101111100011000
31012202102120101102101111
410333013101231330120
521103214301231000
6421224223030104
733520036424053
oct4770721557430
91182376342344
10342645727000
11122351642185
12564a743b334
13264080745b5
1412826c55a9a
158da65a9cba
hex4fc746df18

342645727000 has 128 divisors (see below), whose sum is σ = 854583799680. Its totient is φ = 128140800000.

The previous prime is 342645726991. The next prime is 342645727003. The reversal of 342645727000 is 727546243.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342645727003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2500260 + ... + 2633740.

It is an arithmetic number, because the mean of its divisors is an integer number (6676435935).

Almost surely, 2342645727000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342645727000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427291899840).

342645727000 is an abundant number, since it is smaller than the sum of its proper divisors (511938072680).

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

342645727000 is a wasteful number, since it uses less digits than its factorization.

342645727000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133670 (or 133656 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 40.

The spelling of 342645727000 in words is "three hundred forty-two billion, six hundred forty-five million, seven hundred twenty-seven thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 151 170 200 250 302 340 425 500 604 680 755 850 1000 1208 1510 1700 2125 2567 3020 3400 3775 4250 5134 6040 7550 8500 10268 12835 15100 17000 18875 20536 25670 30200 37750 51340 64175 75500 102680 128350 133481 151000 256700 266962 320875 513400 533924 641750 667405 1067848 1283500 1334810 2269177 2567000 2669620 3337025 4538354 5339240 6674050 9076708 11345885 13348100 16685125 18153416 20155631 22691770 26696200 33370250 40311262 45383540 56729425 66740500 80622524 90767080 100778155 113458850 133481000 161245048 201556310 226917700 283647125 342645727 403112620 453835400 503890775 567294250 685291454 806225240 1007781550 1134588500 1370582908 1713228635 2015563100 2269177000 2519453875 2741165816 3426457270 4031126200 5038907750 6852914540 8566143175 10077815500 13705829080 17132286350 20155631000 34264572700 42830715875 68529145400 85661431750 171322863500 342645727000