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34314022420 = 225192233071319
BaseRepresentation
bin11111111101010001…
…100110111000010100
310021120101212221121021
4133331101212320110
51030233342204140
623432540330524
72323222243456
oct377521467024
9107511787537
1034314022420
1113609409a17
126797843a44
13330b083ca2
1419373822d6
15d5c72cb4a
hex7fd466e14

34314022420 has 96 divisors (see below), whose sum is σ = 76498329600. Its totient is φ = 12892950144.

The previous prime is 34314022411. The next prime is 34314022423. The reversal of 34314022420 is 2422041343.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34314022423) 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, 26014521 + ... + 26015839.

It is an arithmetic number, because the mean of its divisors is an integer number (796857600).

Almost surely, 234314022420 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 34314022420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38249164800).

34314022420 is an abundant number, since it is smaller than the sum of its proper divisors (42184307180).

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

34314022420 is a wasteful number, since it uses less digits than its factorization.

34314022420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1877 (or 1875 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 34314022420 its reverse (2422041343), we get a palindrome (36736063763).

The spelling of 34314022420 in words is "thirty-four billion, three hundred fourteen million, twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 223 307 380 446 614 892 1115 1228 1319 1535 2230 2638 3070 4237 4460 5276 5833 6140 6595 8474 11666 13190 16948 21185 23332 25061 26380 29165 42370 50122 58330 68461 84740 100244 116660 125305 136922 250610 273844 294137 342305 404933 501220 588274 684610 809866 1176548 1300759 1369220 1470685 1619732 2024665 2601518 2941370 4049330 5203036 5588603 5882740 6503795 7693727 8098660 11177206 13007590 15387454 22354412 26015180 27943015 30774908 38468635 55886030 76937270 90300059 111772060 153874540 180600118 361200236 451500295 903000590 1715701121 1806001180 3431402242 6862804484 8578505605 17157011210 34314022420