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34003630043 = 292879407273
BaseRepresentation
bin11111101010110001…
…100011011111011011
310020202202211101022022
4133222301203133123
51024114412130133
623342051445055
72312433041435
oct375261433733
9106682741268
1034003630043
111346a187599
12670b8b678b
13328b987b66
141908065655
15d40369998
hex7eac637db

34003630043 has 8 divisors (see below), whose sum is σ = 35188473600. Its totient is φ = 32819606848.

The previous prime is 34003630019. The next prime is 34003630069.

34003630043 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34003630043 - 230 = 32929888219 is a prime.

It is a super-2 number, since 2×340036300432 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34003629994 and 34003630021.

It is not an unprimeable number, because it can be changed into a prime (34003630013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120146 + ... + 287127.

It is an arithmetic number, because the mean of its divisors is an integer number (4398559200).

Almost surely, 234003630043 is an apocalyptic number.

34003630043 is a deficient number, since it is larger than the sum of its proper divisors (1184843557).

34003630043 is a wasteful number, since it uses less digits than its factorization.

34003630043 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410181.

The product of its (nonzero) digits is 7776, while the sum is 26.

The spelling of 34003630043 in words is "thirty-four billion, three million, six hundred thirty thousand, forty-three".

Divisors: 1 29 2879 83491 407273 11810917 1172538967 34003630043