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2334334768 = 242319133211
BaseRepresentation
bin1000101100100011…
…0001111100110000
320000200110111022021
42023020301330300
514240042203033
61023344521224
7111563342503
oct21310617460
96020414267
102334334768
11a98742297
12551920214
132b280719c
1418204913a
15d9e04b2d
hex8b231f30

2334334768 has 40 divisors (see below), whose sum is σ = 4744267776. Its totient is φ = 1110542400.

The previous prime is 2334334757. The next prime is 2334334771. The reversal of 2334334768 is 8674334332.

It is a super-2 number, since 2×23343347682 = 10898237618187227648, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53683 + ... + 86893.

Almost surely, 22334334768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2334334768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2372133888).

2334334768 is an abundant number, since it is smaller than the sum of its proper divisors (2409933008).

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

2334334768 is a wasteful number, since it uses less digits than its factorization.

2334334768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33433 (or 33427 counting only the distinct ones).

The product of its digits is 870912, while the sum is 43.

The square root of 2334334768 is about 48314.9538755860. The cubic root of 2334334768 is about 1326.5421262462.

The spelling of 2334334768 in words is "two billion, three hundred thirty-four million, three hundred thirty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 23 46 92 184 191 368 382 764 1528 3056 4393 8786 17572 33211 35144 66422 70288 132844 265688 531376 763853 1527706 3055412 6110824 6343301 12221648 12686602 25373204 50746408 101492816 145895923 291791846 583583692 1167167384 2334334768