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3044105204 = 227217261881
BaseRepresentation
bin1011010101110001…
…0101101111110100
321212011000120022012
42311130111233310
522213242331304
61222021423352
7135302316200
oct26534255764
97764016265
103044105204
111322355328
1270b56ab58
133968877aa
1420c407b00
1512c3a716e
hexb5715bf4

3044105204 has 108 divisors (see below), whose sum is σ = 6698407212. Its totient is φ = 1206374400.

The previous prime is 3044105203. The next prime is 3044105213. The reversal of 3044105204 is 4025014403.

It can be written as a sum of positive squares in 6 ways, for example, as 101042704 + 2943062500 = 10052^2 + 54250^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3044105204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3044105203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3454844 + ... + 3455724.

It is an arithmetic number, because the mean of its divisors is an integer number (62022289).

Almost surely, 23044105204 is an apocalyptic number.

3044105204 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3044105204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3349203606).

3044105204 is an abundant number, since it is smaller than the sum of its proper divisors (3654302008).

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

3044105204 is a wasteful number, since it uses less digits than its factorization.

3044105204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 3044105204 is about 55173.4102988024. The cubic root of 3044105204 is about 1449.2830707130.

Adding to 3044105204 its reverse (4025014403), we get a palindrome (7069119607).

The spelling of 3044105204 in words is "three billion, forty-four million, one hundred five thousand, two hundred four".

Divisors: 1 2 4 7 14 17 28 34 49 61 68 98 119 122 196 238 244 289 427 476 578 833 854 881 1037 1156 1666 1708 1762 2023 2074 2989 3332 3524 4046 4148 5978 6167 7259 8092 11956 12334 14161 14518 14977 17629 24668 28322 29036 29954 35258 43169 50813 53741 56644 59908 70516 86338 101626 104839 107482 123403 172676 203252 209678 214964 246806 254609 376187 419356 493612 509218 733873 752374 863821 913597 1018436 1467746 1504748 1727642 1782263 1827194 2633309 2935492 3455284 3564526 3654388 5266618 6395179 7129052 10533236 12475841 12790358 15531149 24951682 25580716 31062298 44766253 49903364 62124596 89532506 108718043 179065012 217436086 434872172 761026301 1522052602 3044105204