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134384832 = 26358641
BaseRepresentation
bin10000000001010…
…00110011000000
3100100212110100000
420000220303000
5233400303312
621200200000
73221152341
oct1000506300
9310773300
10134384832
116994734a
1239009000
1321ac256a
1413bc20c8
15bbe7adc
hex8028cc0

134384832 has 84 divisors (see below), whose sum is σ = 399502376. Its totient is φ = 44789760.

The previous prime is 134384827. The next prime is 134384849. The reversal of 134384832 is 238483431.

It is a happy number.

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

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

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 11 ways as a sum of consecutive naturals, for example, 11232 + ... + 19872.

Almost surely, 2134384832 is an apocalyptic number.

134384832 is a gapful number since it is divisible by the number (12) 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 134384832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199751188).

134384832 is an abundant number, since it is smaller than the sum of its proper divisors (265117544).

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

134384832 is an frugal number, since it uses more digits than its factorization.

134384832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8668 (or 8646 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 134384832 is about 11592.4471963430. The cubic root of 134384832 is about 512.2123956026.

The spelling of 134384832 in words is "one hundred thirty-four million, three hundred eighty-four thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 864 972 1296 1728 1944 2592 3888 5184 7776 8641 15552 17282 25923 34564 51846 69128 77769 103692 138256 155538 207384 233307 276512 311076 414768 466614 553024 622152 699921 829536 933228 1244304 1399842 1659072 1866456 2099763 2488608 2799684 3732912 4199526 4977216 5599368 7465824 8399052 11198736 14931648 16798104 22397472 33596208 44794944 67192416 134384832