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3312334134 = 23430766601
BaseRepresentation
bin1100010101101110…
…0011010100110110
322112211202000020000
43011123203110312
523240424143014
61304402452130
7145040242554
oct30533432466
98484660200
103312334134
11144a7a972a
12785364046
1340a310435
14235caabd4
15145bdc509
hexc56e3536

3312334134 has 40 divisors (see below), whose sum is σ = 7446370008. Its totient is φ = 1100498400.

The previous prime is 3312334133. The next prime is 3312334147. The reversal of 3312334134 is 4314332133.

3312334134 is a `hidden beast` number, since 3 + 312 + 3 + 341 + 3 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3312334098 and 3312334107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3312334133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16434 + ... + 83034.

Almost surely, 23312334134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3312334134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3723185004).

3312334134 is an abundant number, since it is smaller than the sum of its proper divisors (4134035874).

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

3312334134 is a wasteful number, since it uses less digits than its factorization.

3312334134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66922 (or 66913 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

The square root of 3312334134 is about 57552.8811963398. The cubic root of 3312334134 is about 1490.6581081527.

Adding to 3312334134 its reverse (4314332133), we get a palindrome (7626666267).

The spelling of 3312334134 in words is "three billion, three hundred twelve million, three hundred thirty-four thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 307 614 921 1842 2763 5526 8289 16578 24867 49734 66601 133202 199803 399606 599409 1198818 1798227 3596454 5394681 10789362 20446507 40893014 61339521 122679042 184018563 368037126 552055689 1104111378 1656167067 3312334134