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134449056 = 25327173923
BaseRepresentation
bin10000000001110…
…00011110100000
3100100222201102200
420000320132200
5233404332211
621201413200
73221540520
oct1000703640
9310881380
10134449056
1169990625
123903a200
1321b15871
1413bdb680
15bc0bb56
hex80387a0

134449056 has 144 divisors (see below), whose sum is σ = 462780864. Its totient is φ = 36145152.

The previous prime is 134449043. The next prime is 134449061. The reversal of 134449056 is 650944431.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1344490562 = 36153097318582272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 134449056.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32311 + ... + 36233.

It is an arithmetic number, because the mean of its divisors is an integer number (3213756).

Almost surely, 2134449056 is an apocalyptic number.

134449056 is a gapful number since it is divisible by the number (16) 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 134449056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231390432).

134449056 is an abundant number, since it is smaller than the sum of its proper divisors (328331808).

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

134449056 is a wasteful number, since it uses less digits than its factorization.

134449056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3963 (or 3952 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 134449056 is about 11595.2169449304. The cubic root of 134449056 is about 512.2939799334.

It can be divided in two parts, 13444 and 9056, that added together give a square (22500 = 1502).

The spelling of 134449056 in words is "one hundred thirty-four million, four hundred forty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 32 34 36 42 48 51 56 63 68 72 84 96 102 112 119 126 136 144 153 168 204 224 238 252 272 288 306 336 357 408 476 504 544 612 672 714 816 952 1008 1071 1224 1428 1632 1904 2016 2142 2448 2856 3808 3923 4284 4896 5712 7846 8568 11424 11769 15692 17136 23538 27461 31384 34272 35307 47076 54922 62768 66691 70614 82383 94152 109844 125536 133382 141228 164766 188304 200073 219688 247149 266764 282456 329532 376608 400146 439376 466837 494298 533528 564912 600219 659064 800292 878752 933674 988596 1067056 1129824 1200438 1318128 1400511 1600584 1867348 1977192 2134112 2400876 2636256 2801022 3201168 3734696 3954384 4201533 4801752 5602044 6402336 7469392 7908768 8403066 9603504 11204088 14938784 16806132 19207008 22408176 33612264 44816352 67224528 134449056