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3054662361 = 36232892
BaseRepresentation
bin1011011000010010…
…0111001011011001
321212212212221000000
42312010213023121
522223443143421
61223040003213
7135461126112
oct26604471331
97785787000
103054662361
111328306053
12713000509
13398b12b2a
1420d995209
1512d290226
hexb61272d9

3054662361 has 63 divisors (see below), whose sum is σ = 4842080719. Its totient is φ = 1926014112.

The previous prime is 3054662341. The next prime is 3054662381. The reversal of 3054662361 is 1632664503.

The square root of 3054662361 is 55269.

It is a perfect power (a square), and thus also a powerful number.

3054662361 is a `hidden beast` number, since 30 + 546 + 6 + 23 + 61 = 666.

3054662361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3054662341) and next prime (3054662381).

It can be written as a sum of positive squares in only one way, i.e., 586559961 + 2468102400 = 24219^2 + 49680^2 .

It is not a de Polignac number, because 3054662361 - 217 = 3054531289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3054662321) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 34322005 + ... + 34322093.

Almost surely, 23054662361 is an apocalyptic number.

3054662361 is the 55269-th square number.

3054662361 is the 27635-th centered octagonal number.

It is an amenable number.

3054662361 is a deficient number, since it is larger than the sum of its proper divisors (1787418358).

3054662361 is an frugal number, since it uses more digits than its factorization.

3054662361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The cubic root of 3054662361 is about 1450.9565406271.

Multiplying 3054662361 by its sum of digits (36), we get a square (109967844996 = 3316142).

The spelling of 3054662361 in words is "three billion, fifty-four million, six hundred sixty-two thousand, three hundred sixty-one".

Divisors: 1 3 9 23 27 69 81 89 207 243 267 529 621 729 801 1587 1863 2047 2403 4761 5589 6141 7209 7921 14283 16767 18423 21627 23763 42849 47081 55269 64881 71289 128547 141243 165807 182183 213867 385641 423729 497421 546549 641601 1271187 1492263 1639647 1924803 3813561 4190209 4918941 5774409 11440683 12570627 14756823 34322049 37711881 44270469 113135643 132811407 339406929 1018220787 3054662361