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134384544 = 25327191349
BaseRepresentation
bin10000000001010…
…00101110100000
3100100212102221100
420000220232200
5233400301134
621200154400
73221151450
oct1000505640
9310772840
10134384544
1169947108
1239008a00
1321ac23a8
1413bc1d60
15bbe7999
hex8028ba0

134384544 has 144 divisors (see below), whose sum is σ = 440294400. Its totient is φ = 38085120.

The previous prime is 134384539. The next prime is 134384557. The reversal of 134384544 is 445483431.

134384544 is a `hidden beast` number, since 1 + 34 + 3 + 84 + 544 = 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 = 134384499 and 134384508.

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, 384882 + ... + 385230.

It is an arithmetic number, because the mean of its divisors is an integer number (3057600).

Almost surely, 2134384544 is an apocalyptic number.

134384544 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 134384544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220147200).

134384544 is an abundant number, since it is smaller than the sum of its proper divisors (305909856).

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

134384544 is a wasteful number, since it uses less digits than its factorization.

134384544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 552 counting only the distinct ones).

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

The square root of 134384544 is about 11592.4347744553. The cubic root of 134384544 is about 512.2120296951.

The spelling of 134384544 in words is "one hundred thirty-four million, three hundred eighty-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 191 224 252 288 336 349 382 504 573 672 698 764 1008 1047 1146 1337 1396 1528 1719 2016 2094 2292 2443 2674 2792 3056 3141 3438 4011 4188 4584 4886 5348 5584 6112 6282 6876 7329 8022 8376 9168 9772 10696 11168 12033 12564 13752 14658 16044 16752 18336 19544 21392 21987 24066 25128 27504 29316 32088 33504 39088 42784 43974 48132 50256 55008 58632 64176 66659 78176 87948 96264 100512 117264 128352 133318 175896 192528 199977 234528 266636 351792 385056 399954 466613 533272 599931 703584 799908 933226 1066544 1199862 1399839 1599816 1866452 2133088 2399724 2799678 3199632 3732904 4199517 4799448 5599356 6399264 7465808 8399034 9598896 11198712 14931616 16798068 19197792 22397424 33596136 44794848 67192272 134384544