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34023422430 = 23251722237531
BaseRepresentation
bin11111101011111101…
…000011100111011110
310020211011001221100200
4133223331003213132
51024134444004210
623344040004330
72313063214254
oct375375034736
9106734057320
1034023422430
111347a375938
1267164606a6
133292ac792a
14190a9385d4
15d41e790c0
hex7ebf439de

34023422430 has 48 divisors (see below), whose sum is σ = 93664484784. Its totient is φ = 8539211520.

The previous prime is 34023422401. The next prime is 34023422453. The reversal of 34023422430 is 3422432043.

34023422430 is a `hidden beast` number, since 3 + 402 + 3 + 4 + 224 + 30 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 34023422394 and 34023422403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11117236 + ... + 11120295.

It is an arithmetic number, because the mean of its divisors is an integer number (1951343433).

Almost surely, 234023422430 is an apocalyptic number.

34023422430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34023422430 is an abundant number, since it is smaller than the sum of its proper divisors (59641062354).

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

34023422430 is a wasteful number, since it uses less digits than its factorization.

34023422430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22237561 (or 22237558 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 34023422430 its reverse (3422432043), we get a palindrome (37445854473).

The spelling of 34023422430 in words is "thirty-four billion, twenty-three million, four hundred twenty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 22237531 44475062 66712593 111187655 133425186 200137779 222375310 333562965 378038027 400275558 667125930 756076054 1000688895 1134114081 1890190135 2001377790 2268228162 3402342243 3780380270 5670570405 6804684486 11341140810 17011711215 34023422430