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34333104104 = 2313683483347
BaseRepresentation
bin11111111110011010…
…011001011111101000
310021121201210101202022
4133332122121133220
51030303233312404
623434501324012
72323543366265
oct377632313750
9107551711668
1034333104104
1113619162302
1267a2106608
133312005420
141939b0c26c
15d5e24b8be
hex7fe6997e8

34333104104 has 32 divisors (see below), whose sum is σ = 69428106720. Its totient is φ = 15822814656.

The previous prime is 34333104079. The next prime is 34333104107. The reversal of 34333104104 is 40140133343.

It is a happy number.

It is a super-3 number, since 3×343331041043 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (34333104107) 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, 170642 + ... + 312705.

It is an arithmetic number, because the mean of its divisors is an integer number (2169628335).

Almost surely, 234333104104 is an apocalyptic number.

It is an amenable number.

34333104104 is an abundant number, since it is smaller than the sum of its proper divisors (35095002616).

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

34333104104 is a wasteful number, since it uses less digits than its factorization.

34333104104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484049 (or 484045 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 34333104104 its reverse (40140133343), we get a palindrome (74473237447).

The spelling of 34333104104 in words is "thirty-four billion, three hundred thirty-three million, one hundred four thousand, one hundred four".

Divisors: 1 2 4 8 13 26 52 104 683 1366 2732 5464 8879 17758 35516 71032 483347 966694 1933388 3866776 6283511 12567022 25134044 50268088 330126001 660252002 1320504004 2641008008 4291638013 8583276026 17166552052 34333104104