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134014320 = 243251116921
BaseRepresentation
bin1111111110011…
…10010101110000
3100100011122002100
413333032111300
5233301424240
621144220400
73215050206
oct777162560
9310148070
10134014320
1169713a40
1238a6a700
13219c2a1b
1413b27076
15bb72e30
hex7fce570

134014320 has 120 divisors (see below), whose sum is σ = 491008752. Its totient is φ = 32486400.

The previous prime is 134014313. The next prime is 134014339. The reversal of 134014320 is 23410431.

134014320 is a `hidden beast` number, since 1 + 340 + 1 + 4 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 134014293 and 134014302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 541 + ... + 16380.

Almost surely, 2134014320 is an apocalyptic number.

134014320 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 134014320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245504376).

134014320 is an abundant number, since it is smaller than the sum of its proper divisors (356994432).

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

134014320 is a wasteful number, since it uses less digits than its factorization.

134014320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16951 (or 16942 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 134014320 is about 11576.4554160589. The cubic root of 134014320 is about 511.7412225824.

Adding to 134014320 its reverse (23410431), we get a palindrome (157424751).

The spelling of 134014320 in words is "one hundred thirty-four million, fourteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2640 3960 7920 16921 33842 50763 67684 84605 101526 135368 152289 169210 186131 203052 253815 270736 304578 338420 372262 406104 507630 558393 609156 676840 744524 761445 812208 930655 1015260 1116786 1218312 1353680 1489048 1522890 1675179 1861310 2030520 2233572 2436624 2791965 2978096 3045780 3350358 3722620 4061040 4467144 5583930 6091560 6700716 7445240 8375895 8934288 11167860 12183120 13401432 14890480 16751790 22335720 26802864 33503580 44671440 67007160 134014320