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34000464040 = 2352114028491
BaseRepresentation
bin11111101010100101…
…011110100010101000
310020202112212112100221
4133222211132202220
51024113104322130
623341455535424
72312364114214
oct375245364250
9106675775327
1034000464040
1113468414964
12670a82a574
13328b119a9a
14190787d944
15d3ee4187a
hex7ea95e8a8

34000464040 has 32 divisors (see below), whose sum is σ = 76863627360. Its totient is φ = 13535726400.

The previous prime is 34000464023. The next prime is 34000464089. The reversal of 34000464040 is 4046400043.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 34000463996 and 34000464014.

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, 2005806 + ... + 2022685.

It is an arithmetic number, because the mean of its divisors is an integer number (2401988355).

Almost surely, 234000464040 is an apocalyptic number.

It is an amenable number.

34000464040 is an abundant number, since it is smaller than the sum of its proper divisors (42863163320).

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

34000464040 is a wasteful number, since it uses less digits than its factorization.

34000464040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4028713 (or 4028709 counting only the distinct ones).

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

Adding to 34000464040 its reverse (4046400043), we get a palindrome (38046864083).

The spelling of 34000464040 in words is "thirty-four billion, four hundred sixty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 211 422 844 1055 1688 2110 4220 8440 4028491 8056982 16113964 20142455 32227928 40284910 80569820 161139640 850011601 1700023202 3400046404 4250058005 6800092808 8500116010 17000232020 34000464040