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342434120130 = 2355151933241
BaseRepresentation
bin1001111101110101010…
…10100000000111000010
31012201212211012200100000
410332322222200013002
521102301113321010
6421151223340430
733511556665314
oct4767252400702
91181784180300
10342434120130
11122253151873
12564485b1716
13263a328522b
1412806ad17b4
158d92c0b7c0
hex4fbaaa01c2

342434120130 has 96 divisors (see below), whose sum is σ = 929419440768. Its totient is φ = 90710928000.

The previous prime is 342434120089. The next prime is 342434120143. The reversal of 342434120130 is 31021434243.

342434120130 is a `hidden beast` number, since 3 + 4 + 243 + 412 + 0 + 1 + 3 + 0 = 666.

It is a super-4 number, since 4×3424341201304 (a number of 47 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 342434120094 and 342434120103.

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, 99691 + ... + 833550.

It is an arithmetic number, because the mean of its divisors is an integer number (9681452508).

Almost surely, 2342434120130 is an apocalyptic number.

342434120130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 342434120130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464709720384).

342434120130 is an abundant number, since it is smaller than the sum of its proper divisors (586985320638).

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

342434120130 is a wasteful number, since it uses less digits than its factorization.

342434120130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933414 (or 933402 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 342434120130 its reverse (31021434243), we get a palindrome (373455554373).

The spelling of 342434120130 in words is "three hundred forty-two billion, four hundred thirty-four million, one hundred twenty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 151 162 243 270 302 405 453 486 755 810 906 1215 1359 1510 2265 2430 2718 4077 4530 6795 8154 12231 13590 20385 24462 36693 40770 61155 73386 122310 183465 366930 933241 1866482 2799723 4666205 5599446 8399169 9332410 13998615 16798338 25197507 27997230 41995845 50395014 75592521 83991690 125987535 140919391 151185042 226777563 251975070 281838782 377962605 422758173 453555126 704596955 755925210 845516346 1133887815 1268274519 1409193910 2113790865 2267775630 2536549038 3804823557 4227581730 6341372595 7609647114 11414470671 12682745190 19024117785 22828941342 34243412013 38048235570 57072353355 68486824026 114144706710 171217060065 342434120130