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134143344 = 24331959277
BaseRepresentation
bin1111111111011…
…01110101110000
3100100102012002000
413333231311300
5233320041334
621151054000
73216125316
oct777556560
9310365060
10134143344
11697a1975
1238b11300
1321a3967a
1413b5c0b6
15bb9b299
hex7fedd70

134143344 has 160 divisors (see below), whose sum is σ = 413664000. Its totient is φ = 41492736.

The previous prime is 134143333. The next prime is 134143393. The reversal of 134143344 is 443341431.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 484134 + ... + 484410.

It is an arithmetic number, because the mean of its divisors is an integer number (2585400).

Almost surely, 2134143344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134143344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206832000).

134143344 is an abundant number, since it is smaller than the sum of its proper divisors (279520656).

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

134143344 is a wasteful number, since it uses less digits than its factorization.

134143344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 360 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 134143344 is about 11582.0267656399. The cubic root of 134143344 is about 511.9053983745.

Adding to 134143344 its reverse (443341431), we get a palindrome (577484775).

The spelling of 134143344 in words is "one hundred thirty-four million, one hundred forty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 59 72 76 108 114 118 144 152 171 177 216 228 236 277 304 342 354 432 456 472 513 531 554 684 708 831 912 944 1026 1062 1108 1121 1368 1416 1593 1662 2052 2124 2216 2242 2493 2736 2832 3186 3324 3363 4104 4248 4432 4484 4986 5263 6372 6648 6726 7479 8208 8496 8968 9972 10089 10526 12744 13296 13452 14958 15789 16343 17936 19944 20178 21052 25488 26904 29916 30267 31578 32686 39888 40356 42104 47367 49029 53808 59832 60534 63156 65372 80712 84208 94734 98058 119664 121068 126312 130744 142101 147087 161424 189468 196116 242136 252624 261488 284202 294174 310517 378936 392232 441261 484272 568404 588348 621034 757872 784464 882522 931551 1136808 1176696 1242068 1765044 1863102 2273616 2353392 2484136 2794653 3530088 3726204 4968272 5589306 7060176 7452408 8383959 11178612 14904816 16767918 22357224 33535836 44714448 67071672 134143344