[go: up one dir, main page]

Search a number
-
+
2306084688 = 243341130199
BaseRepresentation
bin1000100101110100…
…0000111101010000
312221201022020111000
42021131000331100
514210324202223
61020455222000
7111101252655
oct21135007520
95851266430
102306084688
11a837a7616
12544377900
132a99c586b
1417c3b3c2c
15d76c4543
hex89740f50

2306084688 has 80 divisors (see below), whose sum is σ = 6780816000. Its totient is φ = 749940480.

The previous prime is 2306084639. The next prime is 2306084689. The reversal of 2306084688 is 8864806032.

It is a happy number.

2306084688 is a `hidden beast` number, since 2 + 30 + 608 + 4 + 6 + 8 + 8 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2306084689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47388 + ... + 82811.

It is an arithmetic number, because the mean of its divisors is an integer number (84760200).

Almost surely, 22306084688 is an apocalyptic number.

It is an amenable number.

2306084688 is an abundant number, since it is smaller than the sum of its proper divisors (4474731312).

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

2306084688 is a wasteful number, since it uses less digits than its factorization.

2306084688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130257 (or 130245 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 2306084688 is about 48021.7105901071. The cubic root of 2306084688 is about 1321.1691294807.

The spelling of 2306084688 in words is "two billion, three hundred six million, eighty-four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 54 72 82 108 123 144 164 216 246 328 369 432 492 656 738 984 1107 1476 1968 2214 2952 4428 5904 8856 17712 130199 260398 390597 520796 781194 1041592 1171791 1562388 2083184 2343582 3124776 3515373 4687164 5338159 6249552 7030746 9374328 10676318 14061492 16014477 18748656 21352636 28122984 32028954 42705272 48043431 56245968 64057908 85410544 96086862 128115816 144130293 192173724 256231632 288260586 384347448 576521172 768694896 1153042344 2306084688