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3109680468 = 2232257336109
BaseRepresentation
bin1011100101011001…
…1111010101010100
322000201102010122200
42321112133111110
522332034233333
61232323124500
7140026563546
oct27126372524
98021363580
103109680468
111356373a64
12729513730
133a733731b
14216dd7696
1513300bc13
hexb959f554

3109680468 has 36 divisors (see below), whose sum is σ = 7891190580. Its totient is φ = 1032523776.

The previous prime is 3109680451. The next prime is 3109680481. The reversal of 3109680468 is 8640869013.

3109680468 is a `hidden beast` number, since 3 + 109 + 6 + 80 + 468 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3049027524 + 60652944 = 55218^2 + 7788^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×31096804682 = 19340225226121398048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 158803 + ... + 177306.

Almost surely, 23109680468 is an apocalyptic number.

It is an amenable number.

3109680468 is an abundant number, since it is smaller than the sum of its proper divisors (4781510112).

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

3109680468 is a wasteful number, since it uses less digits than its factorization.

3109680468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336376 (or 336371 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 3109680468 is about 55764.5090357658. The cubic root of 3109680468 is about 1459.6159100984.

The spelling of 3109680468 in words is "three billion, one hundred nine million, six hundred eighty thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 257 514 771 1028 1542 2313 3084 4626 9252 336109 672218 1008327 1344436 2016654 3024981 4033308 6049962 12099924 86380013 172760026 259140039 345520052 518280078 777420117 1036560156 1554840234 3109680468