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34003625682 = 23131999218081
BaseRepresentation
bin11111101010110001…
…100010011011010010
310020202202211011022210
4133222301202123102
51024114412010212
623342051412550
72312433022635
oct375261423322
9106682734283
1034003625682
111346a184294
12670b8b4156
13328b985b90
141908063c1c
15d4036853c
hex7eac626d2

34003625682 has 32 divisors (see below), whose sum is σ = 73275552000. Its totient is φ = 10457372160.

The previous prime is 34003625657. The next prime is 34003625717. The reversal of 34003625682 is 28652630043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 34003625682.

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 15 ways as a sum of consecutive naturals, for example, 46882 + ... + 264962.

It is an arithmetic number, because the mean of its divisors is an integer number (2289861000).

Almost surely, 234003625682 is an apocalyptic number.

34003625682 is an abundant number, since it is smaller than the sum of its proper divisors (39271926318).

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

34003625682 is a wasteful number, since it uses less digits than its factorization.

34003625682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220098.

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 34003625682 in words is "thirty-four billion, three million, six hundred twenty-five thousand, six hundred eighty-two".

Divisors: 1 2 3 6 13 26 39 78 1999 3998 5997 11994 25987 51974 77961 155922 218081 436162 654243 1308486 2835053 5670106 8505159 17010318 435943919 871887838 1307831757 2615663514 5667270947 11334541894 17001812841 34003625682