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34001110040 = 2353722973723
BaseRepresentation
bin11111101010100111…
…111100010000011000
310020202121002100111212
4133222213330100120
51024113241010130
623341521442252
72312402444462
oct375247742030
9106677070455
1034001110040
1113468816247
12670aaa0388
13328b2b4b31
1419079ab132
15d4001ce95
hex7ea9fc418

34001110040 has 32 divisors (see below), whose sum is σ = 78570136080. Its totient is φ = 13232863872.

The previous prime is 34001110037. The next prime is 34001110051. The reversal of 34001110040 is 4001110043.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 34001109997 and 34001110024.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 11485382 + ... + 11488341.

Almost surely, 234001110040 is an apocalyptic number.

It is an amenable number.

34001110040 is an abundant number, since it is smaller than the sum of its proper divisors (44569026040).

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

34001110040 is a wasteful number, since it uses less digits than its factorization.

34001110040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22973771 (or 22973767 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 34001110040 its reverse (4001110043), we get a palindrome (38002220083).

The spelling of 34001110040 in words is "thirty-four billion, one million, one hundred ten thousand, forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1480 22973723 45947446 91894892 114868615 183789784 229737230 459474460 850027751 918948920 1700055502 3400111004 4250138755 6800222008 8500277510 17000555020 34001110040