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136034304 = 211373163
BaseRepresentation
bin10000001101110…
…11100000000000
3100110222020222120
420012323200000
5234311044204
621255404240
73241162320
oct1006734000
9313866876
10136034304
116a87364a
1239683680
132224c293
14140d1280
15be216d9
hex81bb800

136034304 has 96 divisors (see below), whose sum is σ = 414610560. Its totient is φ = 38854656.

The previous prime is 136034303. The next prime is 136034317. The reversal of 136034304 is 403430631.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136034303) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41427 + ... + 44589.

It is an arithmetic number, because the mean of its divisors is an integer number (4318860).

Almost surely, 2136034304 is an apocalyptic number.

136034304 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 136034304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207305280).

136034304 is an abundant number, since it is smaller than the sum of its proper divisors (278576256).

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

136034304 is an equidigital number, since it uses as much as digits as its factorization.

136034304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3195 (or 3175 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 136034304 is about 11663.3744688233. The cubic root of 136034304 is about 514.2995523613.

Adding to 136034304 its reverse (403430631), we get a palindrome (539464935).

The spelling of 136034304 in words is "one hundred thirty-six million, thirty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2048 2688 3072 3163 3584 5376 6144 6326 7168 9489 10752 12652 14336 18978 21504 22141 25304 37956 43008 44282 50608 66423 75912 88564 101216 132846 151824 177128 202432 265692 303648 354256 404864 531384 607296 708512 809728 1062768 1214592 1417024 1619456 2125536 2429184 2834048 3238912 4251072 4858368 5668096 6477824 8502144 9716736 11336192 17004288 19433472 22672384 34008576 45344768 68017152 136034304