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134485344 = 25327193511
BaseRepresentation
bin10000000010000…
…01010101100000
3100101001120012200
420001001111200
5233412012334
621202253200
73222051360
oct1001012540
9311046180
10134485344
1169a05914
1239057200
1321b29236
1413c0a9a0
15bc17799
hex8041560

134485344 has 144 divisors (see below), whose sum is σ = 460212480. Its totient is φ = 36391680.

The previous prime is 134485339. The next prime is 134485397. The reversal of 134485344 is 443584431.

134485344 is a `hidden beast` number, since 134 + 485 + 3 + 44 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 134485299 and 134485308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36549 + ... + 40059.

It is an arithmetic number, because the mean of its divisors is an integer number (3195920).

Almost surely, 2134485344 is an apocalyptic number.

134485344 is a gapful number since it is divisible by the number (14) 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 134485344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230106240).

134485344 is an abundant number, since it is smaller than the sum of its proper divisors (325727136).

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

134485344 is a wasteful number, since it uses less digits than its factorization.

134485344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3553 (or 3542 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 134485344 is about 11596.7816225020. The cubic root of 134485344 is about 512.3400654230.

The spelling of 134485344 in words is "one hundred thirty-four million, four hundred eighty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 32 36 38 42 48 56 57 63 72 76 84 96 112 114 126 133 144 152 168 171 224 228 252 266 288 304 336 342 399 456 504 532 608 672 684 798 912 1008 1064 1197 1368 1596 1824 2016 2128 2394 2736 3192 3511 4256 4788 5472 6384 7022 9576 10533 12768 14044 19152 21066 24577 28088 31599 38304 42132 49154 56176 63198 66709 73731 84264 98308 112352 126396 133418 147462 168528 196616 200127 221193 252792 266836 294924 337056 393232 400254 442386 466963 505584 533672 589848 600381 786464 800508 884772 933926 1011168 1067344 1179696 1200762 1400889 1601016 1769544 1867852 2134688 2359392 2401524 2801778 3202032 3539088 3735704 4202667 4803048 5603556 6404064 7078176 7471408 8405334 9606096 11207112 14942816 16810668 19212192 22414224 33621336 44828448 67242672 134485344