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134638320 = 24352324391
BaseRepresentation
bin10000000011001…
…10101011110000
3100101100100001110
420001212223300
5233431411240
621205433320
73223256355
oct1001465360
9311310043
10134638320
1169aaa843
123910b840
1321b80a5b
1413c4a62c
15bc47c80
hex8066af0

134638320 has 80 divisors (see below), whose sum is σ = 435543552. Its totient is φ = 34341120.

The previous prime is 134638307. The next prime is 134638327. The reversal of 134638320 is 23836431.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134638327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6676 + ... + 17715.

Almost surely, 2134638320 is an apocalyptic number.

134638320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134638320 is an abundant number, since it is smaller than the sum of its proper divisors (300905232).

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

134638320 is a wasteful number, since it uses less digits than its factorization.

134638320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24430 (or 24424 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 134638320 is about 11603.3753709858. The cubic root of 134638320 is about 512.5342527176.

The spelling of 134638320 in words is "one hundred thirty-four million, six hundred thirty-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 2760 5520 24391 48782 73173 97564 121955 146346 195128 243910 292692 365865 390256 487820 560993 585384 731730 975640 1121986 1170768 1463460 1682979 1951280 2243972 2804965 2926920 3365958 4487944 5609930 5853840 6731916 8414895 8975888 11219860 13463832 16829790 22439720 26927664 33659580 44879440 67319160 134638320