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134301300 = 223527312063
BaseRepresentation
bin10000000000101…
…00011001110100
3100100201012202020
420000110121310
5233340120200
621154313140
73220353660
oct1000243164
9310635666
10134301300
116989a611
1238b887b0
1321a93533
1413b9d8a0
15bbccea0
hex8014674

134301300 has 144 divisors (see below), whose sum is σ = 458637312. Its totient is φ = 29692800.

The previous prime is 134301283. The next prime is 134301353. The reversal of 134301300 is 3103431.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 134301300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64069 + ... + 66131.

Almost surely, 2134301300 is an apocalyptic number.

134301300 is a gapful number since it is divisible by the number (10) 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 134301300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229318656).

134301300 is an abundant number, since it is smaller than the sum of its proper divisors (324336012).

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

134301300 is a wasteful number, since it uses less digits than its factorization.

134301300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2118 (or 2111 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 134301300 is about 11588.8437732157. The cubic root of 134301300 is about 512.1062452448.

Adding to 134301300 its reverse (3103431), we get a palindrome (137404731).

The spelling of 134301300 in words is "one hundred thirty-four million, three hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 31 35 42 50 60 62 70 75 84 93 100 105 124 140 150 155 175 186 210 217 300 310 350 372 420 434 465 525 620 651 700 775 868 930 1050 1085 1302 1550 1860 2063 2100 2170 2325 2604 3100 3255 4126 4340 4650 5425 6189 6510 8252 9300 10315 10850 12378 13020 14441 16275 20630 21700 24756 28882 30945 32550 41260 43323 51575 57764 61890 63953 65100 72205 86646 103150 123780 127906 144410 154725 173292 191859 206300 216615 255812 288820 309450 319765 361025 383718 433230 447671 618900 639530 722050 767436 866460 895342 959295 1083075 1279060 1343013 1444100 1598825 1790684 1918590 2166150 2238355 2686026 3197650 3837180 4332300 4476710 4796475 5372052 6395300 6715065 8953420 9592950 11191775 13430130 19185900 22383550 26860260 33575325 44767100 67150650 134301300